ORIGINAL_ARTICLE
Bending and vibration analysis of delaminated Bernoulli–Euler micro-beams using the modified couple stress theory
In this paper, we study static bending and free vibration behavior of Bernoulli–Euler micro-beams with a single delamination using the modified couple stress theory. The delaminated beam is modeled by four interconnected sub-beams using the delamination zone as their boundaries. The free and constrained mode theories have been utilized to model the interaction of delamination surfaces in the damaged area. The continuity as well as compatibility conditions are satisfied between the neighboring sub-beams. After verification of the results for some case studies with available solutions, the effect of various parameters such as spanwise and thicknesswise locations of the delamination, material length scale parameter, and boundary conditions on the static bending and free vibration characteristics of the size-dependent micro-beam have been investigated in detail.
https://scientiairanica.sharif.edu/article_4252_8dfb6c21c9b15a1e5ed5dfcdeddae36f.pdf
2018-04-01
675
688
10.24200/sci.2017.4252
Delaminated micro-beam
free vibration
modified couple stress theory
Free and constrained models
R. - A.
Jafari - Talookolaei
1
Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol 47148-71167, Iran
LEAD_AUTHOR
N.
Ebrahimzade
2
Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol 47148 - 71167, Iran
AUTHOR
S.
Rashidi - Juybari
3
Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol 47148 - 71167, Iran
AUTHOR
K.
Teimoori
4
Department of Mechanical Engineering, The City College of the City University of New York, NY 10031, USA
AUTHOR
References
1
1. Hung, E.S. and Senturia, S.D. \Extending the travel
2
range of analog-tuned electrostatic actuators", J. Microelectromech.
3
S., 8(4), pp. 497-505 (1999).
4
2. Pei, J., Tian, F., and Thundat, T. \Novel glucose
5
biosensor based on the microcantilever", Anal. Chem.,
6
76, pp. 292-297 (2004).
7
3. Pereira, R.D.S. \Atomic force microscopy as a novel
8
pharmacological tool", Biochem. Pharmacol., 62, pp.
9
975-983 (2001).
10
4. Jafari-Talookolaei, R.A., Abedi, M., Simsek, M., and
11
Attar, M. \Dynamics of a micro scale Timoshenko
12
beam subjected to a moving micro particle based on
13
the modied couple stress theory", J. Vib. Control,
14
24(3), pp. 527-548 (2018).
15
5. Mindlin, R. and Tiersten, H. \Eects of couple-stresses
16
in linear elasticity", Arch. Ration. Mech. An., 11, pp.
17
415-448 (1962).
18
6. Toupin, R.A. \Elastic materials with couple-stresses",
19
Arch. Ration. Mech. An., 11, pp. 385-414 (1962).
20
7. Yang, F., Chong, A., Lam, D., and Tong, P. \Couple
21
stress based strain gradient theory for elasticity", Int.
22
J. Solids Struct., 39, pp. 2731-2743 (2002).
23
8. Park, S.K. and Gao, X.L. \Bernoulli-Euler beam
24
model based on a modied couple stress theory", J.
25
Micromech. Microeng., 16, pp. 2355-2359 (2006).
26
9. Ma, H.M., Gao, X.L., and Reddy, J. \A microstructure-
27
dependent Timoshenko beam model based
28
on a modied couple stress theory", J. Mech. Phys.
29
Solids, 56, pp. 3379-3391 (2008).
30
10. Dehrouyeh-Semnani, A.M. and Nikkhah-Bahrami, M.
31
\A discussion on incorporating the Poisson eect in
32
micro-beam models based on modied couple stress
33
theory", Int. J. Eng. Sci., 86, pp. 20-25 (2015).
34
11. Reddy, J.N. and El-Borgi, S. \Eringen's nonlocal
35
theories of beams accounting for moderate rotations",
36
Int. J. Eng. Sci., 82, pp. 159-177 (2014).
37
12. Kahrobaiyan, M.H., Asghari, M., Rahaeifard, M., and
38
Ahmadian, M.T. \Investigation of the size-dependent
39
dynamic characteristics of atomic force microscope
40
microcantilevers based on the modied couple stress
41
theory", Int. J. Eng. Sci., 48, pp. 1985-1994 (2010).
42
13. Asghari, M., Kahrobaiyan, M.H., and Ahmadian, M.T.
43
\A nonlinear Timoshenko beam formulation based on
44
the modied couple stress theory", Int. J. Eng. Sci.,
45
48, pp. 1749-1761 (2010).
46
14. Akgoz, B. and Civalek, O. \Strain gradient elasticity
47
and modied couple stress models for buckling analysis
48
of axially loaded micro-scaled beams", Int. J. Eng.
49
Sci., 49, pp. 1268-1280 (2011).
50
15. Simsek, M. and Reddy, J.N. \Bending and vibration of
51
functionally graded micro-beams using a new higher
52
order beam theory and the modied couple stress
53
theory", Int. J. Eng. Sci., 64, pp. 37-53 (2013).
54
16. Akgoz, B. and Civalek, O. \Free vibration analysis
55
of axially functionally graded tapered Bernoulli-Euler
56
micro-beams based on the modied couple stress theory",
57
Compos. Struct., 98, pp. 314-322 (2013).
58
17. Mohammad Abadi, M. and Daneshmehr, A.R. \An investigation
59
of modied couple stress theory in buckling
60
analysis of micro composite laminated Euler-Bernoulli
61
and Timoshenko beams", Int. J. Eng. Sci., 75, pp.
62
40-53 (2014).
63
18. Darijani, H. and Mohammadabadi, H. \A new deformation
64
beam theory for static and dynamic analysis of
65
micro-beams", Int. J. Mech. Sci., 89, pp. 31-39 (2014).
66
19. Dai, H.L., Wang, Y.K., and Wang, L. \Nonlinear dynamics
67
of cantilevered micro-beams based on modied
68
couple stress theory", Int. J. Eng. Sci., 94, pp. 103-112
69
20. Mohammad-Abadi, M. and Daneshmehr, A.R. \Size
70
dependent buckling analysis of micro-beams based on
71
modied couple stress theory with high order theories
72
and general boundary conditions", Int. J. Eng. Sci.,
73
74, pp. 1-14 (2014).
74
21. Simsek, M. \Nonlinear static and free vibration analysis
75
of micro-beams based on the nonlinear elastic
76
foundation using modied couple stress theory and
77
He's variational method", Compos. Struct., 112, pp.
78
264-272 (2014).
79
22. Ghayesh, M.H., Farokhi, H., and Amabili, M. \Nonlinear
80
dynamics of a microscale beam based on the
81
modied couple stress theory", Compos. Eng., 50, pp.
82
318-324 (2013).
83
23. Farokhi, H., Ghayesh, M.H., and Amabili, M. \Nonlinear
84
dynamics of a geometrically imperfect micro-beam
85
based on the modied couple stress theory", Int. J.
86
Eng. Sci., 68, pp. 11-23 (2013).
87
24. Wang, J.T.S., Liu, Y.Y., and Gibby, J.A. \Vibrations
88
of split beams", J. Sound Vib., 84, pp. 491-502 (1982).
89
25. Mujumdar, P.M. and Suryanarayan, S. \Flexural vibrations
90
of beams with delaminations", J. Sound Vib.,
91
125, pp. 441-461 (1988).
92
26. Shen, M.H. and Grady, J.E. \Free vibrations of delaminated
93
beams", AIAA J., 30, pp. 1361-1370 (1992).
94
27. Della, C.N., Shu, D., and MSRao, P. \Vibrations of
95
beams with two overlapping delaminations", Compos.
96
Struct., 66, pp. 101-108 (2004).
97
28. Manoach, E., Warminski Mitura, J.A., and Samborski,
98
S. \Dynamics of a composite Timoshenko beam with
99
delamination", Mech. Res. Commun., 46, pp. 47-53
100
29. Kargarnovin, M.H., Ahmadian, M.T., and Jafari-
101
Talookolaei, R.A. \Forced vibration of delaminated
102
Timoshenko beams subjected to a moving load", Sci.
103
Eng. Compos. Mater., 19, pp. 145-157 (2012).
104
688 R.-A. Jafari-Talookolaei et al./Scientia Iranica, Transactions B: Mechanical Engineering 25 (2018) 675{688
105
30. Kargarnovin, M.H., Jafari-Talookolaei, R.A., and Ahmadian,
106
M.T. \Vibration analysis of delaminated
107
Timoshenko beams under the motion of a constant
108
amplitude point force traveling with uniform velocity",
109
Int. J. Mech. Sci., 70, pp. 39-49 (2013).
110
31. Szekrenyes, A. \Coupled
111
exural-longitudinal vibration
112
of delaminated composite beams with local stability
113
analysis", J. Sound Vib., 333, pp. 5141-5164
114
32. Szekrenyes, A. \A special case of parametrically excited
115
systems: Free vibration of delaminated composite
116
beams", Eur. J. Mech. A-Solid, 49, pp. 82-105
117
33. Attar, M., Karrech, A., and Regenauer-Lieb, K. \Nonlinear
118
modal analysis of structural components subjected
119
to unilateral constraints", J. Sound Vib., 389,
120
pp. 380-410 (2016).
121
34. Attar, M., Karrech, A., and Regenauer-Lieb, K. \Nonlinear
122
analysis of beam-like structures on unilateral
123
foundations: a lattice spring model", Int. J. Solids
124
Struct., 88, pp. 192-214 (2016).
125
35. Clive, L.D. and Shames, I.H., Solid Mechanics, A
126
Variational Approach, Springer (2013).
127
ORIGINAL_ARTICLE
Numerical simulation of porous radiant burners under transient condition
The purpose of this work is to analyze two dimensional rectangular porous radiant burners for investigating the thermal characteristics of this type of burners in starting time period. Since, the solid and gas phases are not in thermal equilibrium, two separate energy equations for these two phases are solved numerically with alternative direction implicit scheme. The gas is considered non-radiative medium and for computation of radiative heat flux through the solid phase, the radiative transfer equation (RTE) is employed and solved with the discrete ordinates method (DOM). It is obtained that due to the dominant radiation effects, the required time to reach the steady gas temperature is very low. Furthermore, the effects of optical thickness and scattering albedo on the performance of porous radiant burner (PRB) are investigated.
https://scientiairanica.sharif.edu/article_4251_818ce819938113b966e22c237d878f4b.pdf
2018-04-01
689
699
10.24200/sci.2017.4251
Porous radiant burner
transient condition
discrete ordinate method
Hoda
Shabani Nejad
hshabani.nejad@gmail.com
1
Department of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran
AUTHOR
Seyed Abdolreza
Gandjalikhan Nassab
2
Department of Energy, Institute of Science, High Technology and Environmental Sciences, Graduate University of Advanced Technology, Kerman, Iran
LEAD_AUTHOR
E brahim
Jahanshahi Javaran
3
Department of Energy, Institute of Science, High Technology and Environmental Sciences, Graduate University of Advanced Technology, Kerman, Iran.
AUTHOR
References
1
1. Takeno, T., Sato, K., and Hase, K. \A theoretical
2
study on an excess enthalpy
3
ame", Proceedings of 18th
4
Int. Symposium on Combustion, Waterloo, pp. 465-72
5
2. Echigo, R., Yoshizawa, Y., Hanamura, K., and
6
Tomimura, T. \Analytical and experimental studies
7
on radiative propagation in porous media with internal
8
heat generation", Proceedings of 8th Int. Heat Transfer
9
Conf., pp. 827-832 (1986).
10
3. Yoshida, H., Yung, J.H., Echigo, R., and Tomimura,
11
T. \Transient characteristics of combined conduction,
12
convection and radiation heat transfer in porous media",
13
Int. J. Heat Mass Transfer, 33(5), pp. 847 - 857
14
4. Sathe, S. and Tong, T. \A numerical analysis of heat
15
transfer and combustion in porous radiant burners",
16
Int. J. Heat Mass Transfer, 33, pp. 1331-1338 (1990).
17
5. Sathe, S., Kulkarni, M.R., Peck, R.E., and Tong, T.W.
18
\An experimental and theoretical study of porous radiant
19
burner performance", International Symposium
20
on Combustion, pp. 1011-1018 (1991).
21
6. Christo, F.C. \A parametric analysis of a coupled
22
chemistry-radiation model in porous media", DSTORR-
23
0188 (2000).
24
7. Brenner, G., Pickenacker, K., Pickenacker, O., Trimis,
25
D., Wawrzinek, K., and Weber, T. \Numerical
26
and experimental investigation of matrix-stabilized
27
methane/air combustion in porous inert media", Int.
28
J. Combustion Flame, 123, pp. 201-213 (2000).
29
8. Talukdar, P., Mishra, S.C., Trimis, D., and Durst,
30
F. \Heat transfer characteristics of a porous radiant
31
burner under the in
32
uence of a 2-D radiation eld", J.
33
Quantitative Spectroscopy & Radiative Transfer, 84,
34
pp. 527-537 (2004).
35
9. Lari, K. and Gandjalikhan Nassab, S.A. \Transient
36
thermal characteristics of porous radiant burners",
37
Iranian J. of Science & Technology, Transition B,
38
Engineering, 31, pp. 407-420 (2007).
39
10. Farzaneh, M., Ebrahimi, R., Shams, M., and Shaey,
40
M. \Numerical simulation of thermal performance of a
41
porous burner", Chemical Engineering and Processing:
42
Process Intensication, 48, pp. 623-632 (2009).
43
11. Keshtkar, M.M. and Gandjalikhan Nassab, S.A. \Theoretical
44
analysis of porous radiant burners under 2-D
45
radiation eld using discrete ordinates method", Int. J.
46
Quantitative Spectroscopy & Radiative Transfer, 110,
47
pp. 1894-1907 (2009).
48
12. Jahanshahi Javaran, E., Gandjalikhan Nassab, S.A.,
49
and Jafari, S. \Thermal analysis of a 2-D heat recovery
50
system using porous media including lattice Boltzmann
51
simulation of
52
ow", International Journal
53
of Thermal Sciences, 49(6), pp. 1031-1041 (2010).
54
13. Chandra, N. and Nakamura, Y. \Modeling and asymptotic
55
analysis of combustion of solid fuel deposited
56
over an inert porous medium", J. Thermal Science and
57
Technology, 12, pp. 723-739 (2012).
58
H. Shabani Nejad et al./Scientia Iranica, Transactions B: Mechanical Engineering 25 (2018) 689{699 699
59
14. Alazmi, B. and Vafai, K. \Constant wall heat
60
boundary conditions in porous media under local thermal
61
non-equilibrium conditions", Int. J. Heat Mass
62
Transfer, 45, pp. 3071-3087 (2002).
63
15. Sigel, R. and Howell, J., Thermal Radiation Heat
64
Transfer, Taylor & Francis (2002).
65
16. Mital, R., Gore, J.P., and Viskant, R. \Measurement
66
of extinction coecient and single scattering albedo
67
of reticulated porous ceramic at high temperatures",
68
30th AIAA Thermodynamics Conference, June 19-22,
69
San Diego (1995).
