References
1. Jones, R.M., Mechanics of Composite Materials, Taylor
and Francis Inc., Philadelphia (1999).
2. Vinson, J.R., The Behavior of Sandwich Structures of
Isotropic and Composite Materials, Technomic, Lancaster
(1999).
3. Bullock, R.E. Strength ratios of composite materials
in
exure and in tension", J. Compos. Mater., 8, pp.
200-206 (1974).
4. Whitney, J.M. and Knight, M. The relationship
between tensile strength and
exure strength in berreinforced
composites", Exp. Mech., 20(6), pp. 211-216
(1980).
5. Cattell, M.K. and Kibble, K.A. Determination of
the relationship between strength and test method
for glass bre epoxy composite coupons using Weibull
analysis", Mater. Des., 22, pp. 245-250 (2001).
6. Ullah, H., Harland, A.R., and Silberschmidt, V.V.
Experimental and numerical analysis of damage in
woven GFRP composites under large-de
ection bending",
Appl. Compos. Mater., 19, pp. 769-783 (2012).
7. Jones, R.M. Mechanics of composite materials with
di erent moduli in tension and compression", Final
Scienti c Report, Air force oce of scienti c research
(1978).
8. Zweben, C. Is there a size e ect in composite materials
and structures?", Composites, 25, pp. 451-454
(1994).
9. Smith, D.L., Wardle, M.W., and Zweben, C. Test
methods for ber tensile strength, composite
exural
modulus and properties of fabric-reinforced laminates",
In Composite Materials: Testing and Design
(Fifth Conference), ASTM STP 674, S.W. Tsai (ed.),
American Society for Testing and Materials, West
Conshohocken, PA, pp. 228-262 (1979).
10. Tolf, G. and Clarin, P. Comparison between
exural
and tensile modulus of bre composites", Fibre Sci.
Technol., 21, pp. 319-326 (1984).
11. Roopa, T.S., Narasimha-Murthy, H., Sudarshan, K.,
Nandagopan, O.R., Kumar, A., Krishna, M., and
Angadi, G. Mechanical properties of vinylester/glass
and polyester/glass composites fabricated by resin
transfer molding and hand lay-up", J. Vinyl Addit.
Techn., 2, pp. 32-45 (2014).
12. Standard test methods for
exural properties of unreinforced
and reinforced plastics and electrical insulating
materials", ASTM, Designation: D790-07 (2007).
13. Greif, R. and Chapon, E. Investigation of successive
failure modes in graphite/epoxy laminated composite
beams", J. Reinf. Plast. Comp., 12, pp. 602-621
(1993).
14. Kam, T.Y. and Sher, H.F. Nonlinear and rstply
failure analyses of laminated composite cross-ply
plates", J. Comp. Mater., 29, pp. 463-482 (1995).
15. Echaabi, J., Trochu, F., Pham, X.T., and Ouellet, M.
Theoretical and experimental investigation of failure
and damage progression of graphite-epoxy composites
in
exural bending test", J. Reinf. Plas. Comp., 15,
pp. 740-755 (1996).
16. Smith, P.A. and Ogin, S.L. On transverse matrix
cracking in cross-ply laminates loaded in simple
bending", Compos. Part A-Appl.s, 30, pp. 1003-1008
(1999).
17. Ochoa, O. and Reddy, J.N., Finite Element Analysis
of Composite Laminates, Kluwer Academic Publishers,
Dordrecht (1992).
18. Garnich, M.R. and Akula, V.M.K. Review of degradation
models for progressive failure analysis of ber
reinforced polymer composites", Appl. Mech. Rev., 62,
pp. 1-33 (2009).
19. Soden, P.D., Hinton, M.J., and Kaddour, A.S. A
comparison of the predictive capabilities of current
failure theories for composite laminates", Comp. Sci.
Technol., 58, pp. 1225-1254 (1998).
20. Hinton, M.J. and Soden, P.D. Predicting failure in
composite laminates: the background to the exercise",
Comp. Sci. Technol., 58, pp. 1001-1010 (1998).
2402 A.R. Nazari et al./Scientia Iranica, Transactions A: Civil Engineering 25 (2018) 2389{2403
21. Soden, P.D., Hinton, M.J., and Kaddour, A.S. Lamina
properties, lay-up con gurations and loading conditions
for a range of ber-reinforced composite laminates",
Comp. Sci. Technol., 58, pp. 1011-1022 (1998).
22. Farrokhabadi, A., Hosseini-Toudeshky H., and Mohammadi,
B. A generalized micromechanical approach
for the analysis of transverse crack and induced
delamination in composite laminates", Compos.
Struct., 93, pp. 443-455 (2011).
23. Sadeghi, G., Hosseini-Toudeshky, H., and Mohammadi,
B. An investigation of matrix cracking damage
evolution in composite laminates-Development of an
advanced numerical tool", Compos. Struct., 108, pp.
937-950 (2014).
24. Abisset, E., Daghia, F., and Ladeveze, P. On the
validation of a damage mesomodel for laminated composites
by means of open-hole tensile tests on quasiisotropic
laminates", Compos. Part A-Appl.s, 42, pp.
1515-1524 (2011).
25. Ladeveze, P. and Lubineau, G. An enhanced mesomodel
for laminates based on micromechanics", Compos.
Sci. Technol., 62, pp. 533-541 (2002).
