References:
[1] Terzaghi, K. Die Berechnung der Durchassigkeitsziffer des Tones aus dem Verlauf der hydrodynamischen Spannungsercheinungen, Sitzungsberichte der Akademie der Wissenschaften in Wien, Mathematisch- Naturwissenschaftliche Klasse[The calculation of permeability of clay from the variation of hydrodynamic stress with time, Proceedings of the Academy of Sciences in Vienna, School of Mathematical Sciences], 2A 132, 125-138(1932).
[2] Biot, M. A. General theory of three-dimensional consolidation. Journal of Applied Physics, 12, 155-164 (1941).
[3] Biot, M. A. Theory of elasticity and consolidation for a porous anisotropic solid. Journal of Applied Physics, 26, 182-185 (1955).
[4] Biot, M. A. Generalized theory of acoustic propagation in porous dissipative media. The Journal of the Acoustical Society of America, 34, 1254-1264 (1962).
[5] Biot, M. A. Mechanics of deformation and acoustic propagation in porous media. Journal of Applied Physics, 33, 1482-1498 (1962).
[6] Selvadurai, A. P. S. Mechanics of poroelastic media; Solid Mechanics and its Application. Vol. 35. Kluwer (1996).
[7] Wang, H. F. Theory of linear poroelasticity with applications to geomechanics and hydrogeology. Princeton University Press (2000).
[8] Nowinski, J. L., and Davis, C. F. A model of the human skull as a poroelastic spherical shell subjected to a quasistatic load. Mathematical Biosciences, 8, 397-416 (1970).
[9] Nowinski, J. L., and Davis, C. F. The flexure and torsion of bones viewed as anisotropic poroelastic bodies. International Journal of Engineering Science, 10, 1063-1079 (1972).
[10] Manfredini, P., Cocchetti, G., Maier, G., Redaelli, A., and Montevecchi, F. M. Poroelastic finite element analysis of a bone specimen under cyclic loading. Journal of Biomechanics, 32, 135-144 (1999).
[11] Lu, J. F., Jeng, D. S., Lee, T. L. Dynamic response of a piecewise circular tunnel embedded in a poroelastic medium. Soil Dynamics and Earthquake Engineering, 27, 875-891 (2007).
[12] Cai, Y., Cao, Z., Sun, H., and Xu, C. Effects of the dynamic wheel-rail interaction on the ground vibration generated by a moving train. International Journal of Solids and Structures, 47, 2246-2259 (2010).
[13] Cao, Z., and Bostr¨om, A. Dynamic response of a poroelastic half-space to accelerating or decelerating trains. Journal of Sound and Vibration, 332, 2777-2794 (2013).
[14] Lo, W. C. Decoupling of the coupled poroelastic equations for quasistatic flow in deformable porous media containing two immiscible fluids. Advances in Water Resources, 29, 1893-1900 (2006).
[15] Lo, W. C., Sposito, G., and Majer, E. Immiscible two-phase fluid flows in deformable porous media. Advances in Water Resources, 25, 1105-1117 (2002).
[16] Coussy, O. Poromechanics of freezing materials. Journal of Mechanics and Physics of Solids, 53, 1689-1718 (2005).
[17] Yamamoto, T., Maruyama, S., Nishiwaki, S., and Yoshimura, M. Topology design of multi-material soundproof structures including poroelastic media to minimize sound pressure levels. Computer Methods in Applied Mechanics and Engineering, 198, 1439- 1455 (2009).
[18] Hou, P. F., Zhao, M., Tong, J., and Fu, B. Three-dimensional steady-state Green’s functions for fluid-saturated, transversely isotropic, poroelastic bimaterials. Journal of Hydrology, 496, 217-224 (2013).
[19] Zhou, J., Bhaskar, A., and Zhang, X. Sound transmission through a double-panel construction lined with poroelastic material in the presence of mean flow. Journal of Sound and Vibration, 332, 3724-3734 (2013).