70
17. Escobedo, F. and Viljoen, H.J. \Modeling of porous
71
radiant burners with large extinction coecients",
72
Canadian J. of Chemical Engineering, 72, pp. 805-814
73
ORIGINAL_ARTICLE
Application of Hyperelastic Models in Mechanical Properties prediction of Mouse Oocyte and Embryo Cells at Large Deformations
Biological cell studies have many applications in biology, cell manipulation and diagnosis of diseases such as cancer and malaria. In this study, inverse finite element method (IFEM) combined with Levenberg-Marquardt optimization algorithm has been used to extract and characterize material properties of mouse oocyte and embryo cells at large deformations. Then, the simulation results have been validated using data from experimental works. In this study, it is assumed cell material is hyperelastic, isotropic, homogenous and axisymmetric. For inverse analysis, FEM model of cell injection experiment which implemented in Abaqus software has been coupled with Levenberg-Marquardt optimization algorithm written in Matlab; based on this coupling the optimum hyperelastic coefficients which give the best match between experimental and simulated forces are extracted. Results show that among different hyperelastic material models, Ogden material is well suitable for characterization of mouse oocyte cell and Mooney-Rivlin or polynomial are suitable for characterization of mouse embryo cell. Moreover the evaluated Poisson ratio of the cell is obtained to be equal to 0.5, which indicates the structural material of mouse oocyte and embryo, are compressible.
https://scientiairanica.sharif.edu/article_4321_d79547fa63f4b0a1ee3bdad7a7342f21.pdf
2018-04-01
700
710
10.24200/sci.2017.4321
Biological cell
Inverse Finite Element Method
Hyperelastic material
Levenberg-Marquardt optimization algorithm
Large Deformation
Ali
A. Abbasi
1
School of Mechanical Engineering, Sharif University of Technology, Tehran, 11155-9161, Iran
AUTHOR
M.T.
Ahmadian
ahmadian@sharif.ir
2
Center of Excellence in Design, Robotics and Automation (CEDRA), School Of Mechanical Engineering, Sharif University of Technology, Tehran, 11155-9161, Iran
LEAD_AUTHOR
Ali
Alizadeh
aalizadeh@sharif.edu
3
Institute for Biotechnology & Environment (IBE), Sharif University of Technology, Tehran, 11155-9161, Iran
AUTHOR
S.
Tarighi
s_tarighi@pgre.iust.ac.ir
4
School of Management and Economics, Sharif University of Technology, Tehran, 11155-9161, Iran
AUTHOR
References
1
1. Lim, C.T., Zhou, E.H., and Quek, S.T. \Mechanical
2
models for living cells-a review", Journal of Biomechanics,
3
39, pp. 195-216 (2006).
4
2. Ladjal, H., Hanus, J.-L., and Ferreira, A. \Micro-tonano
5
biomechanical modeling for assisted biological
6
cell injection", IEEE Transactions on Biomedical Engineering,
7
60, pp. 2461-2471 (2013).
8
3. Tan, Y., Sun, D., Huang, W., and Cheng, S.H. \Mechanical
9
modeling of biological cells in microinjection",
10
IEEE Transactions on NanoBioscience, 7, pp. 257-266
11
4. Dupire, J., Socol, M. and Viallat, A. \Full dynamics
12
of a red blood cell in shear
13
ow", Proceedings of the
14
National Academy of Sciences, 109, pp. 20808-20813
15
5. Chan, B., Li, C., Au-Yeung, K., Sze, K., and Ngan, A.
16
\A microplate compression method for elastic modulus
17
measurement of soft and viscoelastic collagen microspheres",
18
Annals of Biomedical Engineering, 36, pp.
19
1254-1267 (2008).
20
6. Hochmuth, R.M. \Micropipette aspiration of living
21
cells", Journal of Biomechanics, 33, pp. 15-22 (2000).
22
7. MacKay, J.L. and Kumar, S. \Measuring the elastic
23
properties of living cells with atomic force microscopy
24
indentation", Cell Imaging Techniques, pp. 313-329
25
8. Zhong, M.-C., Wei, X.-B., Zhou, J.-H., Wang, Z.-Q.,
26
and Li, Y.-M. \Trapping red blood cells in living animals
27
using optical tweezers", Nature Communications,
28
4, p. 1768 (2013).
29
9. Yarmush, M.L. and King, K.R. \Living-cell microarrays",
30
Annual Review of Biomedical Engineering, 11,
31
pp. 235-257 (2009).
32
10. Puig-De-Morales, M., Grabulosa, M., Alcaraz, J.,
33
Mullol, J., Maksym, G.N., Fredberg, J.J., and Navajas,
34
D. \Measurement of cell microrheology by magnetic
35
twisting cytometry with frequency domain demodulation",
36
Journal of Applied Physiology, 91, pp. 1152-1159
37
11. Laurent, V.M., Henon, S., Planus, E., Fodil, R.,
38
Balland, M., Isabey, D., and Gallet, F. \Assessment
39
of mechanical properties of adherent living cells by
40
bead micromanipulation: Comparison of magnetic
41
twisting cytometry vs optical tweezers", Journal of
42
Biomechanical Engineering, 124, pp. 408-421 (2002).
43
12. Ca~nadas, P., Wendling-Mansuy, S. and Isabey, D.
44
\Frequency response of a viscoelastic tensegrity model:
45
Structural rearrangement contribution to cell dynamics",
46
Journal of Biomechanical Engineering, 128, pp.
47
487-495 (2005).
48
13. Abbasi, A.A., Vossoughi, G., and Ahmadian, M. \Deformation
49
prediction by a feed forward articial neural
50
network during mouse embryo micromanipulation",
51
Animal Cells and Systems, 16, pp. 121-126 (2012).
52
14. Abbasi, A.A., Ahmadian, M., and Vossoughi, G.
53
\Comparison of mouse embryo deformation modeling
54
under needle injection using analytical Jacobian, nonlinear
55
least square and articial neural network techniques",
56
Scientia Iranica, 18, pp. 1486-1491 (2011).
57
15. Abbasi, A.A., Sayyaadi, H., and Vossoughi, G. \Sensitivity
58
analysis of mouse embryos in needle injection
59
A.A. Abbasi et al./Scientia Iranica, Transactions B: Mechanical Engineering 25 (2018) 700{710 709
60
experiment using articial neural network", 2nd International
61
Conference on Future Information Technology
62
(ICFIT 2011), Singapore, pp. 16-18 (2011).
63
16. Abbasi, A.A., Ahmadian, M., and Vossoughi, G.
64
\Deformation prediction of mouse embryos in cell
65
injection experiment by a feedforward articial neural
66
network", ASME 2011 International Design Engineering
67
Technical Conferences and Computers and Information
68
in Engineering Conference, American Society
69
of Mechanical Engineers, Washington, DC, USA, pp.
70
543-550 (2011).
71
17. Ahmadian, M., Vossoughi, G., Abbasi, A., and Raeissi,
72
P. \Cell deformation modeling under external force
73
using articial neural network", Journal of Solid Mechanics,
74
2, pp. 190-198 (2010).
75
18. Ahmadian, M., Vossoughi, G., Abbasi, A., and Raeissi,
76
P. \Modeling of cell deformation under external force
77
using neural network", ASME 2010 International Mechanical
78
Engineering Congress and Exposition, American
79
Society of Mechanical Engineers, 2, Vancouver,
80
British Columbia, Canada, pp. 659-665 (2010).
81
19. Abbasi, A.A. and Ahmadian, M. \Prediction of reaction
82
force on external indenter in cell injection experiment
83
using support vector machine technique", ASME
84
2012 International Mechanical Engineering Congress
85
and Exposition, American Society of Mechanical Engineers,
86
2, Houston, Texas, USA, pp. 537-543 (2012).
87
20. Abbasi, A.A., Barari, A., and Ahmadian, M. \Deformation
88
prediction of biological cells in cell injection
89
experiment using support vector machine modeling",
90
Proceedings of the Canadian Society for Mechanical
91
Engineering International Congress, Winnipeg, Manitoba,
92
Canada (2012).
93
21. Abbasi, A.A., Vossoughi, G., and Ahmadian, M.
94
\Application of adaptive neural fuzzy inference technique
95
for biological cell modeling-part A: Deformation
96
prediction", 2nd International Conference on Future
97
Information Technology (ICFIT 2011), IPCSIT, Singapore,
98
pp. 310-314 (2011).
99
22. Abbasi, A.A., Vossoughi, G., and Ahmadian, M.
100
\Application of adaptive neural fuzzy inference technique
101
for biological cell modeling-part B: Prediction
102
of external applied force", 2nd International Conference
103
on Future Information Technology (ICFIT 2011),
104
IPCSIT, Singapore (2011).
105
23. Abbasi, A.A., Ahmadian, M., and Barari, A. \Biological
106
cell modeling under needle injection experiment",
107
Proceedings of the Canadian Society for Mechanical
108
Engineering International Congress, Winnipeg, Manitoba,
109
Canada (2012).
110
24. Abbasi, A.A. and Ahmadian, M.T. \Large deformation
111
characterization of mouse oocyte cell under needle injection
112
experiment", Amirkabir International Journal
113
of Modeling, Identication, Simulation and Control,
114
44, pp. 21-25 (2012).
115
25. Namani, R. and Simha, N. \Inverse nite element
116
analysis of indentation tests to determine hyperelastic
117
parameters of soft-tissue layers", The Journal of Strain
118
Analysis for Engineering Design, 44, pp. 347-362
119
26. Delalleau, A., Josse, G., Lagarde, J., Zahouani, H.,
120
and Bergheau, J. \Characterization of the mechanical
121
properties of skin by inverse analysis combined with
122
the indentation test", Journal of Biomechanics, 39,
123
pp. 1603-1610 (2006).
124
27. Slaboch, C.L., Alber, M.S., Rosen, E.D., and Ovaert,
125
T.C. \Mechano-rheological properties of the murine
126
thrombus determined via nanoindentation and nite
127
element modeling", Journal of the Mechanical Behavior
128
of Biomedical Materials, 10, pp. 75-86 (2012).
129
28. Liu, K., VanLandingham, M.R., and Ovaert, T.C.
130
\Mechanical characterization of soft viscoelastic gels
131
via indentation and optimization-based inverse nite
132
element analysis", Journal of the Mechanical Behavior
133
of Biomedical Materials, 2, pp. 355-363 (2009).
134
29. Needham, D. and Hochmuth, R. \A sensitive measure
135
of surface stress in the resting neutrophil", Biophysical
136
Journal, 61, pp. 1664-1670 (1992).
137
30. Tsai, M.A., Frank, R.S., and Waugh, R.E. \Passive
138
mechanical behavior of human neutrophils: power-law
139
uid", Biophysical Journal, 65, pp. 2078-2088 (1993).
140
31. Hibbit, K. ABAQUS Theory and User Manuals Version
141
6.9, USA: ABAQUS Inc (2009).
142
32. \MATLAB 2008a, 1994-2010, The MathWorks," Inc.,
143
available at: www. mathworks. com.
144
33. Sun, Y., Wan, K.-T., Roberts, K.P., Bischof, J.C., and
145
Nelson, B.J. \Mechanical property characterization of
146
mouse zona pellucida", NanoBioscience, IEEE Transactions
147
on, 2, pp. 279-286 (2003).
148
34. Fluckiger, M. \Cell membrane mechanical modeling
149
for microrobotic cell manipulation", Diploma Thesis,
150
ETHZ Swiss Federal Institute of Technology, Zurich,
151
WS03/04 (2004).
152
35. Arruda, E.M. and Boyce, M.C. \A three-dimensional
153
constitutive model for the large stretch behavior of
154
rubber elastic materials", Journal of the Mechanics
155
and Physics of Solids, 41, pp. 389-412 (1993).
156
36. Samur, E., Sedef, M., Basdogan, C., Avtan, L., and
157
Duzgun, O. \A robotic indenter for minimally invasive
158
measurement and characterization of soft tissue
159
response", Medical Image Analysis, 11, pp. 361-373
160
37. Mooney, M. \A theory of large elastic deformation",
161
Journal of applied physics, 11, pp. 582-592 (1940).
162
38. Rivlin, R., \Large elastic deformations of isotropic
163
materials. IV. Further developments of the general
164
theory", Philosophical Transactions of the Royal Society
165
of London. Series A, Mathematical and Physical
166
Sciences, 241, pp. 379-397 (1948).
167
39. Ogden, R.W., Non-linear Elastic Deformations, Dover
168
Publications, pp. 532 (1997).
169
40. Macosko, C.W., Rheology: Principles, Measurement
170
and Applications, VCH Publishers, p. 550 (1994).
171
710 A.A. Abbasi et al./Scientia Iranica, Transactions B: Mechanical Engineering 25 (2018) 700{710
172
41. Ogden, R. \Large deformation isotropic elasticity-on
173
the correlation of theory and experiment for incompressible
174
rubberlike solids", Proceedings of the Royal
175
Society of London. A. Mathematical and Physical Sciences,
176
326, pp. 565-584 (1972).
177
42. Rivlin, R.S., and Saunders, D. \Large elastic deformations
178
of isotropic materials. VII. Experiments on the
179
deformation of rubber", Philosophical Transactions of
180
the Royal Society of London. Series A, Mathematical
181
and Physical Sciences, 243, pp. 251-288 (1951).
182
43. Kilian, H.-G. \Equation of state of real networks",
183
Polymer, 22, pp. 209-217 (1981).
184
44. Abbasi, A.A., and Ahmadian, M.T. \Whole cell mechanical
185
property characterization based on mechanical
186
properties of its cytoplasm and bio membrane in
187
cell injection experiment using inverse nite element
188
algorithm", Proceedings of the ASME 2012 International
189
Mechanical Engineering Congress & Exposition,
190
2, Houston, Texas, USA, (2012).
191
45. Abbasi, A.A., and Ahmadian, M. \Deformation characterization
192
of mouse oocyte cell using inverse nite
193
element and levenberg-Marquardt optimization algorithm
194
in needle injection experiment", ASME 2012 International
195
Design Engineering Technical Conferences
196
and Computers and Information in Engineering Conference,
197
American Society of Mechanical Engineers,
198
Chicago, Illinois, USA, pp. 847-852 (2012).
199
46. Tan, Y., Sun, D., Huang, W., and Cheng, S.H. \Characterizing
200
mechanical properties of biological cells
201
by microinjection", IEEE Transactions on Nanobioscience,
202
9, pp. 171-180 (2010).
203
47. Hochmuth, R.M., Mohandas, N., and Blackshear,
204
P.L. \Measurement of the elastic modulus for red
205
cell membrane using a
206
uid mechanical technique",
207
Biophysical Journal, 13, pp. 747-762 (1973).
208
48. Lei, F. and Szeri, A. \Inverse analysis of constitutive
209
models: biological soft tissues", Journal of Biomechanics,
210
40, pp. 936-940 (2007).
211
49. Davies, G.C., Hiller, S., and Bruce, D.M. \A membrane
212
model for elastic de
213
ection of individual plant
214
cell walls", Journal of Texture Studies, 29, pp. 645-
215
667 (1998).
216
50. Kim, Y., Shin, J.H., and Kim, J. \Atomic force
217
microscopy probing for biomechanical characterization
218
of living cells", Biomedical Robotics and Biomechatronics,
219
2008. BioRob 2008. 2nd IEEE RAS and
220
EMBS International Conference on, IEEE, pp. 889-
221
894 (2008).
222
51. Cross, S.E., Jin, Y.-S., Rao, J., and Gimzewski, J.K.
223
\Nanomechanical analysis of cells from cancer patients",
224
Nature Nanotechnology, 2, pp. 780-783 (2007).
225
52. He, J.H. \A tutorial review on fractal spacetime and
226
fractional calculus", Int. J. Theor. Phys., 53(11), pp.
227
3698-3718 (2014).
228
53. Wang, K. and Liu, S. \A new solution procedure for
229
nonlinear fractional porous media equation based on a
230
new fractional derivative", Nonlinear Science Letters
231
A, 7, pp. 135-140 (2016).
232
54. Ayati, Z., Ansari Joubeni, F., and Ahmady, S. \Comparison
233
of optimal homotopy asymptotic method and
234
homotopy perturbation method for Telegraph equation",
235
Nonlinear Science Letters A, 7, pp. 99-108
236
55. Inoue, K., Tanikawa, T., and Arai, T. \Micromanipulation
237
system with a two-ngered micro-hand
238
and its potential application in bioscience", Journal of
239
Biotechnology, 133, pp. 219-224 (2008).