26. Yokozeki, T., Aoki, Y., and Ogasawara, T. Experimental
characterization of strength and damage resistance
properties of thin-ply carbon ber/toughened
epoxy laminates", Compos. Struct., 82, pp. 382-389
(2008).
27. Yokozeki, T., Kuroda, A., Yoshimura, A., Ogasawara,
T., and Aoki, T. Damage characterization in thinply
composite laminates under out-of-plane transverse
loadings", Compos. Struct., 93, pp. 49-57 (2010).
28. Sathish, S., Prasath, J., Reddy, K.S., and Naik, N.K.
Damage evolution in delaminated woven fabric Eglass/
epoxy composite plates under transverse static
patch loading", Int. J. Damage Mech., 22(7), pp. 982-
1005 (2012).
29. Ellul, B., Camilleri, D., and Betts, J.C. A progressive
failure analysis applied to ber reinforced composite
plates subject to out-of-plane bending", Mech. Compos.
Mater., 49(6), pp. 605-620 (2014).
30. Iannucci, L. and Ankersen, J. An energy based damage
model for thin laminated composites", Compos.
Sci. Technol., 66, pp. 934-951 (2006).
31. Iannucci, L. and Willows, M.L. An energy based
damage mechanics approach to modeling impact onto
woven composite materials: Part II. Experimental and
numerical results", Compos. Part A-Appl.s, 38, pp.
540-554 (2007).
32. Doudican, B.M., Doudican, B.M., Zand, B., Amaya,
P., Butalia, T.S., Wolfe, W.E., and Schoeppner A.G.
Strain energy based failure criterion: comparison of
numerical predictions and experimental observations
for symmetric composite laminates subjected to triaxial
loading", J. Compos. Mater., 47(6-7), pp. 847-866
(2012).
33. McCartney, L.N. Energy-based prediction of progressive
ply cracking and strength of general symmetric
laminates using an homogenisation method", Compos.
Part A-Appl.s, 36, pp. 119-128 (2005).
34. McCartney, L.N. Energy-based prediction of failure
in general symmetric laminates", Eng. Fract. Mech.,
72, pp. 909-930 (2005).
35. Mines, R.A.W. and Alias, A. Numerical simulation
of the progressive collapse of polymer composite sandwich
beams under static loading", Compos. Part AAppl.
s, 33, pp. 11-26 (2002).
36. Irhirane, E.H., Echaabi, J., Aboussaleh, M., and
Hattabi, M. Matrix and bre sti ness degradation
of a quasi-isotrope graphite epoxy laminate under
exural bending test", J. Reinf. Plast. Comp., 28(2),
pp. 201-223 (2009).
37. Standard Test Method for Tensile Properties of Polymer
Matrix Composite Materials, ASTM, Designation:
D3039/D3039M-00 (2000).
38. Batra, R.C., Gopinath, G., and Zheng J.Q. Damage
and failure in low energy impact of ber-reinforced
polymeric composite laminates", Compos Struct., 94,
pp. 540-547 (2012).
39. ABAQUS/Analysis User's Manual, Version 6.10,
ABAQUS Inc. (2010).
40. Camanho, P.P. and Davila, C.G., Mixed-Mode Decohesion
Finite Elements for the Simulation of Delamination
in Composite Materials, NASA/TM-2002-211737
(2002).
41. Hashin, Z. On elastic behavior of bers reinforced
materials of arbitrary transverse phase geometry", J.
Mech. Phys. Solids, 13, pp. 119-134 (1965).
42. Hashin, Z. and Rotem, A. A fatigue criterion for berreinforced
materials", J. Compos. Mater., 7, pp. 448-
464 (1973).
43. Lapczyk, I. and Hurtado, J.A. Progressive damage
modeling in ber-reinforced materials", Compos. Part
A-Appl.s, 38, pp. 2333-2341 (2007).
44. Barbero, E.J., Cosso, F.A., Roman, R., and Weadon,
T.L. Determination of material parameters for abaqus
progressive damage analysis of E-glass epoxy laminates",
Compos. B-Eng., 46, pp. 211-220 (2013).
45. Maimi, P., Camanho, P.P., Mayugo, J.A., and Davila,
C.G. A continuum damage model for composite
laminates: Part I - constitutive model", Mech. Mater.,
39, pp. 897-908 (2007).
46. Bazant, Z.P. and Oh, B.H. Crack band theory for
fracture of concrete", Mater. Struct., 16, pp. 155-177
(1983).
47. Maimi, P., Camanho, P.P., Mayugo J.A., and Davila,
C.G. A thermodynamically consistent damage model
for advanced composites", NASA/TM-2006-214282
(2006).
48. Wisnom, M.R. and Atkinson, J.W. Reduction in
tensile and
exural strength of unidirectional glass
bre-epoxy with increasing specimen size", Compos.
Struct., 38(1-4), pp. 405-411 (1997).
A.R. Nazari et al./Scientia Iranica, Transactions A: Civil Engineering 25 (2018) 2389{2403 2403
49. Huang, Z.M. Progressive
exural failure analysis of
laminated composites with knitted fabric reinforcement",
Mech. Mater., 36, pp. 239-260 (2004).
50. Wisnom, M.R. The relationship between tensile and
exural strength of unidirectional composites", J.
Compos. Mater., 26, pp. 1173-1180 (1992).
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