[20] Boutin, C. Behavior of poroelastic isotropic beam derivation by asymptotic expansion method. Journal of Mechanics and Physics of Solids, 60, 1063-1087 (2012).
[21] Carcione, J. M., and Gerardo, Q. G. Some aspects of the physics and numerical modeling of Biot compressional waves. Journal of Computational Acoustics, 3, 261-280 (1995).
[22] White, J. E. Computed seismic speeds and attenuation in rocks with partial gas saturation. Geophysics, 40, 224-232 (1975).
[23] Mandel, J. Consolidation des sols (´etude math´e-matique)[Consolidation of soils (mathematical analysis)]. Geotechnique, 3, 287-299 (1953).
[24] Cryer, C. W. A comparison of the three-dimensional consolidation theories of Biot and Terzaghi. Quarterly Journal of Mechanics and Applied Mathematics, 16, 401-412 (1963).
[25] Schiffman, R. L., Chen, A. T. F., and Jordan, J. C. An analysis of consolidation theories. Journal of the Soil Mechanics and Foundations Division, 95, 295-312 (1969).
[26] Gibson, R. E., Gobert, A., and Schiffman, R. L. On Cryer’s problem with large displacements and variable permeability. Geotechnique, 40, 627-631 (1990).
[27] Abousleiman, Y., Cheng, A. H. D., Cui, L., Detournay, E., and Roegiers, J. C. Mandel’s problem revisited. Geotechnique, 46, 187-195 (1996).
[28] Li, L. P., Schulgasser, K., and Cederbaum, G. Theory of poroelastic beams with axial diffusion. Journal of Mechanics and Physics of Solids, 43, 2023-2042 (1995).
[29] Cederbaum, G., Schulgasser, K., and Li, L. P. Interesting behavior patterns of poroelastic beams and columns. International Journal of Solids and Structures, 35, 4931-4943 (1998).
[30] Li, L. P., Schulgasser, K., and Cederbaum, G. Buckling of poroelastic columns with axial diffusion. International Journal of Mechanical Sciences, 39, 409-415 (1997).
[31] Olsson, M. On the fundamental moving load problem. Journal of Sound and Vibration, 145, 299-307 (1991).
[32] Savin, E. Dynamic amplification factor and response spectrum for the evaluation of vibrations of beams under successive moving loads. Journal of Sound and Vibration, 248, 267-288 (2001).
[33] Michaltsos, G. T. Dynamic behaviour of a single-span beam subjected to loads moving with variable speeds. Journal of Sound and Vibration, 258, 359-372 (2002).
[34] Kiani, K. Nonlocal continuum-based modeling of a nanoplate subjected to a moving nanoparticle. Part I: Theoretical formulations. Physica E: Low-dimensional Systems and Nanostructures, 44, 229–248 (2011).
[35] Kiani, K. Nonlocal continuum-based modeling of a nanoplate subjected to a moving nanoparticle. Part II: Parametric studies. Physica E: Low-dimensional Systems and Nanostructures, 44, 249–269 (2011).
[36] Kiani, K. Vibrations of biaxially tensioned-embedded nanoplates for nanoparticle delivery. Indian Journal of Science and Technology, 6, 4894–4902 (2013).
[37] Ebrahimzadeh Hassanabadi, M., Amiri, J. V., Davoodi, M. R., On the vibration of a thin rectangular plate carrying a moving oscillator. Scientia Iranica, 21, 284–294 (2014).
[38] Lee, U. Revisiting the moving mass problem: on set of separation between the mass and beam. Journal of Vibration and Acoustics, ASME, 118, 516-521 (1996).
[39] Lee, H. P. The dynamic response of a Timoshenko beam subjected to a moving mass. Journal of Sound and Vibration, 198, 249-256 (1996).
[40] Michaltsos, G., Sophianopoulos, D., and Kounadis, A. N. The effect of a moving mass and other parameters on the dynamic response of a simply supported beam. Journal of Sound and Vibration, 191, 357-362 (1996).
[41] Ichikawa, M., Miyakawa, Y., and Matsuda, A. Vibration analysis of the continuous beam subjected to a moving mass. Journal of Sound and Vibration, 230, 493-506 (2000).