240
ORIGINAL_ARTICLE
Vibration boundary control of Timoshenko micro-cantilever using piezoelectric actuators
One of the methods of force/moment exertion to micro beams is utilizing piezoelectric actuators. In this paper the problem of vibration boundary control of a clamped-free Timoshenko micro-cantilever considering effects of the piezoelectric actuator to achieve asymptotic stability is addressed. To achieve this purpose, the dynamic equations of the beam actuated by a piezoelectric layer laminated on one side of the beam are extracted. The control law has been made to decay vibrations of the beam. This control law is achieved from the feedback of time derivatives of boundary states of the beam. The obtained control is applied in the form of voltage of the piezoelectric. To illustrate the impact of the proposed controller to the micro beam, the finite element method and Timoshenko beam element have been used and then the simulation has been performed. The simulation shows that not only does this control voltage decay the vibration of the beam, but also the mathematical proofs proposed in this article are precise and implementable.
https://scientiairanica.sharif.edu/article_4327_423a7a3059b34605fa9cd1f0cb18b78e.pdf
2018-04-01
711
720
10.24200/sci.2017.4327
Timoshenko micro beam
piezoelectric actuator
PDE model
boundary control
Amin
Mehrvarz
1
Department of Mechanical Engineering, Sharif University of Technology, Azadi Ave, Tehran, Iran
AUTHOR
Hassan
Salarieh
salarieh@sharif.edu
2
Department of Mechanical Engineering, Sharif University of Technology, Azadi Ave, Tehran, Iran
LEAD_AUTHOR
Aria
Alasty
aalasty@sharif.edu
3
Department of Mechanical Engineering, Sharif University of Technology, Azadi Ave, Tehran, Iran
AUTHOR
Ramin
Vatankhah
rvatankhah@mech.sharif.edu
4
School of Mechanical Engineering, Shiraz University, Shiraz, Iran
AUTHOR
References
1
1. Indermuhle, P., Schurmann, G., Racine, G., and De Rooij, N. \Atomic force microscopy using cantilevers with integrated tips and piezoelectric layers for actuation and detection", Journal of Micromechanics and Microengineering, 7(3), p. 218 (1997).
2
2. Maluf, N. and Williams, K., Introduction to Microelectromechanical
3
Systems Engineering, Artech House
4
3. Zhang, W., Meng, G., and Li, H. \Adaptive vibration
5
control of micro-cantilever beam with piezoelectric
6
actuator in MEMS", The International Journal of
7
Advanced Manufacturing Technology, 28(3-4), pp. 321-
8
327 (2006).
9
4. Gahlin, R. and Jacobson, S. \A novel method to map
10
and quantify wear on a micro-scale", Wear, 222(2),
11
pp. 93-102 (1998).
12
5. Garca, R., Calleja, M., and Perez-Murano, F. \Local
13
oxidation of silicon surfaces by dynamic force microscopy:
14
Nanofabrication and water bridge formation",
15
Applied Physics Letters, 72(18), pp. 2295-2297
16
6. Miyahara, K., Nagashima, N., Ohmura, T., and
17
Matsuoka, S. \Evaluation of mechanical properties
18
in nanometer scale using AFM-based nanoindentation
19
tester", Nanostructured Materials, 12(5), pp. 1049-
20
1052 (1999).
21
7. Furlani, E. \Simulation of grating light valves", in
22
Technical Proceeding of the 1998 International Conference
23
on Modeling and Simulation of Microsystems
24
8. Arik, M., Zurn, S., Bar-Cohen, A., Nam, Y., Markus,
25
D., and Polla, D. \Development of CAD model for
26
MEMS micropumps", in Technical Proceedings of the
27
1999 International Conference on Modeling and Simulation
28
of Microsystems (1999).
29
9. Bernstein, D., Guidotti, P., and Pelesko, J. \Mathematical
30
analysis of an electrostatically actuated MEMS
31
device", Proceedings of the Modeling and Simulation of
32
Microsystems MSM, pp. 489-492 (2000).
33
10. Liu, J., Mei, Y., Xia, R., and Zhu, W. \Large
34
displacement of a static bending nanowire with surface
35
eects", Physica E: Low-Dimensional Systems and
36
Nanostructures, 44(10), pp. 2050-2055 (2012).
37
11. Alhazza, K.A., Daqaq, M.F., Nayfeh, A.H., and
38
Inman, D.J. \Non-linear vibrations of parametrically
39
excited cantilever beams subjected to non-linear
40
A. Mehrvarz et al./Scientia Iranica, Transactions B: Mechanical Engineering 25 (2018) 711{720 719
41
delayed-feedback control", International Journal of
42
Non-Linear Mechanics, 43(8), pp. 801-812 (2008).
43
12. Zhao, D., Liu, J., and Wang, L. \Nonlinear free
44
vibration of a cantilever nanobeam with surface eects:
45
Semi-analytical solutions", International Journal of
46
Mechanical Sciences, 113, pp. 184-195 (2016).
47
13. McCarthy, B., Adams, G.G., McGruer, N.E., and Potter,
48
D. \A dynamic model, including contact bounce,
49
of an electrostatically actuated microswitch", Journal
50
of, Microelectromechanical Systems, 11(3), pp. 276-283
51
14. Jalili, N. and Laxminarayana, K. \A review of atomic
52
force microscopy imaging systems: application to
53
molecular metrology and biological sciences", Mechatronics,
54
14(8), pp. 907-945 (2004).
55
15. Krstic, M., Guo, B.-Z., Balogh, A., and Smyshlyaev,
56
A. \Control of a tip-force destabilized shear beam by
57
observer-based boundary feedback", SIAM Journal on
58
Control and Optimization, 47(2), pp. 553-574 (2008).
59
16. Shirazi, M.J., Salarieh, H., Alasty, A., and Shabani, R.
60
\Tip tracking control of a micro-cantilever Timoshenko
61
beam via piezoelectric actuator", Journal of Vibration
62
and Control, 19(10), pp. 1561-1574 (2013).
63
17. Canbolat, H., Dawson, D., Rahn, C., and Vedagarbha,
64
P. \Boundary control of a cantilevered
65
exible beam
66
with point-mass dynamics at the free end", Mechatronics,
67
8(2), pp. 163-186 (1998).
68
18. Dogan, M. and Morgul, O. \Boundary control of a rotating
69
shear beam with observer feedback", Journal of
70
Vibration and Control, 18(14), pp. 2257-2265 (2011).
71
19. Fard, M. and Sagatun, S. \Exponential stabilization of
72
a transversely vibrating beam via boundary control",
73
Journal of Sound and Vibration, 240(4), pp. 613-622
74
20. Sadek, I., Kucuk, I., Zeini, E., and Adali, S. \Optimal
75
boundary control of dynamics responses of piezo actuating
76
micro-beams", Applied Mathematical Modelling,
77
33(8), pp. 3343-3353 (2009).
78
21. Vatankhah, R., Naja, A., Salarieh, H., and Alasty, A.
79
\Asymptotic decay rate of non-classical strain gradient
80
Timoshenko micro-cantilevers by boundary feedback",
81
Journal of Mechanical Science and Technology, 28(2),
82
pp. 627-635 (2014).
83
22. He, W., Ge, S.S., How, B.V.E., Choo, Y.S., and Hong,
84
K.-S. \Robust adaptive boundary control of a
85
marine riser with vessel dynamics", Automatica, 47(4),
86
pp. 722-732 (2011).
87
23. Yang, K.-J., Hong, K.-S., and Matsuno, F. \Boundary
88
control of a translating tensioned beam with varying
89
speed", Mechatronics, IEEE/ASME Transactions on,
90
10(5), pp. 594-597 (2005).
91
24. Vatankhah, R., Naja, A., Salarieh, H., and Alasty,
92
A. \Boundary stabilization of non-classical micro-scale
93
beams", Applied Mathematical Modelling, 37(20), pp.
94
8709-8724 (2013).
95
25. Vatankhah, R., Naja, A., Salarieh, H., and Alasty,
96
A. \Exact boundary controllability of vibrating nonclassical
97
Euler-Bernoulli micro-scale beams", Journal
98
of Mathematical Analysis and Applications, 418(2),
99
pp. 985-997 (2014).
100
26. He, W., Ge, S.S., and Zhang, S. \Adaptive boundary
101
control of a
102
exible marine installation system", Automatica,
103
47(12), pp. 2728-2734 (2011).
104
27. How, B., Ge, S., and Choo, Y. \Active control of
105
marine risers", Journal of Sound and Vibration,
106
320(4), pp. 758-776 (2009).
107
28. Nguyen, T., Do, K.D., and Pan, J. \Boundary control
108
of coupled nonlinear three dimensional marine risers",
109
Journal of Marine Science and Application, 12(1), pp.
110
72-88 (2013).
111
29. Paranjape, A.A., Guan, J., Chung, S.-J., and Krstic,
112
M. \PDE boundary control for
113
exible articulated
114
wings on a robotic aircraft", Robotics, IEEE Transactions
115
on, 29(3), pp. 625-640 (2013).
116
30. Han, S.M., Benaroya, H., and Wei, T. \Dynamics of
117
transversely vibrating beams using four engineering
118
theories", Journal of Sound and Vibration, 225(5), pp.
119
935-988 (1999).
120
31. Reddy, J.N., Applied Functional Analysis and Variational
121
Methods in Engineering, McGraw-Hill College
122
32. Robinson, J.C., Innite-Dimensional Dynamical Systems:
123
An Introduction to Dissipative Parabolic PDEs
124
and the Theory of Global Attractors, 28, Cambridge
125
University Press (2001).
126
33. Yosida, K., Functional Analysis, Springer (1980).
127
34. Pazy, A., Semigroups of Linear Operators and Applications
128
to Partial Dierential Equations, 44, Springer
129
New York (1983).
130
35. Guo, B.-Z. and Morgul, O., Stability and Stabilization
131
of Innite Dimensional Systems with Applications,
132
Springer Science & Business Media (1999).
133
36. Huebner, K.H., Dewhirst, D.L., Smith, D.E., and Byrom,
134
T.G., The Finite Element Method for Engineers,
135
John Wiley & Sons (2008).
136
37. Gad-el-Hak, M., MEMS: Introduction and Fundamentals,
137
CRC press (2005).
138
ORIGINAL_ARTICLE
Performance study of an innovative heating technique for a modified solar still
An experimental comparison of water productivity between a conventional single slope, solar still and a modified one is introduced in this work. The modified solar still is incorporated with a new heating technique on the saline water surface using finned cover with holes. These fins are used to increase the heat transfer area between the cover and saline water meanwhile, holes are used to allow evaporated water to go through. These experiments are held under the outdoor conditions of Tanta, Egypt. The performance of the two solar stills has been tested at a water depth of 0.05 m and a quantity of saline water of 50 L. The results indicated that the productivity of water per square meter per day for the modified design still is higher than the conventional still by about 30.6%.
https://scientiairanica.sharif.edu/article_4329_9cc6ad75cb5ccfd7bd10f196af5211cb.pdf
2018-04-01
721
727
10.24200/sci.2017.4329
solar still
desalination
solar energy
A.E.
Kabeel
1
Mechanical Power Engineering Dept., Faculty of Engineering, Tanta University, Egypt
AUTHOR
M.M.
Bassuoni
2
Mechanical Power Engineering Dept., Faculty of Engineering, Tanta University, Egypt
LEAD_AUTHOR
M.A.
Rozza
3
Mechanical Power Engineering Dept., Faculty of Engineering, Tanta University, Egypt
AUTHOR
References
1
1. Arunkumar, T., Jayaprakash, R., Denkenberger, D.,
2
Amimul Ahsan, Okundamiya, M.S., Sanjay Kumar,
3
Hiroshi Tanaka, Aybarg, H.S \An experimental study
4
on a hemispherical solar still", Desalination, 286, pp.
5
342-348 (2012).
6
2. Ahsan, A., Imteaz, M., Rahman, A., Yusuf, B., and
7
Fukuharad, T. \Design, fabrication and performance
8
analysis of an improved solar still", Desalination, 292,
9
pp. 105-112 (2012).
10
3. Rajamanickam, M. and Ragupathy, A. \In
11
water depth on internal heat and mass transfer in a
12
double slope solar still", Energy Procedia, 14, pp. 1701-
13
1708 (2012).
14
4. Panchal, H. and Shah, P.K. \Investigation on solar
15
stills having
16
oating plates", International Journal of
17
Energy and Environmental Engineering, 3(1), pp. 1-5
18
5. Omara, Z., Hamed, M.H. and Kabeel, A. \Performance
19
of nned and corrugated absorbers solar stills under
20
Egyptian conditions", Desalination, 277(1), pp. 281-
21
287 (2011).
22
6. Taamneh, Y. and Taamneh, M.M. \Performance of
23
pyramid-shaped solar still: Experimental study", Desalination,
24
291, pp. 65-68 (2012).
25
7. Abdul-Wahab, S.A. and Al-Hatmi, Y.Y. \Study of the
26
performance of the inverted solar still integrated with
27
a refrigeration cycle", Procedia Engineering, 33, pp.
28
424-434 (2012).
29
8. Dashtban, M. and Tabrizi, F.F. \Thermal analysis of
30
a weir-type cascade solar still integrated with PCM
31
storage", Desalination, 279(1), pp. 415-422 (2011).
32
9. Kabeel, A., Kabeel, A.E., Khalil, A., Omara, Z.M.,
33
and Younes, M.M. \Theoretical and experimental
34
parametric study of modied stepped solar still",
35
Desalination, 289, pp. 12-20 (2012).
36
10. Monowe, P., Masale, M., Nijegorodov, N., and
37
Vasilenko, V. \A portable single-basin solar still with
38
an external re
39
ecting booster and an outside condenser",
40
Desalination, 280(1), pp. 332-338 (2011).
41
11. Tanaka, H. \A theoretical analysis of basin type
42
solar still with
43
at plate external bottom re
44
Desalination, 279(1), pp. 243-251 (2011).
45
12. Tanaka, H. \Tilted wick solar still with
46
ector", Desalination, 273(2), pp. 405-413
47
13. Velmurugan, V., Gopalakrishnan, M., Raghu, R.,
48
and Srithar, K. \Single basin solar still with n
49
for enhancing productivity", Energy Conversion and
50
Management, 49(10), pp. 2602-2608 (2008).
51
14. El-Sebaii, A.A. and El-Naggar, M. \Year round performance
52
and cost analysis of a nned single basin solar
53
still", Applied Thermal Engineering, 110, pp. 787-794
54
A.E. Kabeel et al./Scientia Iranica, Transactions B: Mechanical Engineering 25 (2018)
55
ORIGINAL_ARTICLE
Free Vibration Analysis of Rotating Functionally Graded Annular Disc of Variable Thickness Using Generalized Differential Quadrature Method
In this paper, free vibration analysis of rotating annular disc made of functionally graded material (FGM) with variable thickness is presented. Elasticity modulus, density and thickness of the disc are assumed to vary radially according to a power low function. The natural frequencies and critical speeds of the rotating FG annular disc of variable thickness with two types of boundary conditions are obtained employing the numerical generalized differential quadrature method (GDQM). The boundary conditions considered in the analysis is the both edges clamped (C-C) and the inner edge clamped and the outer edge free (C-F).The influence of the graded index, thickness variation, geometric parameters and angular velocity on the dimensionless natural frequencies and critical speeds are demonstrated. It is shown that using a plate with a convergent thickness profile, we have a higher critical speed and natural frequency and using a divergent thickness profile, we can lower the critical speed. It is found that increase in the ratio of inner-outer radii could increase the critical speed of the FG annular disk. The results of the present work could improve the design of the rotating FG annular disk in order to avoid resonance condition
https://scientiairanica.sharif.edu/article_4325_d313774daf8501654bc29e2d6b681c1b.pdf
2018-04-01
728
740
10.24200/sci.2017.4325
Annular Plate
Functionally graded material
Generalized Differential Quadrature Method
natural frequency
Mohammad hadi
Jalali
1
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran
AUTHOR
Behrooz
Shahriari
2
Department of Mechanical and Aerospace Engineering,, Malek- Ashtar University of Technology, Isfahan, Iran
AUTHOR
Omid
Zargar
3
School of Mechanical Engineering, College of Engineering, University of Tehran
AUTHOR
Mostafa
Baghani
4
School of Mechanical Engineering, College of Engineering, University of Tehran
LEAD_AUTHOR
Majid
Baniassadi
5
School of Mechanical Engineering, College of Engineering, University of Tehran
AUTHOR
References
1
1. Sarra, A. and Mao, Z. \Statistical modeling of
2
wavelet-transform-based features in structural health
3
monitoring", In Model Validation and Uncertainty
4
Quantication, 3, Springer, pp. 253-262 (2016).
5
2. Poozesh, P., Baqersad, J., Niezrecki, C., Avitabile, P.,
6
Harvey, E., and Yarala, R. \Large-area photogrammetry
7
based testing of wind turbine blades", Mechanical
8
Systems and Signal Processing, 86, pp. 98-115 (2017).
9
3. Niezrecki, C., Poozesh, P., Aizawa, K., and Heilmann,
10
G. \Wind turbine blade health monitoring using acoustic
11
beamforming techniques", J. Acoust. Soc. Am.,
12
135, pp. 2392-2393 (2014).
13
4. Sadeghi, H., Baghani, M., and Naghdabadi, R. \Strain
14
gradient thermoelasticity of functionally graded cylinders",
15
Scientia Iranica, Transactions B, Mechanical
16
Engineering, 21, p. 1415 (2014).
17
5. Baghani, M. and Fereidoonnezhad, B. \Limit analysis
18
of FGM circular plates subjected to arbitrary rotational
19
symmetric loads using von-Mises yield criterion",
20
Acta Mechanica, 224, p. 1601 (2013).
21
6. Lamb, H. and Southwell, R. \The vibrations of a spinning
22
disk", Proceedings of the Royal Society of London
23
Series A, Containing Papers of a Mathematical and
24
Physical Character, 99, pp. 272-280 (1921).
25
7. Southwell, R. \On the free transverse vibrations of a
26
uniform circular disc clamped at its centre; and on the
27
eects of rotation", In Proceedings of the Royal Society
28
M.H. Jalali et al./Scientia Iranica, Transactions B: Mechanical Engineering 25 (2018) 728{740 739
29
of London A: Mathematical, Physical and Engineering
30
Sciences, The Royal Society, pp. 133-153 (1922).
31
8. Deshpande, M. and Mote, C. \In-plane vibrations
32
of a thin rotating disk", Journal of Vibration and
33
Acoustics, 125, pp. 68-72 (2003).
34
9. Bauer, H.F. and Eidel, W. \Transverse vibration
35
and stability of spinning circular plates of constant
36
thickness and dierent boundary conditions", Journal
37
of Sound and Vibration, 300, pp. 877-895 (2007).
38
10. Lee, H. and Ng, T. \Vibration and critical speeds of
39
a spinning annular disk of varying thickness", Journal
40
of Sound and Vibration, 187, pp. 39-50 (1995).
41
11. Singh, B. and Saxena, V. \Axisymmetric vibration of
42
a circular plate with exponential thickness variation",
43
Journal of Sound and Vibration, 192, pp. 35-42 (1996).
44
12. Taher, H.R.D., Omidi, M., Zadpoor, A., and Nikooyan,
45
A. \Free vibration of circular and annular plates with
46
variable thickness and dierent combinations of boundary
47
conditions", Journal of Sound and Vibration, 296,
48
pp. 1084-1092 (2006).
49
13. Davoodi Kermani, I., Mirdamadi, H., and Ghayour,
50
M. \Nonlinear stability analysis of rotational dynamics
51
and transversal vibrations of annular circular thin
52
plates functionally graded in radial direction by dierential
53
quadrature", Journal of Vibration and Control,
54
22, pp. 2482-2502 (2014).
55
14. Horgan, C. and Chan, A. \The stress response of
56
functionally graded isotropic linearly elastic rotating
57
disks", Journal of Elasticity, 55, pp. 219-230 (1999).
58
15. Nie, G. and Batra, R. \Stress analysis and material tailoring
59
in isotropic linear thermoelastic incompressible
60
functionally graded rotating disks of variable thickness",
61
Composite Structures, 92, pp. 720-729 (2010).
62
16. Mohammadsalehi, M., Zargar, O., and Baghani, M.
63
\Study of non-uniform viscoelastic nanoplates vibration
64
based on nonlocal rst-order shear deformation
65
theory", Meccanica, 52 , pp. 1063-1077 (2017).
66
17. Asghari, M. and Ghafoori, E. \A three-dimensional
67
elasticity solution for functionally graded rotating
68
disks", Composite Structures, 92, pp. 1092-1099
69
18. Peng, X.-L. and Li, X.-F. \Elastic analysis of rotating
70
functionally graded polar orthotropic disks", International
71
Journal of Mechanical Sciences, 60, pp. 84-91
72
19. Bahaloo, H., Papadopolus, J., Ghosh, R., Mahdi,
73
E., Vaziri, A., and Nayeb-Hashemi, H. \Transverse
74
vibration and stability of a functionally graded rotating
75
annular disk with a circumferential crack",
76
International Journal of Mechanical Sciences, 113, pp.
77
26-35 (2016).
78
20. Khorasany, R.M. and Hutton, S.G. \An analytical
79
study on the eect of rigid body translational degree of
80
freedom on the vibration characteristics of elastically
81
constrained rotating disks", International Journal of
82
Mechanical Sciences, 52, pp. 1186-1192 (2010).
83
21. Guven, U. and C elik, A. \On transverse vibrations of
84
functionally graded isotropic linearly elastic rotating
85
solid disks", Mechanics Research Communications, 28,
86
pp. 271-276 (2001).
87
22. Wu, T. and Liu, G. \A dierential quadrature as
88
a numerical method to solve dierential equations",
89
Computational Mechanics, 24, pp. 197-205 (1999).
90
23. Wu, T. and Liu, G. \The generalized dierential
91
quadrature rule for fourth-order dierential equations",
92
International Journal for Numerical Methods
93
in Engineering, 50, pp. 1907-1929 (2001).
94
24. Shahriari, B., Jalali, M., and Karamooz Ravari, M.
95
\Vibration analysis of a rotating variable thickness
96
bladed disk for aircraft gas turbine engine using generalized
97
dierential quadrature method", Proceedings
98
of the Institution of Mechanical Engineers, Part G:
99
Journal of Aerospace Engineering, 231, pp. 2739-2749
100
25. Irie, T., Yamada, G., and Kanda, R. \Free vibration of
101
rotating non-uniform discs: Spline interpolation technique
102
calculations", Journal of Sound and Vibration,
103
66, pp. 13-23 (1979).
104
26. Shu, C., Dierential Quadrature and Its Application
105
in Engineering, Springer Science & Business Media
106
ORIGINAL_ARTICLE
Impact of compliant walls on magnetohydrodynamics peristalsis of Jeffrey material in a curved configuration
Primary aim of current attempt is to analyze the peristaltic flow of non-Newtonian material in a curved channel subject to two salient features namely the Soret and Dufour and radial magnetic field. Channel walls are of compliant characteristics. Problem formulations for constitutive equations of Jeffrey fluid are made. Lubrication approach is implemented for the simplification of mathematical analysis. Dimensionless problems of stream function, temperature and concentration are computed numerically. Characteristics of distinct variables on the velocity, temperature, coefficient of heat transfer and concentration are examined. Besides this graphical results indicates that velocity profile enhances significantly for compliant wall parameters however due to the resistance characteristics of Lorentz force velocity profile decays. Furthermore it is noted that temperature profile enhances for larger Dufour number however reverse behavior is noticed in the concentration profile when Soret and Schmidt numbers are increased.
https://scientiairanica.sharif.edu/article_4322_020d58859294f42a5a32a0182412a9c8.pdf
2018-04-01
741
750
10.24200/sci.2017.4322
Jeffrey fluid
Radial magnetic field
Compliant wall conditions
Soret and Dufour effects
Curved channel
T.
Hayat
1
Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan
AUTHOR
S.
Farooq
2
Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan
LEAD_AUTHOR
B.
Ahmad
3
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
AUTHOR
References
1
1. Latham, T.W. Fluid Motion in a Peristaltic Pump,
2
MIT, Cambridge MA (1966).
3
2. Shapiro, A.H., Jarin, M.Y. and Weinberg, S.L. \Peristaltic
4
pumping with long wavelength at low Reynolds
5
number", J. Fluid Mech., 35, pp. 799-825 (1969).
6
3. Tripathi, D.A. \Mathematical model for swallowing of
7
food bolus through the esophagus under the in
8
of heat transfer", Int. J. Therm. Sci., 51, pp. 91-101
9
4. Mekheimer, Kh.S., Abd Elmaboud, Y. and Abdellateef,
10
A.I. \Particulate suspension
11
ow induced by sinusoidal
12
peristaltic waves through eccentric cylinders:
13
thread annular", Int. J. Biomath., 06, p. 1350026
14
5. Mustafa, M., Abbasbandy, S., Hina, S. and Hayat,
15
T. \Numerical investigation on mixed convective peristaltic
16
ow of fourth grade
17
uid with Dufour and Soret
18
eects", J. Taiwan Inst. Chem. Eng., 45, pp. 308-316
19
6. Mekheimer, Kh.S. and Abd elmaboud, Y. \Simultaneous
20
eects of variable viscosity and thermal
21
conductivity on peristaltic
22
ow in a vertical asymmetric
23
channel", Can. J. Phys., 92, pp. 1541-1555 (2014).
24
7. Gad, N.S. \Eects of hall currents on peristaltic
25
transport with compliant walls", Appl. Math. Comput.,
26
235, pp. 546-554 (2014).
27
8. Sinha , A., Shit, G.C. and Ranjit, N.K. \Peristaltic
28
transport of MHD
29
ow and heat transfer in an asymmetric
30
channel: Eects of variable viscosity, velocityslip
31
and temperature jump, Alexandria", Eng. J., 54,
32
pp. 691-704 (2015).
33
9. Ellahi, R. Bhatti, M.M. Riaz, A. and Sheikoleslami, M.
34
\The eect of magnetohydrodynamics on peristaltic
35
ow of Jerey
36
uid in a rectangular duct through a
37
porus medium", J. Porus Media., 17, pp. 1-20 (2014).
38
10. Awais, M., Farooq, S., Yasmin, H., Hayat, T. and
39
Alsaedi, A. \Convective heat transfer analysis for
40
MHD peristaltic
41
ow of Jerey
42
uid in an asymmetric
43
channel", Int. J. Biomath., 7, 1450023 (2014).
44
11. Kothandapani, M. and Srinivas, S. \Peristaltic transport
45
uid under the eect of magnetic eld
46
in an asymmetric channel", Int. J. non-Linear Mech.,
47
43, pp. 915-924 (2012).
48
T. Hayat et al./Scientia Iranica, Transactions B: Mechanical Engineering 25 (2018) 741{750 749
49
12. Hayat, T., Bibi, A., Yasmin, H. and Ahmad, B.
50
\Simultaneous eects of Hall current and homogeneous/
51
heterogeneous reactions on peristalsis", J. Taiwan
52
Inst. Chem. Eng., 58, pp. 28-38 (2016).
53
13. Asghar, S., Minhas, T. and Ali, A. \Existence of a
54
Hartmann layer in the peristalsis of Sisko
55
uid", Chin.
56
Phys. B., 23, pp. 054702-054707 (2014).
57
14. Hina, S., Mustafa, M., Hayat , T. and Alotaibi,
58
N.D. \On peristaltic motion of pseudoplastic
59
in a curved channel with heat/mass transfer an wall
60
properties", Appl. Math Comput., 263, pp. 378-391
61
15. Hayat, T., Hina, S., Hendi, A.A. and Asghar, S.
62
\Eects of wall properties on the peristaltic
63
a third grade
64
uid in a curved channel with heat and
65
mass transfer", Int. J. Heat Mass Transfer., 54, pp.
66
5126-5136 (2012).
67
16. Ali, N., Sajid, M., Abbas, Z. and Javed, T. \Non-
68
ow induced by peristaltic waves in
69
a curved channel", Eur. J. Mech. B/Fluids, 29, pp.
70
387-394 (2010).
71
17. Shehzad, S.A., Abbasi, F.M., Hayat, T., Alsaadi, F.
72
and Mousae, G. \Peristalsis in a curved channel with
73
slip condition and radial magnetic eld", Int. J. Heat
74
Mass Transfer., 91, pp. 562-569 (2015).
75
18. Vajravelua, K., Sreenadh, S. and Saravana, R. \Combined
76
uence of velocity slip, temperature and
77
concentration jump conditions on MHD peristaltic
78
transport of a Carreau
79
uid in a non-uniform channel",
80
Appl. Math. Comput., 225, pp. 656-676 (2013).
81
19. Hina, S., Mustafa, M. and Hayat, T. \On the exact
82
solution for peristaltic
83
ow of Couple-stress
84
wall properties, \Bulg. Chem. Commun"., 47, pp. 30-
85
37 (2015).
86
20. Abd-Alla, A.M. and Abo-Dahab, S.M. \Magnetic eld
87
and rotation eects on peristaltic transport of a Jerey
88
uid in an asymmetric channel", J. Mag. Mag. Mater.,
89
374, pp. 680-689 (2015).
90
21. Hayat, T., Bibi, S., Alsaadi, F. and Raq, M.,
91
\Peristaltic transport of Prandtl-Eyring liquid in a
92
convectively heated curved channel", PLoS One., 11,
93
e0156995 (2016).
94
22. Ellahi, R., Bhatti, M.M. and Pop, I. \Eects of hall
95
and ion slip on MHD peristaltic
96
ow of Jerey
97
in a non-uniform rectangular duct", Int. J. Numer.
98
Methods Heat Fluid Flow., 26, pp. 1802-1820 (2016).
99
23. Hayat, T., Farooq, S., and Alsaedi, A. \MHD peristaltic
100
ow in a curved channel with convective condition",
101
J. Mech, 33, pp. 483-499 (2017).
102
24. Khan, A.A., Muhammad, S., Ellahi, R. and Zia,
103
Q.M. Z. \Bionic study of variable viscosity on MHD
104
peristaltic
105
ow of pseudoplastic
106
uid in an asymmetric
107
channel", J. Mag., 21, pp. 273-280 (2016).
108
25. Ellahi, R. and Hussain, F. \Simultaneous eects of
109
MHD and partial slip on peristaltic
110
ow of Jeery
111
in a rectangular duct", J. Mag. Mag. Mater., 393, pp.
112
284-292 (2015).
113
26. Bhatti, M.M., Zeeshan, A. and Ellahi, R. \Endoscope
114
analysis on peristaltic blood
115
ow of Sisko
116
uid with titanium magneto-nanoparticles", Computers
117
Bio. Med., 78, pp. 29-41 (2016).
118
27. Ellahi, R., Rahman, S.U., Nadeem, S. and Vafai, K.
119
\The blood
120
ow of Prandtl
121
uid through a tapered
122
stenosed arteries in permeable walls with magnetic
123
eld", Communi. Theor. Phy., 63, pp. 353-358 (2015).
124
28. Awais, M., Hayat, T., Nawaz, M. and Alsaedi, A.
125
\Newtonian heating, thermal-diusion and diusionthermo
126
eects in an axisymmetric
127
ow of a Jeery
128
over a stretching surface", Braz. J. Chem. Eng., 32,
129
pp. 555-561 (2015).
130
29. Hayat, T., Farooq, S., Ahmad, B. and Alsaedi, A.
131
\Eectiveness of entropy generation and energy transfer
132
on peristaltic
133
ow of Jerey material with Darcy
134
resistance", Int. J. Heat Mass Transfer., 106, pp. 244-
135
252 (2017).
136
30. Ali, N. Sajid, M. and Hayat, T. \Long wavelength
137
ow analysis in a curved channel", Zeitschrift fur
138
Naturforschung A. 65, pp. 191-196 (2010).