[42] Kiani, K., Nikkhoo, A., and Mehri, B. Prediction capabilities of classical and shear deformable beam theories excited by a moving mass. Journal of Sound and Vibration, 320, 632-648 (2009).
[43] Kiani, K., Nikkhoo, A., and Mehri, B. Parametric analyses of multispan viscoelastic shear deformable beams under excitation of a moving mass. Journal of Vibration and Acoustics, ASME 131, 051009 (2009).
[44] Azam, S. E., Mofid, M., and Khoraskani, R. A. Dynamic response of Timoshenko beam under moving mass. Scientia Iranica, 20, 50-56 (2013). [45] Nikkhoo, A., Rofooei, F.R., and Shadnam, M. R. Dynamic behavior and modal control
of beams under moving mass. Journal of Sound and Vibration, 306, 712-724 (2007).
[46] Hassanabadi, M. E., Nikkhoo, A., Amiri, J. V., and Mehri, B. A new orthonormal polynomial series expansion method in vibration analysis of thin beams with non-uniform thickness. Applied Mathematical Modelling, 37, 8543-8556 (2013).
[47] Ahmadi, M., and Nikkhoo, A. Utilization of characteristic polynomials in vibration analysis of non-uniform beams under a moving mass excitation. Applied Mathematical Modelling, 38, 2130-2140 (2014).
[48] Nikkhoo, A. Investigating the behavior of smart thin beams with piezoelectric actuators under dynamic loads. Mechanical Systems and Signal Processing, 45, 513-530 (2014).
[49] Nikkhoo, A., Farazandeh, A., Hassanabadi, M. E. and Mariani, S. Simplified modeling of beam vibrations induced by a moving mass by regression analysis. Acta Mechanica, 226, 2147-2157 (2015).
[50] Nikkhoo, A., Farazandeh, A., and Hassanabadi, M.E. On the computation of moving mass/beam interaction utilizing a semi-analytical method. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 38, 761-771 (2016).
[51] Khoraskani, R. A., Mofid, M., Azam, S. E., Ebrahimzadeh Hassanabadi, M. A new simplified formula in prediction of the resonance velocity for multiple masses traversing a thin beam. Scientia Iranica, 23, 133–141 (2016).
[52] Azam, S. E., Mofid, M., Khoraskani, R. A. Dynamic response of Timoshenko beam under moving mass. Scientia Iranica A: Transactions in Civil Engineering, 20, 50–56 (2013).
[53] Rofooei, F. R., Enshaeian, A., Nikkhoo, A. Dynamic response of geometrically nonlinear, elastic rectangular plates under a moving mass loading by inclusion of all inertial components. Journal of Sound and Vibration, 394, 497–514 (2017).
[54] Hassanabadi, M. E., Attari, K. A., Nikkhoo, A., Mariani, S. Resonance of a rectangular plate influenced by sequential moving masses. Coupled Systems Mechanics, 5, 87–100 (2016).
[55] Lin, Y. H., and Trethewey, M. W. Finite element analysis of elastic beams subjected to moving dynamic loads. Journal of Sound and Vibration, 136, 323-342 (1990).
[56] Yang, Y. B., and Yau, J. D. Vehicle-bridge interaction element for dynamic analysis. Journal of Structural Engineering, ASCE 123, 1512-1518 (1997).
[57] Yang, Y. B., and Wu, Y. S. A versatile element for analyzing vehicle-bridge interaction response. Engineering Structures, 23, 452-469 (2001).
[58] Kiani, K., Avili, H.G., and Kojorian, A.N. On the role of shear deformation in dynamic behavior of a fully saturated poroelastic beam traversed by a moving load. International Journal of Mechanical Sciences, 94, 84-95 (2015).
[59] Pak, R. Y. S., and Guzina, B. B. Three-dimensional Green’s functions for a multilayered half-space in displacement potentials. Journal of Engineering Mechanics, ASCE 128, 449-461 (2002).