139
31. Srivastava, L.M. and Srivastava, V.P. \Peristaltic
140
transport of a power law
141
uid: Applications to the
142
ductus eerentes of the reproductive tract", Rheol.
143
Acta., 27, pp. 428-433 (1988).
144
32. Lew, S.H., Fung, Y.C. and Lowenstein, C.B. \Peristaltic
145
carrying and mixing of chyme", J. Biomech., 4,
146
pp. 297-315 (1971).
147
ORIGINAL_ARTICLE
Numerical Investigation of Back Pressure and Free-stream Effects on a Mixed Compression Inlet Performance
Inlet Performance has an important role in the operation of air-breathing propulsion systems. In this study, performance of a supersonic axisymmetric mixed-compression inlet in the supercritical operating condition is numerically studied. The effects of free-stream Mach number and engine-face pressure on performance parameters, including mass flow ratio, drag coefficient, total pressure recovery, and flow distortion are investigated. To this sake, a multi-block density-based finite volume CFD code is developed and Reynolds-averaged Navier-Stokes equations with Spalart-Allmaras one-equation turbulence model is employed. The code is validated by comparing numerical results against other computational results and experimental data for two test cases of inviscid flow in a two-dimensional mixed-compression inlet and flow in an external compression inlet. Finally, the code is utilized for investigation of a specific supersonic mixed-compression inlet with the design Mach number of 2.0 and length to diameter ratio of 3.4. Results revealed that the increment of free-stream Mach number leads to decrease in total pressure recovery and drag coefficient, while mass flow ratio and flow distortion increase. The effects of engine-face pressure on performance parameters showed that by increasing the engine-face pressure, mass flow ratio and drag coefficient remain constant while total pressure recovery increases and flow distortion decreases.
https://scientiairanica.sharif.edu/article_4324_1983d81437c83828a366d050b60df003.pdf
2018-04-01
751
761
10.24200/sci.2017.4324
Mixed Compression Inlet
Performance Parameters
Multi-block Grid
Spalart-Allmaras Turbulence Model
Roe’s approximated Riemann solver
Abbas
Ebrahimi
ebrahimi_a@sharif.ir
1
Department of Aerospace Engineering, Sharif University of Technology, Tehran, Iran
LEAD_AUTHOR
Majid
Zare Chavoshi
2
Department of Aerospace Engineering, Sharif University of Technology, Tehran, Iran
AUTHOR
References
1
1. Mattingly, J.D., Heiser, W.H., and Pratt, D.T., Aircraft
2
Engine Design, New York: American Institute of
3
Aeronautics and Astronautics (2002).
4
2. Xie, L. and Guo, R. \Investigation of a twodimensional
5
mixed-compression hypersonic inlet",
6
Hangkong Xuebao/Acta Aeronautica et Astronautica
7
Sinica, 30(12), pp. 2288-2294 (2009).
8
3. Apyan, A.C., Orkwis, P.D., Turner, M.G., Duncan, S.,
9
Benek, J., and Tinnaple, J. \Mixed compression inlet
10
simulations with aspiration", in 50th AIAA Aerospace
11
Sciences Meeting Including the New Horizons Forum
12
and Aerospace Exposition, Nashville, TN (2012).
13
4. Vaynshtein, A. and Arieli, R. \Start/Un-start process
14
for a sudden opening of a mixed compression inlet
15
system of a ramjet engine", in 54th Israel Annual
16
Conference on Aerospace Sciences, IACAS 2014, Tel-
17
Aviv and Haifa, pp. 899-920 (2014).
18
5. Yongzhao, L., Qiushi, L., and Shaobin, L. \Modeling
19
the eect of stability bleed on back-pressure in mixedcompression
20
supersonic inlets", Journal of Fluids Engineering,
21
Transactions of the ASME, 137(12), 121101
22
6. Qiushi, L., Yongzhao, L., and Shaobin, L. \A quasi
23
one-dimensional bleed
24
ow rate model for terminal
25
760 A. Ebrahimi and M. Zare Chavoshi/Scientia Iranica, Transactions B: Mechanical Engineering 25 (2018) 751{761
26
normal shock stability in mixed compression supersonic
27
inlet", Proceedings of the Institution of Mechanical
28
Engineers, Part C: Journal of Mechanical
29
Engineering Science, 228(14), pp. 2569-2583 (2014).
30
7. Chyu, W.J., Kawamura, T., and Bencze, D.P. \Calculation
31
of external-internal
32
ow elds for mixedcompression
33
inlets", Computer Methods in Applied
34
Mechanics and Engineering, 64(1-3), pp. 21-37 (1987).
35
8. Chan, J.-J. and Liang, S.-M. \Numerical investigation
36
of supersonic mixed-compression inlet using an implicit
37
upwind scheme", Journal of Propulsion and Power,
38
8(1), pp. 158-167 (1992).
39
9. Akira, F. and Nobuo, N. \Experimental and numerical
40
investigation of Mach 2.5 supersonic mixed compression
41
inlet", in 31st Aerospace Sciences Meeting, Reno,
42
NV, U.S.A. (1993).
43
10. Mizukami, M. and Saunders, J. \Parametrics on 2D
44
Navier-Stokes analysis of a Mach 2.68 bifurcated rectangular
45
mixed-compression inlet", 31st Joint Propulsion
46
Conference and Exhibit, American Institute of
47
Aeronautics and Astronautics (1995).
48
11. Jain, M.K. and Mittal, S. \Euler
49
ow in a supersonic
50
mixed-compression inlet", International Journal for
51
Numerical Methods in Fluids, 50(12), pp. 1405-1423
52
12. Akbarzadeh, M. and Kermani, M. \Numerical simulations
53
of inviscid air
54
ows in ramjet inlets", Transactions
55
of the Canadian Society for Mechanical Engineering,
56
33(2), pp. 271-296 (2009).
57
13. Kwak, E. Lee, H., and Lee, S. \Numerical simulation
58
ows around axisymmetric inlet with bleed regions",
59
Journal of Mechanical Science and Technology, 24(12),
60
pp. 2487-2495 (2011).
61
14. Kotteda, V.M.K. and Mittal, S. \Viscous
62
mixed compression intake", International Journal for
63
Numerical Methods in Fluids, 67(11), pp. 1393-1417
64
15. Zhao, H., Xie, L.R., Guo, R.W., Tneg, Y.L., and
65
Zhang, J. \Study of start/unstart phenomenon of
66
supersonic inlet in acceleration/deceleration process",
67
Hangkong Dongli Xuebao/Journal of Aerospace Power,
68
30(8), pp. 1841-1852 (2015).
69
16. Kotteda, V.M.K. and Mittal, S. \Computation of
70
ow in a mixed compression intake", International
71
Journal of Advances in Engineering Sciences
72
and Applied Mathematics, 6(3), pp. 126-141 (2015).
73
17. Ebrahimi, A. and Zare Chavoshi, M. \Eect of free
74
stream Mach number on a mixed compression inlet
75
performance", Modares Mechanical Engineering,
76
16(7), pp. 275-284, (2016). (in Persian)
77
18. Suzen, Y.B. \Numerical computation of compressible,
78
turbulent high-Speed
79
ows", 9900518 Thesis, Wichita
80
State University, Ann Arbor (1998).
81
19. Blazek, J. \Turbulence modelling", in: Computational
82
Fluid Dynamics: Principles and Applications, Chapter
83
7, 2nd Edn., pp. 227-270, Oxford: Elsevier Science
84
20. Spalart, P.R. and Allmaras, S.R. \A one-equation turbulence
85
model for aerodynamic
86
ows", 30th Aerospace
87
Sciences Meeting and Exhibit, Reno, NV, U.S.A.
88
21. Slater, J.W. \Verication assessment of
89
ow boundary
90
conditions for CFD analysis of supersonic inlet
91
NASA TM 2012-211790, National Aeronautics and
92
Space Administration, Glenn Research Center (2002).
93
22. Kim, H., Kumano, T., Liou, M.S., Povinelli, L.A.,
94
and Conners, T.R. \Flow simulation of supersonic inlet
95
with bypass annular duct", Journal of Propulsion and
96
Power, 27(1), pp. 29-39 (2011).
97
23. Kwak, E. and Lee, S. \Numerical study of the eect
98
of exit congurations on supersonic inlet buzz", 31st
99
AIAA Applied Aerodynamics Conference, San Diego,
100
CA (2013).
101
24. Allmaras, S.R. and Johnson, F.T. \Modications and
102
clarications for the implementation of the Spalart-
103
Allmaras turbulence model", In Seventh International
104
Conference on Computational Fluid Dynamics (ICCFD7),
105
Big Island, Havaii, pp. 1-11 (2012).
106
25. Roe, P.L. \Approximate Riemann solvers, parameter
107
vectors, and dierence schemes", Journal of Computational
108
Physics, 43(2), pp. 357-372 (1981).
109
26. Van Leer, B. \Towards the ultimate conservative
110
dierence scheme", Journal of Computational Physics,
111
135(2), pp. 229-248 (1997).
112
27. Anderson, W.E. and Wong, N.D. \Experimental investigation
113
of a large scale, two-dimensional, mixedcompression
114
inlet system-performance at design conditions,
115
M = 3.0", NASA TM X-2016 (1970).
116
28. Soltani, M.R. and Farahani, M. \Eects of angle
117
of attack on inlet buzz", Journal of Propulsion and
118
Power, 28(4), pp. 747-757 (2011).
119
29. Soltani, M.R., Farahani, M., and Sepahi Younsi,
120
J. \Performance study of a supersonic inlet in the
121
presence of a heat source", Scientia Iranica, 18(3), pp.
122
375-382 (2011).
123
30. Soltani, M., Sepahi Younsi, J., and Daliri, A. \Performance
124
investigation of a supersonic air intake in the
125
presence of the boundary layer suction", Proceedings
126
of the Institution of Mechanical Engineers, Part G:
127
Journal of Aerospace Engineering (2014).
128
31. Soltani, M.R., Younsi, J.S., Farahani, M., and Masoud,
129
A. \Numerical simulation and parametric study of a
130
A. Ebrahimi and M. Zare Chavoshi/Scientia Iranica, Transactions B: Mechanical Engineering 25 (2018) 751{761 761
131
supersonic intake", Proceedings of the Institution of
132
Mechanical Engineers, Part G: Journal of Aerospace
133
Engineering, 227(3), pp. 467-479 (2012).
134
ORIGINAL_ARTICLE
Effects of in-situ formed TiB whiskers on microstructure and mechanical properties of spark plasma sintered Ti–B4C and Ti–TiB2 composites
Monolithic titanium, Ti–1 wt% B4C, Ti–2.5 wt% TiB2 were spark plasma sintered at 1050 ºC for 5 min under 50 MPa. The effect of B4C and TiB2 additions on densification process, microstructural development and mechanical properties of titanium was investigated. The results revealed that relative density of undoped, B4C- and TiB2-doped Ti samples reached ~98-99%. X-ray diffraction patterns, thermodynamic assessments, and microstructural investigations verified the in-situ formation of TiB whiskers in both composite samples as well as appearance of TiC spheres in Ti–B4C composite. However, trace unreacted TiB2 and B4C additives were remained in the composites as a result of incomplete chemical reactions due to short-time SPS process. Compared to undoped Ti sample, grain growth was hindered when the sample was doped by B4C or TiB2. Elongation, ultimate tensile strength and Vickers hardness of B4C- or TiB2-doped samples were higher than those of monolithic titanium but bending strength of ceramic-doped samples significantly lower, compared to undoped titanium. These outcomes were discussed in detail and related to presence/formation of several ceramic phases with different morphologies in Ti matrix.
https://scientiairanica.sharif.edu/article_4499_5b904bef8b63842096469abfd8299389.pdf
2018-04-01
762
771
10.24200/sci.2017.4499
Spark plasma sintering
titanium
Ceramic additives
TiB whisker
microstructure
mechanical properties
Abbas
Sabahi Namini
1
Department of Materials Engineering, Sahand University of Technology, Tabriz, Iran
AUTHOR
Maziyar
Azadbeh
2
Department of Materials Engineering, Sahand University of Technology, Tabriz, Iran
AUTHOR
Mehdi
Shahedi Asl
3
Department of Mechanical Engineering, University of Mohaghegh Ardabili, Ardabil, Iran
LEAD_AUTHOR
References
1
1. Zhang, Z.H., Liu, Z.F., Lu, J.F., Shen, X.B., Wang,
2
F.C., and Wang, Y.D. \The sintering mechanism in
3
spark plasma sintering - Proof of the occurrence of
4
spark discharge", Scr. Mater., 81, pp. 56-59 (2014).
5
2. Kumar, M.S., Chandrasekar, P., Chandramohan, P.,
6
and Mohanraj, M. \Characterisation of titaniumtitanium
7
boride composites processed by powder metallurgy
8
techniques", Mater. Charact., 73, pp. 43-51
9
3. Borkar, T., Nag, S., Ren, Y., Tiley, J., and Banerjee,
10
R. \Reactive spark plasma sintering (SPS) of
11
nitride reinforced titanium alloy composites", J. Alloys
12
Compd., 617, pp. 933-945 (2014).
13
4. Ji, L., Chen, B., Li, S.F., Imai, H., Takahashi, M., and
14
Kondoh, K. \Stability of strengthening eect of in situ
15
formed TiCp and TiBw on the elevated temperature
16
strength of (TiCp + TiBw)/Ti composites", J. Alloys
17
Compd., 614, pp. 29-34 (2014).
18
5. Chaudhari, R. and Bauri, R. \Reaction mechanism,
19
microstructure and properties of Ti-TiB in situ composite
20
processed by spark plasma sintering", Mater.
21
Sci. Eng., A, 587, pp. 161-167 (2013).
22
6. Zhang, Z.H., Shen, X.B., Wen, S., Luo, J., Lee, S.K.,
23
and Wang, F.C. \In situ reaction synthesis of Ti-TiB
24
composites containing high volume fraction of TiB by
25
spark plasma sintering process", J. Alloys Compd.,
26
503, pp. 145-150 (2010).
27
7. Shen, X., Zhang, Z., Wei, S., Wang, F., and Lee, S.
28
\Microstructures and mechanical properties of the in
29
situ TiB-Ti metal-matrix composites synthesized by
30
spark plasma sintering process", J. Alloys Compd.,
31
509, pp. 7692-7696 (2011).
32
8. Feng, H., Jia, D., and Zhou, Y. \Spark plasma
33
sintering reaction synthesized TiB reinforced titanium
34
matrix composites", Composites: Part A, 36, pp. 558-
35
563 (2005).
36
9. Morsi, K., Patel, V.V., Naraghi, S. and Garay, J.E.
37
\Processing of titanium-titanium boride dual matrix
38
composites", J. Mater. Process. Technol., 196, pp.
39
236-342 (2008).
40
10. Feng, H.B., Zhou, Y., Jia, D.C., and Meng, Q.C.
41
\Microstructure and mechanical properties of in situ
42
TiB reinforced Titanium matrix composites based
43
on Ti-FeMo-B prepared by spark plasma sintering",
44
Compos. Sci. Technol., 64, pp. 2495-2500 (2004).
45
11. Zhang, C., Kong, F., Xiao, S., Niu, H., Xu, L., and
46
Chen, Y. \Evolution of microstructural characteristic
47
and tensile properties during preparation of TiB/Ti
48
composite sheet", Mater. Des., 36, pp. 505-510 (2012).
49
12. Tjong, S.C. and Mai, Y.W. \Processing-structureproperty
50
aspects of particulate- and whisker-reinforced
51
titanium matrix composites", Compos. Sci. Technol.,
52
68, pp. 560-583 (2008).
53
13. Morsi, K. and Patel, V.V. \Processing and properties
54
of titanium-titanium boride (TiBw) matrix
55
composites{a review", J. Mater. Sci., 42, pp. 2037-
56
2047 (2007).
57
14. Wang, M.M., Lu, W.J., Qin, J.N., Ma, F.C., Lu,
58
J.Q., and Zhang, D. \Eect of volume fraction of
59
reinforcement on room temperature tensile property
60
of in situ (TiB+TiC)/Ti matrix composites", Mater.
61
Des., 27, pp. 494-498 (2006).
62
15. Huang, L.J., Geng, L., Li, A.B., Yang, F.Y., and Peng,
63
H.X. \In situ TiBw/Ti-6Al-4V composites with novel
64
reinforcement architecture fabricated by reaction hot
65
pressing", Scr. Mater., 60, pp. 996-999 (2009).
66
16. Boehlert, C.J., Tamirisakandala, S., Curtin, W.A.,
67
and Miracle, D.B. \Assessment of in situ TiB whisker
68
tensile strength and optimization of TiB-reinforced
69
titanium alloy", Scr. Mater., 61, pp. 245-248 (2009).
70
17. Sung, S.Y., Choi, B.J., and Kim, Y.J. \Evaluation the
71
properties of titanium matrix composites by melting
72
route synthesis", J. Mater. Sci. Technol, 24, pp. 105-
73
109 (2008).
74
18. Abkowitz, S., Abkowitz, S.M., Fisher, H., and
75
Schwartz, P.J. \CermeTi discontinuously reinforced
76
Ti-matrix composites: manufacturing, properties, and
77
applications", JOM, 56, pp. 37-41 (2004).
78
19. Tjong, S.C. and Ma, Z.Y. \Microstructural and mechanical
79
characteristics of in situ metal matrix composites",
80
Mater. Sci. Eng., R, 29, pp. 49-113 (2000).
81
20. Shufeng, L.I., Kondoh, K., Imai, H., Chen, B., Jia, L.,
82
and Umeda, J. \Microstructure and mechanical properties
83
of P/M titanium matrix composites reinforced
84
by in-situ synthesized TiC-TiB", Mater. Sci. Eng., A,
85
628, pp. 75-83 (2015).
86
21. Wei, S., Zhang, Z.H., Wang, F.C., Shen, X.B., Cai,
87
H.N., Lee, S.K., and Wang, L. \Eect of Ti content
88
and sintering temperature on the microstructures and
89
mechanical properties of TiB reinforced titanium composites
90
synthesized by SPS process", Mater. Sci. Eng.,
91
A, 560, pp. 249-255 (2013).
92
22. Tabrizi, S.G., Sajjadi, S.A., Babakhani, A., and Lu, W.
93
uence of spark plasma sintering and subsequent
94
hot rolling on microstructure and
95
exural behavior of
96
in-situ TiB and TiC reinforced Ti6Al4V composite",
97
Mater. Sci. Eng., A, 624, pp. 271-278 (2015).
98
A. Sabahi Namini et al./Scientia Iranica, Transactions B: Mechanical Engineering 25 (2018) 762{771 771
99
23. Zhang, C.J., Kong, F.T., Xiao, S.L., Zhao, E.T., Xu,
100
L.J., and Chen, Y.Y. \Evolution of microstructure and
101
tensile properties of in situ titanium matrix composites
102
with volume fraction of (TiB + TiC) reinforcements",
103
Mater. Sci. Eng., A, 548, pp. 152-160 (2012).
104
24. Shen, X., Zhang, Z., Wei, S., Wang, F., and Lee, S.
105
\Microstructures and mechanical properties of the in
106
situ TiB-Ti metal-matrix composites synthesized by
107
spark plasma sintering process", J. Alloys Compd.,
108
509, pp. 7692-7696 (2011).
109
25. Patel, V.V., El-Desouky, A., Garay, J.E., and Morsi,
110
K. \Pressure-less and current-activated pressureassisted
111
sintering of titanium dual matrix composites:
112
Eect of reinforcement particle size", Mater. Sci. Eng.,
113
A, 507, pp. 161-166 (2009).
114
26. Zhang, C.J., Kong, F.T., Xu, L.J., Zhao, E.T., Xiao,
115
S.L., Chen, Y.Y., Deng, N.J., Geb, W., and Xu, G.J.
116
\Temperature dependence of tensile properties and
117
fracture behavior of as rolled TiB/Ti composite sheet",
118
Mater. Sci. Eng., A, 556, pp. 962-969 (2012).
119
27. Yan, Z., Chen, F., Cai, Y., and Zheng, Y. \Microstructure
120
and mechanical properties of in-situ synthesized
121
TiB whiskers reinforced titanium matrix composites by
122
high-velocity compaction", Powder Technol., 267, pp.
123
309-314 (2014).
124
28. Shahedi Asl, M., Sabahi Namini, A., and Ghassemi
125
Kakroudi, M. \In
126
uence of silicon carbide reinforcement
127
on the microstructural development of hot
128
pressed zirconium and titanium diborides", Ceram.
129
Int., 42, pp. 5375-5381 (2016).
130
29. Sabahi Namini, A., Seyed Gogani, S.N., Shahedi Asl,
131
M., Farhadi, K., Ghassemi Kakroudi, M., and Mohammadzadeh,
132
A. \Microstructural development and
133
mechanical properties of hot pressed SiC reinforced
134
TiB2 based composite", Int. J. Refract. Met. Hard
135
Mater., 51, pp. 169-179 (2015).
136
30. Huang, L.J., Geng, L., Peng, H.X., Balasubramaniam,
137
K., and Wang, G.S. \Eects of sintering parameters
138
on the microstructure and tensile properties of in
139
situ TiBw/Ti6Al4V composites with a novel network
140
architecture", Mater. Des., 32, pp. 3347-3353 (2011).
141
31. Huang, L.J., Geng, L., Wang, B., and Wu, L.Z.
142
\Eects of volume fraction on the microstructure and
143
tensile properties of in situ TiBw/Ti6Al4V composites
144
with novel network microstructure", Mater. Des., 45,
145
pp. 532-538 (2013).
146
32. Huang, L.J., Geng, L., Peng, H.X., and Zhang, J.
147
\Room temperature tensile fracture characteristics
148
of in situ TiBw/Ti6Al4V composites with a quasicontinuous
149
network architecture", Scr. Mater., 64, pp.
150
844-847 (2011).
151
33. Huang, L.J., Geng, L., Wang, B., Xu, H.Y., and
152
Kaveendran, B. \Eects of extrusion and heat treatment
153
on the microstructure and tensile properties
154
of in situ TiBw/Ti6Al4V composite with a network
155
architecture", Composites Part A, 43, pp. 486-491
156
34. Zhang, C.J., Kong, F.T., Xiao, S.L., Zhao, E.T., Xu,
157
L.J., and Chen, Y.Y. \Evolution of microstructure and
158
tensile properties of in situ titanium matrix composites
159
with volume fraction of (TiB + TiC) reinforcements",
160
Mater. Sci. Eng., A, 548, pp. 152- 160 (2012).
161
35. Wei, S., Zhang, Z.H., Wang, F.C., Shen, X.B., Cai,
162
H.N., Lee, S.K., and Wang, L. \Eect of Ti content
163
and sintering temperature on the microstructures and
164
mechanical properties of TiB reinforced titanium composites
165
synthesized by SPS process", Mater. Sci. Eng.,
166
A, 560, pp. 249-255 (2013).
167
36. Li, B.S., Shang, J.L., Guo, J.J., and Fu, H.Z. \In situ
168
observation of fracture behavior of in situ TiBw/Ti
169
composites", Mater. Sci. Eng., A, 383, pp. 316-322
170
ORIGINAL_ARTICLE
A Design Approach for Coaxial Magnetic Gear and Determination of Torque Capability
This paper presents a time saving methodology for design and sizing the magnetic gear sets. Some new design parameters similar to mechanical gears are defined to calculate the torque capacity based on these. Finite element analysis is extensively used to calculate the variation of gear set torque capacity due to changes in different geometric parameters of a set. Different design curves are obtained by which the design and sizing of the gears can routinely be accomplished. Optimal performance of magnetic gear wasn’t the main target of this research and just this method helps gear designers to decide on parameters such as scale of gears, magnet thickness, stack length and pole pair numbers and come up with a close to optimum geometry design
https://scientiairanica.sharif.edu/article_4326_eb3343c6465695b855ee628db9f43427.pdf
2018-04-01
772
789
10.24200/sci.2017.4326
Magnetic gear
Mechanical gear
Design parameter
Torque capacity
Gear module
Mohammad Amin
Rahimi
1
Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran
AUTHOR
Mohammad
Durali
durali@sharif.ir
2
Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran
LEAD_AUTHOR
Mohsen
Asghari
3
Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran
AUTHOR
References
1
1. Atallah, K. and Howe, D. \A novel high-performance
2
magnetic gear", IEEE Transactions on Magnetics, 37,
3
pp. 2844-2846 (2001).
4
2. Atallah, K., Wang, J., and Howe, D. \A highperformance
5
linear magnetic gear", Journal of Applied
6
Physics, 97, pp. 1-3 (2005).
7
3. Joergensen, F.T., Andersen, T.O., and Rasmussen,
8
P.O. \The cycloid permanent magnetic gear", In Conference
9
Record - IAS Annual Meeting (IEEE Industry
10
Applications Society), Tampa, FL, pp. 373-378 (2006).
11
4. Mezani, S., Atallah, K., and Howe, D. \A highperformance
12
axial-eld magnetic gear", Journal of
13
Applied Physics 99, 08R303, pp. 1-3 (2006).
14
5. Rens, J., Atallah, K., Calverley, S.D., and Howe,
15
D. \A novel magnetic harmonic gear", In Proceedings
16
of IEEE International Electric Machines and
17
Drives Conference, IEMDC 2007, Antalya, pp. 698-
18
703 (2007).
19
6. Man, Y., Zhao, Y., Bian, C., Wang, S., and Zhao,
20
H. \A kind of magnetic gear with high speed ratio",
21
In Proceedings-3rd International Conference on Information
22
Sciences and Interaction Sciences, ICIS 2010,
23
Chengdu, pp. 632-634 (2010).
24
7. Jian, L.N., Chau, K.T., Dong, Z., Jiang, J.Z., and
25
Zheng, W. \A magnetic-geared outer-rotor permanentmagnet
26
brushless machine for wind power generation",
27
In Industry Applications Conference, 2007. 42nd IAS
28
Annual Meeting. Conference Record of the 2007 IEEE,
29
pp. 573-580 (2007).
30
8. Chau, K.T., Zhang, D., Jiang, J.Z., Liu, C., and
31
Zhang, Y. \Design of a magnetic-geared outer-rotor
32
permanent-magnet brushless motor for electric vehicles",
33
IEEE Transactions on Magnetics, 43, pp. 2504-
34
2506 (2007).
35
9. Jian, L., Xu, G., Wu, Y., Cheng, Z., and Song, J.
36
\A novel power-train using coaxial magnetic gear for
37
power-split hybrid electric vehicles", In 2011 InternaM.
38
A. Rahimi et al./Scientia Iranica, Transactions B: Mechanical Engineering 25 (2018) 772{789 783
39
tional Conference on Electrical Machines and Systems,
40
ICEMS 2011, Beijing (2011).
41
10. Atallah, K., Calverley, S.D., and Howe, D. \Design,
42
analysis and realisation of a high-performance magnetic
43
gear", IEE Proceedings: Electric Power Applications,
44
151, pp. 135-143 (2004).
45
11. Rasmussen, P.O., Mortensen, H.H., Matzen, T.N.,
46
Jahns, T.M., and Toliyat, H.A. \Motor integrated
47
permanent magnet gear with a wide torque-speed
48
range", In 2009 IEEE Energy Conversion Congress
49
and Exposition, ECCE 2009, San Jose, CA, pp. 1510-
50
1518 (2009).
51
12. Evans, D.J. and Zhu, Z.Q. \In
52
uence of design parameters
53
on magnetic gear's torque capability", In
54
2011 IEEE International Electric Machines and Drives
55
Conference, IEMDC 2011, Niagara Falls, ON, pp.
56
1403-1408 (2011).
57
13. Gerber, S. and Wang, R.J. \Evaluation of a prototype
58
magnetic gear", In Industrial Technology (ICIT), 2013
59
IEEE International Conference on, pp. 319-324 (2013).
60
14. Dudley, D., Chief Editor, Gear Handbook, Ed.,
61
McGraw-Hill Book Co (1962).
62
15. Jorgensen, F.T., Andersen, T.O., and Rasmussen, P.O.
63
\Two dimensional model of a permanent magnet spur
64
gear-A mathematical method used to model a parallel
65
magnetised magnetic spur gear", In Conference Record
66
- IAS Annual Meeting (IEEE Industry Applications
67
Society), Kowloon, Hong Kong, pp. 261-265 (2005).
68
16. Li, Y., Xing, J.W., Lu, Y.P., and Yin, Z.J. \Torque
69
analysis of a novel non-contact permanent variable
70
transmission", IEEE Transactions on Magnetics, 47,
71
pp. 4465-4468 (2011).
72
17. Shah, L., Cruden, A., and Williams, B.W. \A magnetic
73
gear box for application with a contra-rotating
74
tidal turbine", In Proceedings of the International
75
Conference on Power Electronics and Drive Systems,
76
Bangkok, pp. 989-993 (2007).
77
18. Jian, L., Chau, K.T., Gong, Y., Jiang, J.Z., Yu,
78
C., and Li, W. \Comparison of coaxial magnetic
79
gears with dierent topologies", IEEE Transactions on
80
Magnetics, 45, pp. 4526-4529 (2009).
81
19. Li, X., Chau, K.T., Cheng, M., Hua, W., and Du, Y.
82
\An improved coaxial magnetic gear using
83
ux focusing",
84
In 2011 International Conference on Electrical
85
Machines and Systems, ICEMS 2011, Beijing (2011).
86
20. Fukuoka, M., Nakamura, K., and Ichinokura, O. \A
87
method for optimizing the design of SPM type magnetic
88
gear based on reluctance network analysis", In
89
Electrical Machines (ICEM), 2012 XXth International
90
Conference on, pp. 30-35 (2012).
91
ORIGINAL_ARTICLE
Stability of Thixotropic Fluids in Pipe Flow
Linear stability of a thixotropic fluid obeying the Moore model is investigated in pipe flow using a temporal stability analysis in which infinitesimally-small perturbations, represented by normal modes, are superimposed on the base flow and their evolution in time is monitored in order to detect the onset of instability. An eigenvalue problem is obtained which is solved numerically using the pseudo-spectral Chebyshev-based collocation method. The neutral instability curve is plotted as a function of the thixotropy number of the Moore model. Based on the results obtained in this work, it is concluded that the thixotropic behavior of the Moore fluid has a destabilizing effect on pipe flow
https://scientiairanica.sharif.edu/article_4498_0959d26e217a0b0a2e7c1385117857c0.pdf
2018-04-01
790
798
10.24200/sci.2017.4498
Linear stability
thixotropic fluid
Moore model
spectral method
pipe flow
M.H.
Nahavandian
1
Center of Excellence in Design and Optimization of Energy Systems (CEDOES), School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
AUTHOR
M.
Pourjafar
2
Center of Excellence in Design and Optimization of Energy Systems (CEDOES), School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
AUTHOR
K.
Sadeghy
3
Center of Excellence in Design and Optimization of Energy Systems (CEDOES), School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
LEAD_AUTHOR
References
1
1. Mewis, J. \Thixotropy-a general review", Int. J. of Non-Newt. Fluid Mech., 6, pp. 1-20 (1979).
2
2. Barnes, H.A. \Thixotropy-a review", Int. J. of Non- Newt. Fluid Mech., 70(1-2), pp. 1-33 (1997).
3
3. Mewis, J. and Wagner, N.J. \Thixotropy", Adv. Colloid and Interface Sci, 147/148, pp. 214-227 (2009).
4
4. Chandrasekhar, S., Hydrodynamic and Hydromagnetic
5
Stability, Oxford University Press, London (1961).