[60] Theodorakopoulos, D. D. Dynamic analysis of a poroelastic half-plane soil medium under moving loads. Soil Dynamics and Earthquake Engineering, 23, 521-533 (2003).
[61] Jin, B., Yue, Z. Q., and Tham, L. G. Stresses and excess pore pressure induced in saturated poroelastic halfspace by moving line load. Soil Dynamics and Earthquake Engineering, 24, 25-33 (2004).
[62] Cai, Y., Sun, H., and Xu, C. Steady state responses of poroelastic half-space soil medium to a moving rectangular load. International Journal of Solids and Structures, 44, 7183- 7196 (2007).
[63] Lu, J. F., and Jeng, D. S. A half-space saturated poro-elastic medium subjected to a moving point load. International Journal of Solids and Structures, 44, 573-586 (2007).
[64] Sun, H., Cai, Y., and Xu, C. Three-dimensional simulation of track on poroelastic halfspace vibrations due to a moving point load. Soil Dynamics and Earthquake Engineering, 30, 958-967 (2010).
[65] Cao, Z., Cai, Y., Bostr¨om, A., and Zheng, J. Semi-analytical analysis of the isolation to moving-load induced ground vibrations by trenches on a poroelastic half-space. Soil Dynamics and Earthquake Engineering, 331, 947-961 (2012).
[66] Shi, L., Sun, H., Cai, Y., Xu, C., and Wang, P. Validity of fully drained, fully undrained and u-p formulations for modeling a poroelastic half-space under a moving harmonic point load. Soil Dynamics and Earthquake Engineering, 42, 292-301 (2012).
[67] Etchessahar, M., Sahraoui, S., and Brouard, B. Bending vibrations of a rectangular poroelastic plate. Comptes Rendus de l’Academie des Sciences-Series IIB-Mechanics, 329, 615-620 (2001).
[68] Theodorakopoulos, D. D., and Beskos, D. E. Flexural vibrations of poroelastic plates. Acta Mechanica, 103, 191-203 (1994).
[69] Horoshenkov, K. V., and Sakagami, K. A method to calculate the acoustic response of a thin, baffled, simply supported poroelastic plate. The Journal of the Acoustical Society of America, 110, 904-917 (2001).
[70] Leclaire, P., Horoshenkov, K.V., and Cummings, A. Transverse vibrations of a thin rectangular porous plate saturated by a fluid. Journal of Sound and Vibration, 247, 1-18 (2001).
[71] Yahia, S. A., Atmane, H. A., Houari, M. S. A., and Tounsi, A. Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories. Structural Engineering and Mechanics, 53, 1143-1165 (2015).
[72] Reddy, P. M., and Tajuddin, M. Exact analysis of the plane-strain vibrations of thickwalled hollow poroelastic cylinders. International Journal of Solids and Structures, 37, 3439-3456 (2000).
[73] Tajuddin, M., and Shah, S. A. On torsional vibrations of infinite hollow poroelastic cylinders. Journal of Mechanics of Materials and Structures, 2, 189-200 (2007).
[74] Bourada, M., Kaci, A., Houari, M. S. A. and Tounsi, A. A new simple shear and normal deformations theory for functionally graded beams. Steel and Composite Structures, 18, 409-423 (2015).
[75] Belabed, Z., Houari, M. S. A., Tounsi, A., Mahmoud, S.R. and Anwar Beg, O. An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates. Composites Part B-Engineering, 60, 274-283 (2014).
[76] Mahi, A., Adda Bedia, E. A. and Tounsi, A. A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates. Applied Mathematical Modeling, 39, 2489-2508 (2015).
[77] Lee, H. P. Dynamic response of a Timoshenko beam on a Winkler foundation subjected to a moving mass. Applied Acoustics, 55, 203-215 (1998).
[78] Lou, P., Dai, G. L., and Zeng, Q. Y. Finite-element analysis for a Timoshenko beam subjected to a moving mass. Proceedings of the Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science, 220, 669-678 (2006).
)