6
5. Drazin, P.G. and Reid, W.H., Hydrodynamic Stability,
7
2nd edition. Camb. Univ. Press, Cambridge (2004).
8
6. Pearson, J.R.A. and Tardy, P.M.J. \Models for
9
of non-Newtonian and complex
10
uids through porous
11
media", Int. J. of Non-Newt. Fluid Mech., 102, pp.
12
447-473 (2002).
13
7. Ebrahimi, B., Taghavi, S.M., and Sadeghy, K. \Twophase
14
viscous ngering of immiscible thixotropic
15
A numerical study", Int. J. of Non-Newt. Fluid Mech.,
16
218, pp. 40-52 (2015).
17
8. Pourjafar, M., Chaparian, E., and Sadeghy, K.
18
\Taylor-Couette instability of thixotropic
19
uids", Meccanica,
20
50, pp. 1451-1465 (2015).
21
9. Wygnanski, I. and Champagne, F. \On transition in
22
a pipe. Part 1. The origin of pus and slugs and the
23
ow in a turbulent slug", J. of Fluid Mechanics, 59,
24
pp. 281-335 (1973).
25
10. Leite, R.J. \An experimental investigation of the
26
stability of Poiseuille
27
ow", J. of Fluid Mechanics, 5,
28
pp. 81-96 (1959).
29
11. Eliahou, S., Tumin, A., and Wygnanski, I. \Laminarturbulent
30
transition in Poiseuille pipe
31
ow subjected
32
to periodic perturbation emanating from the wall", J.
33
of Fluid Mechanics, 361, pp. 333-349 (1998).
34
12. Darbyshire, A. and Mullin, T. \Transition to turbulence
35
in constant-mass-
36
ow", J. of Fluid
37
Mechanics, 289, pp. 83-114 (1995).
38
13. Garg , V. and Rouleau, W. \Linear spatial stability of
39
pipe Poiseuille
40
ow", J. of Fluid Mechanics, 54, pp.
41
113-127 (1972).
42
14. Stuart, J. \Instability and transition in pipes and channels",
43
Transition and Turbulence, pp. 77-94 (1981).
44
15. Zikanov, O.Y. \On the instability of pipe poiseuille
45
ow", Physics of Fluids (1994-present), 8, pp. 2923-
46
2932 (1996).
47
16. Guzel, B., Frigaard, I., and Martinez, D. \Predicting
48
laminar-turbulent transition in Poiseuille pipe
49
non-Newtonian
50
uids", Chemical Engineering Science,
51
64, pp. 254-264 (2009).
52
17. Nouar, C. and Frigaard, I. \Nonlinear stability of
53
Poiseuille
54
ow of a Bingham
55
uid: theoretical results
56
and comparison with phenomenological criteria", Int.
57
J. of Non-Newt. Fluid Mech., 100, pp. 127-149 (2001).
58
18. Frigaard, I., Howison, S., and Sobey, I. \On the
59
stability of Poiseuille
60
ow of a Bingham
61
uid", J. of
62
Fluid Mechanics, 263, pp. 133-150 (1994).
63
19. Frigaard, I. \On the stability of shear
64
ows of suspensions",
65
7th International Congress on Rheology,
66
August 3-8, Monterey, California (2008).
67
20. Macosko, C.W., Rheology: Principles, Measurements
68
and Applications, 1st edition, Wiley VCH (1994).
69
21. Moore, F. \The rheology of ceramic slips and bodies",
70
Trans. Br. Ceram. Soc., 58, p. 470 (1959).
71
22. Cheng, D.C.H. and Evans, F. \Phenomenological characterization
72
of the rheological behavior of inelastic
73
reversible thixotropic and antithixotropic
74
uids", Br.
75
J. Appl. Phys., 16(11), pp. 1599-1617 (1965).
76
23. Billingham, J. and Ferguson, J.W.J. \Laminar, unidirectional
77
flow of a thixotropic
78
uid in a circular pipe",
79
Int. J. of Non-Newt. Fluid Mech., 47, pp. 21-55 (1993).
80
24. Nahavandian, M.H. \Instability of thixotropic
81
frluids in pipe flow", MSc Thesis, University of Tehran (2015).
82
25. Whittington, R. and Ashton, E. \Instability in pipe flow", Nature, 162, pp. 997-998 (1948).
83
ORIGINAL_ARTICLE
An explicit solution for the size-dependent large amplitude transverse vibration of thin functionally graded micro-plates
In this article, an analytical solution to the moderately large amplitude transverse vibration of thin functionally graded micro-plates (FGMPs) is presented based on a practical approach. The size-dependent nonlinear governing equation is obtained in conjunction with the Kirchhoff’s plate and modified couple stress theories. The material properties of functionally graded (FG) micro-plates are varied according to the Reddy’s model. The employed non-classical theory contains one material length scale parameter to capture the size effects. The highly nonlinear governing equation is solved by means of homotopy analysis method to obtain accurate analytic approximations. The both of simply supported and clamped micro-plates with immovable edges are considered. Comparison of the present results with earlier studies wherever possible confirms the reliability and effectiveness of the present formulation for the design purpose. Furthermore, the effects of different parameters such as material gradient index, length scale parameter, and aspect ratio on the nonlinear frequency ratio are investigated.
https://scientiairanica.sharif.edu/article_4331_4be8337673387b60940880c08300d50b.pdf
2018-04-01
799
812
10.24200/sci.2017.4331
Functionally graded micro-plates
Nonlinear vibration
Homotopy analysis method
modified couple stress theory
Size effects
A.R.
Setoodeh
1
Department of Mechanical and Aerospace Engineering, Shiraz University of Technology, Shiraz 71555, Iran
LEAD_AUTHOR
M.
Rezaei
2
Department of Mechanical and Aerospace Engineering, Shiraz University of Technology, Shiraz 71555, Iran
AUTHOR
References
1
1. Witvrouw, A., and Mehta, A. The use of functionally graded poly-SiGe layers for MEMS applications", In Materials Science Forum. Trans. Tech. Publ., 492, pp. 255-260 (2005).
2
2. Lam, D.C.C., Yang, F., Chong, A.C.M., Wang, J., and Tong, P. Experiments and theory in strain gradient elasticity", Journal of the Mechanics and Physics of Solids, 51, pp. 1477-1508 (2003).
3
3. Malekzadeh, P. and Shojaee, M. A two-variable rstorder
4
shear deformation theory coupled with surface
5
and nonlocal eects for free vibration of nanoplates",
6
Journal of Vibration and Control, 21, pp. 2755-2772
7
4. Setoodeh, A.R., Rezaei, M., and Zendehdel Shahri,
8
M.R. Linear and nonlinear torsional free vibration
9
of functionally graded micro/nano-tubes based on
10
modied couple stress theory", Applied Mathematics
11
and Mechanics (English Edition), 37, pp. 1-16 (2016).
12
5. Peng, X.W., Guo, X.M., Liu, L., and Wu, B.J. Scale
13
eects on nonlocal buckling analysis of bilayer composite
14
plates under non-uniform uniaxial loads", Applied
15
Mathematics and Mechanics (English Edition), 36, pp.
16
1-10 (2015).
17
6. Akgoz, B. and Civalek, O. A size-dependent shear
18
deformation beam model based on the strain gradient
19
elasticity theory", International Journal of Engineering
20
Science, 70, pp. 1-14 (2013).
21
7. Ma, H.M., Gao, X.L., and Reddy, J.N. A non-classical
22
Mindlin plate model based on a modied couple stress
23
theory", Acta Mechanica, 220, pp. 217-235 (2011).
24
8. Gholami, R. and Ansari, R. A most general strain
25
gradient plate formulation for size-dependent geometrically
26
nonlinear free vibration analysis of functionally
27
graded shear deformable rectangular microplates",
28
Nonlinear Dynamics, 84, pp. 2403-2422 (2016).
29
9. Akgoz, B. and Civalek, O. A new trigonometric beam
30
model for buckling of strain gradient microbeams",
31
International Journal of Mechanical Sciences, 81, pp.
32
88-94 (2014).
33
10. Akgoz, B. and Civalek, O. Bending analysis of FG
34
microbeams resting on Winkler elastic foundation via
35
strain gradient elasticity", Composite Structures, 134,
36
pp. 294-301 (2015).
37
11. Akgoz, B. and Civalek, O. microstructure-dependent
38
sinusoidal plate model based on the strain gradient
39
elasticity theory", Acta Mechanica, 226, pp. 2277-2294
40
12. Akgoz, B. and Civalek, O. A novel microstructuredependent
41
shear deformable beam model", International
42
Journal of Mechanical Sciences, 99, pp. 10-20
43
13. Li, A., Zhou, S., Zhou, S., and Wang, B.A. Sizedependent
44
model for bi-layered Kirchho micro-plate
45
based on strain gradient elasticity theory", Composite
46
Structures, 113, pp. 272-280 (2014).
47
14. Toupin, R.A. Elastic materials with couple-stresses",
48
Archive for Rational Mechanics and Analysis, 11, pp.
49
385-414 (1962).
50
15. Mindlin, R.D. and Tiersten, H.F. Eects of couplestresses
51
in linear elasticity", Archive for Rational
52
Mechanics and Analysis, 11, pp. 415-448 (1962).
53
16. Yang, F., Chong, A.C.M., Lam, D.C.C., and Tong, P.
54
Couple stress based strain gradient theory for elasticity",
55
International Journal of Solids and Structures,
56
39, pp. 2731-2743 (2002).
57
17. Jomehzadeh, E., Noori, H.R., and Saidi, A.R. The
58
size-dependent vibration analysis of micro-plates based
59
on a modied couple stress theory", Physica E: Low-
60
Dimensional Systems and Nanostructures, 43, pp. 877-
61
883 (2011).
62
18. Askari, A.R. and Tahani, M. Analytical determination
63
of size-dependent natural frequencies of fully
64
clamped rectangular microplates based on the modied
65
couple stress theory", Journal of Mechanical Science
66
and Technology, 29, pp. 2135-2145 (2015).
67
19. Yin, L., Qian, Q., Wang, L., and Xia, W. Vibration
68
analysis of microscale plates based on modied couple
69
stress theory", Acta Mechanica Solida Sinica, 23, pp.
70
386-393 (2010).
71
20. Asghari, M. Geometrically nonlinear micro-plate formulation
72
based on the modied couple stress theory",
73
International Journal of Engineering Science, 51, pp.
74
292-309 (2012).
75
21. Gao, X.L, Huang, J.X, and Reddy, J.N. A nonclassical
76
third-order shear deformation plate model
77
based on a modied couple stress theory", Acta Mechanica,
78
224, pp. 2699-2718 (2013).
79
22. Tsiatas, G.C. A new Kirchho plate model based on
80
a modied couple stress theory", International Journal
81
of Solids and Structures, 46, pp. 2757-2764 (2009).
82
23. Shenas, A.G., Malekzadeh, P., and Mohebpour, S.
83
Vibrational behavior of variable section functionally
84
graded microbeams carrying microparticles in thermal
85
environment", Thin-Walled Structures, 108, pp. 122-
86
137 (2016).
87
24. Shenas, A.G., Ziaee, S., and Malekzadeh, P. Vibrational
88
behavior of rotating pre-twisted functionally
89
graded microbeams in thermal environment", Composite
90
Structures, 157, pp. 222-235 (2016).
91
25. Setoodeh, A.R. and Rezaei, M. Large amplitude free
92
vibration analysis of functionally graded nano/micro
93
beams on nonlinear elastic foundation", Structural
94
Engineering and Mechanics, 61, pp. 209-220 (2017).
95
A.R. Setoodeh and M. Rezaei/Scientia Iranica, Transactions B: Mechanical Engineering 25 (2018) 799{812 811
96
26. Ke, L.L. and Wang, Y.S. Size eect on dynamic
97
stability of functionally graded microbeams based on a
98
modied couple stress theory", Composite Structures,
99
93, pp. 342-350 (2011).
100
27. Setoodeh, A.R. and Afrahim, S. Nonlinear dynamic
101
analysis of FG micro-pipes conveying
102
uid based on
103
strain gradient theory", Composite Structures, 116,
104
pp. 128-135 (2014).
105
28. Thai, H.T. and Kim, S.E. A size-dependent functionally
106
graded Reddy plate model based on a modied
107
couple stress theory", Composites Part B: Engineering,
108
45, pp. 1636-1645 (2013).
109
29. Thai, H.T. and Choi, D.H. Size-dependent functionally
110
graded Kirchho and Mindlin plate models
111
based on a modied couple stress theory", Composite
112
Structures, 95, pp. 142-153 (2012).
113
30. Thai, H.T. and Vo, T.P. A size-dependent functionally
114
graded sinusoidal plate model based on a modied
115
couple stress theory", Composite Structures, 96, pp.
116
376-383 (2013).
117
31. Ke, L.L., Yang, J., Kitipornchai, S., Bradford, M.A.,
118
and Wang, Y.S. Axisymmetric nonlinear free vibration
119
of size-dependent functionally graded annular
120
microplates", Composites Part B: Engineering, 53, pp.
121
207-217 (2013).
122
32. Ansari, R., Shojaei, M.F., Mohammadi, V., Gholami,
123
R., and Darabi, M.A. Nonlinear vibrations of
124
functionally graded Mindlin microplates based on the
125
modied couple stress theory", Composite Structures,
126
114, pp. 124-134 (2014).
127
33. Lou, J. and He, L. Closed-form solutions for nonlinear
128
bending and free vibration of functionally graded microplates
129
based on the modied couple stress theory",
130
Composite Structures, 131, pp. 810-820 (2015).
131
34. Mohammadimehr, M. and Mohandes, M. The eect
132
of modied couple stress theory on buckling and vibration
133
analysis of functionally graded double-layer Boron
134
Nitride piezoelectric plate based on CPT", Journal of
135
Solid Mechanics, 7, pp. 281-298 (2015).
136
35. He, L., Lou, J., Zhang, E., Wang, Y., and Bai,
137
Y.A. Size-dependent four variable rened plate model
138
for functionally graded microplates based on modied
139
couple stress theory", Composite Structures, 130, pp.
140
107-115 (2015).
141
36. Shenas, A.G. and Malekzadeh, P. Free vibration
142
of functionally graded quadrilateral microplates in
143
thermal environment", Thin-Walled Structures, 106,
144
pp. 294-315 (2016).
145
37. Roozbahani, M.M., Heydarzadeh Arani, N., Moghimi
146
Zand, M., and Mousavi Mashhadi, M. Analytical
147
solutions to nonlinear oscillations of a microbeam using
148
higher order beam theory", Scientia Iranica, 23(5), pp.
149
2179-2193 (2016).
150
38. Sedighi, H.M., Shirazi, K.H., and Zare, J. An analytic
151
solution of transversal oscillation of quintic non-linear
152
beam with homotopy analysis method", International
153
Journal of Non-Linear Mechanics, 47, pp. 777-784
154
39. Alipour, A., Zand, M.M., and Daneshpajooh, H.
155
Analytical solution to nonlinear behavior of electrostatically
156
actuated nanobeams incorporating van der
157
Waals and Casimir forces", Scientia Iranica, 22(3), pp.
158
1322-1329 (2015).
159
40. Liao, S.J. Advances in the homotopy analysis
160
method", World Scientic, New York (2013).
161
41. Rao, G.V., Raju, I.S., and Raju, K.K. A nite
162
element formulation for large amplitude
163
exural vibrations
164
of thin rectangular plates", Computers &
165
Structures, 6, pp. 163-167 (1976).
166
42. Ventsel, E. and Krauthammer, T. Thin plates and
167
shells: theory: analysis, and applications", CRC Press,
168
New York (2001).
169
43. Mindlin, R.D. In
170
uence of rotary inertia and shear on
171
exural motions of isotropic elastic plates", Journal of
172
Applied Mechanics, 18(1), pp. 31-38 (1951).
173
44. Christoforou, A.P. and Swanson, S.R. Analysis of
174
simply-supported orthotropic cylindrical shells subject
175
to lateral impact loads", Journal of Applied Mechanics,
176
57(2), pp. 376-382 (1990).
177
45. Rao, S.S., Vibration of Continuous Systems, John
178
Wiley & Sons, New Jersey (2007).
179
46. Liao, S.J., Beyond Perturbation: Introduction to Homotopy
180
Analysis Method, CRC press, Boca Raton
181
47. Han, W. and Petyt, M. Geometrically nonlinear
182
vibration analysis of thin, rectangular plates using
183
the hierarchical nite element method 2014 I: the
184
fundamental mode of isotropic plates", Computers &
185
Structures, 63, pp. 295-308 (1997).
186
48. Sundararajan, N., Prakash, T., and Ganapathi, M.
187
Nonlinear free
188
exural vibrations of functionally
189
graded rectangular and skew plates under thermal environments",
190
Finite Elements in Analysis and Design,
191
42, pp. 152-168 (2005).
192
ORIGINAL_ARTICLE
RPT Finite Element Formulation for Linear Dynamic Analysis of orthotropic Plates
This paper presents finite element formulation for dynamic analysis of orthotropic plates using two-variable refined plate theory (RPT). Hamilton's principle is employed to obtain the governing equations and the semi-discrete approach is utilized for solving the equations. After constructing spatial weak form equations, a 4-node rectangular plate element with six degrees of freedom (DOFs) per node is introduced for discretization of the domain. An unconditionally stable implicit Newmark scheme is used for temporal discretization. A MATLAB code with capability of modeling both static and dynamic plate problems with various boundary conditions is generated. Several numerical problems are solved and the obtained displacements and stresses are compared with the existing results in the literature. The results demonstrate the accuracy, simplicity and efficiency of present method in dynamic analysis of plate problems.
https://scientiairanica.sharif.edu/article_4330_c13bf68d05e7b4707652a6813470ddfb.pdf
2018-04-01
813
823
10.24200/sci.2017.4330
Orthotropic
Finite Element Method
Dynamic analysis
Two-variable refined plate theory
Rectangular plate element
Jafar
Rouzegar
rouzegar@sutech.ac.ir
1
Department of Mechanical and Aerospace Engineering, Shiraz University of Technology, Shiraz, P.O. Box-71555-313, Iran.
LEAD_AUTHOR
Mohammad
Sayedain
2
Department of Mechanical and Aerospace Engineering, Shiraz University of Technology, Shiraz, P.O. Box-71555-313, Iran.
AUTHOR
References
1
1. Kirchho, G. Equilibrium and motion of an elastic disc [ AUber das gleichgewicht und die bewegung einer elastischen scheibe", J. ReineAngew. Math., 1859(40), pp. 51-88 (1850).
2
2. Reissner, E. The eect of transverse shear deformation on the bending of elastic plates", J. Appl. Mech., 12(2), pp. 69-77 (1945).
3
3. Mindlin, R.D. In fluence of rotary inertia and shear on flexural motions of isotropic elastic plates", J. Appl.
4
Mech., 18(1), pp. 31-38 (1951).
5
4. Whitney, J.M. and Sun, C.T. A higher order theory
6
for extensional motion of laminated composites",
7
Sound Vib., 30(1), pp. 85-97 (1973).
8
5. Hanna, N.F. and Leissa, A.W. A higher order shear
9
deformation theory for the vibration of thick plates",
10
Sound Vib., 170(4), pp. 545-555 (1994).
11
6. Reddy, J.N. A simple higher-order theory for laminated
12
composite plates", ASME. J. Appl. Mech.,
13
51(4), pp. 745-752 (1984).
14
7. Reddy, J.N. and Phan, N.D. Stability and vibration of
15
isotropic, orthotropic and laminated plates according
16
to a higher-order shear deformation theory", Sound
17
Vib., 98(2), pp. 157-170 (1985).
18
8. Bhimaraddi, A. and Stevens, L.K. A higher order
19
theory for free vibration of orthotropic, homogeneous,
20
and laminated rectangular plates", J. Appl. Mech.,
21
51(1), pp. 195-198 (1984).
22
9. Kant, T. Numerical analysis of thick plates", Comput.
23
Methods Appl. Mech. Eng., 31(1), pp. 1-18 (1982).
24
10. Lo, K.H., Christensen, R.M., and Wu, E.M. A highorder
25
theory of plate deformation, Part 1: Homogeneous
26
plates", J. Appl. Mech., 44(4), pp. 663-668
27
11. Ghugal, Y.M. and Sayyad, A.S. A static
28
of thick isotropic plates using trigonometric shear
29
deformation theory", J. Solid. Mech., 2(1), pp. 79-90
30
12. El Meiche, N., Tounsi, A., Ziane, N., Mechab, I., and
31
Adda Bedia, E.A. A new hyperbolic shear deformation
32
theory for buckling and vibration of functionally
33
graded sandwich plate", Int. J. Mech. Sci., 53(4), pp.
34
237-247 (2011).
35
13. Shimpi, R.P. Rened plate theory and its variants",
36
AIAA J., 40(1), pp. 137-146 (2002).
37
14. Shimpi, R.P. and Patel H.G., A two variable rened
38
plate theory for orthotropic plate analysis", Int. J.
39
Solids Struct., 43(22-23), pp. 6783-6799 (2006).
40
15. Kim, S.E., Thai, H.T., and Lee, J. A two variable
41
rened plate theory for laminated composite plates",
42
Compos. Struct., 89(2), pp. 197-205 (2009).
43
16. Thai, H.T. and Kim, S.E. Analytical solution of a
44
two variable rened plate theory for bending analysis
45
of orthotropic Levy-type plates", Int. J. Mech. Sci.,
46
54(1), pp. 269-276 (2012).
47
17. Rouzegar, J. and Abdoli Sharifroor, R. Finite element
48
formulations for free vibration analysis of isotropic
49
and orthotropic plates using two-variable rened plate
50
theory", Sci. Iran., 23(4), pp. 1787-1799 (2016).
51
J. Rouzegar and M. Sayedain/Scientia Iranica, Transactions B: Mechanical Engineering 25 (2018) 813{823 823
52
18. Rouzegar, J. and Abdoli Sharifroor, R. Finite element
53
formulations for buckling analysis of isotropic
54
and orthotropic plates using two-variable rened plate
55
theory", Iran. J. Sci. Technol. -Trans. Mech. Eng.,
56
41(3), pp. 177-187 (2017).
57
19. Rouzegar, J. and Abad, F. Analysis of cross-ply
58
laminates with piezoelectric ber-reinforced composite
59
actuators using four-variable rened plate theory", J.
60
Theor. Appl. Mech., 53(2), pp. 439-452 (2015).
61
20. Rouzegar, J. and Abad, F. Free vibration analysis of
62
FG plate with piezoelectric layers using four-variable
63
rened plate theory", Thin Wall. Struct., 89(1), pp.
64
76-83 (2015).
65
21. Rouzegar, J. and Gholami, M. Non linear bending
66
analysis of thick rectangular plates by four-variable Re-
67
ned plate theory and Dynamic Relaxation method",
68
Modares Mech. Eng., 15(2), pp. 221-230 (2015) (In
69
22. Nguyen-Xuan, H., Tran, L.V., Thai, C.H., Kulasegaram,
70
S., and Bordas, S.P.A. Isogeometric analysis
71
of functionally graded plates using a rened plate
72
theory", Compos. Part B-Eng., 64, pp. 222-234 (2014).
73
23. Thai, C.H., Kulasegaram, S., Tran, L.V., and Nguyen-
74
Xuan, H. Generalized shear deformation theory for
75
functionally graded isotropic and sandwich plates
76
based on isogeometric approach", Comput. Struct.,
77
141, pp. 94-112 (2014).
78
24. Nguyen, K.D. and Nguyen-Xuan, H. An isogeometric
79
nite element approach for three-dimensional static
80
and dynamic analysis of FGM plates structures",
81
Compos. Struct., 132, pp. 423-439 (2015).
82
25. Nguyen, T.N., Thai, C.H., and Nguyen-Xuan, H. On
83
the general framework of high order shear deformation
84
theories for laminated composite plate structures: A
85
novel unied approach", Int. J. Mech. Sci., 110, pp.
86
242-255 (2016).
87
26. Nguyen, L.B., Thai, C.H., and Nguyen-Xuan, H.
88
A generalized unconstrained theory and isogeometric
89
nite element analysis based on Bezier extraction for
90
laminated composite plates", Eng. Comput., 32(3), pp.
91
457-475 (2016).
92
27. Patel, H. and Shimpi, R.P. A New Finite
93
Element for a Shear Deformable Plate", 47th
94
AIAA/ASME/ASCE/AHS/ASC Structures, Structural
95
Dynamics, and Materials Conference., Newport,
96
Rhode Island, USA (2006).
97
28. Katori, H. and Okada, T. Plate element based on a
98
higher-order shear deformation theory", Transactions
99
of the Japan Society of Mechanical Engineers Series A,
100
72(716), pp. 412-418 (2006).
101
29. Rouzegar, J. and Abdoli Sharifroor, R. A nite
102
element formulation for bending analysis of isotropic
103
and orthotropic plates based on two-variable rened
104
plate theory", Sci. Iran., 22(1), pp. 196-207 (2015).
105
30. Melosh, R.J. Structural analysis of solids", J. Struct.
106
Div. ASCE, 89(4), pp. 205-223 (1963).
107
31. Rouzegar, S.J. and Mirzaei, M. Modeling dynamic
108
fracture in Kirchho plates and shells using the extended
109
nite element method", Sci. Iran., 20(1), pp.
110
120-130 (2013).
111
32. Sheikh, A.H. and Mukhopadhyay, M. Linear and
112
nonlinear transient vibration analysis of stiened plate
113
structures", Finite Elem. Anal. Des., 38(14), pp. 477-
114
502 (2002).
115
33. Providakis, C.P. and Beskos, D.E. Free and forced
116
vibration of plates by boundary elements", Comput.
117
Methods Appl. Mech. Eng., 74(3), pp. 231-250 (1989).
118
34. Houlston, R. and Slater, J.E. A summary of experimental
119
results on square plate and stiened plates
120
subjected to air blast loading", Shock Vibr. Bull.,
121
2(57), pp. 14-16 (1986).
122
Biographies
123
Jafar Rouzegar is currently an Assistant Professor
124
at the Department of Mechanical and Aerospace Engineering
125
of Shiraz University of Technology, Iran. He
126
received his BSc degree in Mechanical Engineering
127
from Shiraz University, Iran in 2002. He also received
128
his MSc and PhD degrees in Mechanical Engineering
129
from Tarbiat Modares University, Iran in 2004 and
130
2010, respectively. His research interests include FEM
131
and XFEM, theories of plates and shells, and fracture
132
mechanics.
133
Mohammad Sayedain received his BSc in Mechanical
134
Engineering from Vali-e-Asr University, Rafsanjan,
135
Iran in 2013. He also received his MSc degree
136
in Mechanical Engineering from Shiraz University of
137
Technology, Iran in 2015. His research interests include
138
FEM, theories of plates and shells and composite
139
materials.
140
ORIGINAL_ARTICLE
Application of Ductile Fracture Criterion for Tensile Test of Zirconium Alloy 702
In this study using ductile fracture criterion defined fracture energy, determining the critical damage value of normalized Cockcroft –Latham. True stress-strain value and materials properties were obtained from the tensile tests of zirconium alloy 702 and finite element analysis. It was observed that specimen fracture the maximum value occurred in the central area of the cross section, the highest critical damage value equal to 0.649. In this paper, through the inverse analysis method of the FEA to explore on rarely research data zirconium alloys. The results proposed to evaluate the forgeability, expect the present study could be used as a basis of designing and developing zirconium alloy.
https://scientiairanica.sharif.edu/article_20174_2e88d7e4cf5e19975ae185cea263299f.pdf
2018-04-01
824
829
10.24200/sci.2018.20174
Normalized Cockcroft –Latham
Ductile fracture criterion
Zirconium alloy 702
Tensile test
Dyi-Cheng
Chen
1
Department of Industrial Education and Technology, National Changhua University of Education, Changhua 500, Taiwan, R.O.C.
LEAD_AUTHOR
Dong-Yao
Chang
2
Department of Industrial Education and Technology, National Changhua University of Education, Changhua 500, Taiwan, R.O.C.
AUTHOR
Fei-Hsiang
Chen
3
Department of Mechatronic Engineering, National Taiwan Normal University, Taipei , Taiwan, R.O.C.
AUTHOR
Tsung-Ying
Kuo
4
Department of Industrial Education and Technology, National Changhua University of Education, Changhua 500, Taiwan, R.O.C.
AUTHOR
References
1
1. Pereira, I.M., Rubi, M.G., and Acselrad, O. Comparison of the experimental and the numerically predicted mechanical damage in the sheet forming of steel", J. Mater. Process. Technol., 203(1-3), pp. 13-18 (2008).
2
2. Quan, G.Z., Tong, Y., and Chen, B. A constitutive description for drawing limit of magnesium alloy tube based on continuum damage mechanics", Mater. Sci.
3
Forum., 610-613, pp. 951-954 (2009).
4
D.-C. Chen et al./Scientia Iranica, Transactions B: Mechanical Engineering 25 (2018) 824{829 829
5
3. Komori, K. Eect of ductile fracture criteria on
6
chevron crack formation and evolution in drawing",
7
Int. J. of Mech. Sci., 45(1), pp. 141-160 (2003).
8
4. Hambli, R. and Reszka, M. Fracture criteria identi-
9
cation using an inverse technique method and blanking
10
experiment", Int. J. of Mech. Sci., 44(7), pp. 1349-
11
1361 (2002).
12
5. Dey, S., B?rvik, T. Hopperstad, O.S. and Langseth,
13
M. On the in
14
uence of fracture criterion in projectile
15
impact of steel plates", Comput. Mater. Sci., 38(1),
16
pp. 176-191 (2006).
17
6. Zhu, Q.J., He, Y.F. and Yin, Y. Finite element analysis
18
of deformation mechanism for porous materials under
19
uid-solid interaction", Mater. Res. Innovations.,
20
18, pp. 22-27 (2014).
21
7. Jia, S.F., Zhan, L.H., and Zhang, J. In
22
uence of solid
23
solution treatment on microstructure and mechanical
24
properties of 2219 aluminum alloy", Mater. Res. Innovations.,
25
18, pp. 52-58 (2014).
26
8. Chen, D.C. and You, C.S. Fracture criterion for
27
the tensile test of 7075 aluminum alloy", Strength of
28
Materials., 47(1), pp. 122-127 (2015).
29
9. Caoa, T.S., Bobadillab, C.P., Montmitonneta, P., and
30
Boucharda, P.O. A comparative study of three ductile
31
damage approaches for fracture prediction in cold
32
forming processes", J. Mater. Process. Technol., 216,
33
pp. 385-404 (2015).
34
10. Cho, H., Ngalle, G., and Altan, T. Simultaneous
35
determination of
36
ow stress and interface friction by
37
nite element based inverse analysis technique", CIRP
38
Annals - Manufacturing Technology, 52(1), pp. 221-
39
224 (2003).
40
11. Joun, M., Choi, I., Eom, J., and Lee, M. Finite
41
element analysis of tensile testing with emphasis on
42
necking", Comput. Mater. Sci., 41(1), pp. 63-69
43
12. Andrzej, G. and Jacek, P. Determining the normalized
44
Cockcroft-Latham criterion for titanium alloy
45
Ti6Al4V in tensile testing at room temperature",
46
Proceedings of the World Congress on Mechanical,
47
Chemical, and Material Engineering (MCM 2015),
48
Paper No. 248, Barcelona, Spain (2015).
49
13. Chen, C.C., Oh, S.I., and Kobayashi, S. Ductile fracture
50
in axisymmetric extrusion and drawing", Journal
51
of Engineering for Industry., 101, pp. 36-44 (1979).
52