[1] Detournay, E., and Cheng, A. H. D., “Fundamentals of Poroelasticity”, Pergamon Press, New York, (1993).
[2] Abrate, S., “Free Vibration, Buckling and Static Deflections of Functionally Graded Plates”, Composites Science and Technology, Vol. 66, No. 14, pp. 2383-2394, (2006).
[3] Reddy, J. N., and Khdeir, A. A., “Buckling and Vibration of a Laminated Composite Plate using Various Plate Theories”, AIAA Journal, Vol. 27, No. 12, pp. 1808-1817, (1989).
[4] Decha-Umphai, K., and Mei, C., “Finite Element Method for Nonlinear Forced Vibrations of Circular Plates”, International Journal for Numerical Methods in Engineering, Vol. 23, No. 9, pp. 1715-1726, (1986).
[5] Wang, Y., Xu, R., and Ding, H., “Free Axisymmetric Vibration of FGM Circular Plates”, Applied Mathematics and Mechanics, Vol. 30, No. 9, pp. 1077-1082, (2009).
[6] Najafizadeh, M. M., and Heydari, H. R., “An Exact Solution for Buckling of Functionally Graded Circular Plates Based on Higher Order Shear Deformation Plate Theory under Uniform Radial Compression”, International Journal of Mechanical Sciences, Vol. 50, No. 3, pp. 603-612, (2008).
[7] Wu, T. Y., Wang, Y. Y., and Liu, G. R., “Free Vibration Analysis of Circular Plates using Generalized Differential Quadrature Rule”, Computer Methods in Applied Mechanics and Engineering, Vol. 191, No. 46, pp. 5365–5380, (2002).
[8] Brayan, G. H., “On the Stability of a Plane Plate under Thrust in its Own Plane with Application to the Buckling of the Side of a Ship”, Proceeding of the London Mathematical Society, Vol. 1, No. 1, pp. 54-67, (1890).
[9] Reismann, H., “Bending and Buckling of an Elastically Restrained Circular Plate”, Transactions of ASME Journal of Applied Mechanics, Vol. 19, No. 2, pp. 167–172, (1952).
[10] Amon, R., and Widera, O. E., “Stability of Edge-reinforced Circular Plate”, ASCE Journal of the Engineering Mechanics Division, Vol. 97, No. 5, pp. 1597–1601, (1971).
[11] Yamaki, N., “Buckling of a Thin Annular Plate under Uniform Compression”, Transactions of ASME Journal of Applied Mechanics, Vol. 25, No. 3, pp. 267–273, (1958).
[12] Klosner, J. M., and Forry, M. J., “Buckling of Simply Supported Plates under Arbitrary Symmetrical Temperature Distributions”, Journal of the Aerospace Sciences, Vol. 25, No. 9, pp. 181–184, (1958).
[13] Arshid, E., and Khorshidvand, A. R., “Numerical Solution of Free Vibrations Equations of Porous Circular Plates Based on Classical Theory”, Second National Conference of Civil, Architecture, Electricity and Mechanical Engineering, December 17, Gorgan, Iran, (2015). (In Persian)
[14] Reddy, J. N., “Mechanics of Laminated Composite Plates and Shells: Theory and Analysis”, CRC Press, New York, (2004).
[15] Brush, D. O., and Almorth, B. O., “Buckling of Bars, Plates and Shells”, McGraw-Hill, New York, (1975).
[16] Najafizadeh, M. M., and Eslami, M. R., “Buckling Analysis of Circular Plates of Functionally Graded Materials under Uniform Radial Compression”, International Journal of Mechanical Sciences, Vol. 44, No. 12, pp. 2479-2493, (2002).
[17] Jabbari, M., Mojahedin, A., Khorshidvand, A. R., and Eslami, M. R., “Buckling Analysis of a Functionally Graded Thin Circular Plate Made of Saturated Porous Materials”, Journal of Engineering Mechanics, Vol. 140, No. 2, pp. 287–295, (2013).
[18] Magnucka-Blandzi, E., “Axi-symmetrical Deflection and Buckling of Circular Porous-Cellular Plate”, Thin-Walled Structures, Vol. 46, No. 3, pp. 333–337, (2008).
[19] Khorshidvand, A. R., Farzaneh Joubaneh, E., Jabbari, M., and Eslami, M. R., “Buckling Analysis of a Porous Circular Plate with Piezoelectric Sensor-actuator Layers under Uniform Radial Compression”, Acta Mechanica, Vol. 225, No. 1, pp. 179-193, (2014).
[20] Liew, K. M., Han, J. B., Xiao, Z. M., and Du, H., “Differential Quadrature Method for Mindlin Plates on Winkler Foundations”, International Journal of Mechanical Sciences, Vol. 38, No. 4, pp. 405-421, (1996).
[21] Hosseini-Hashemi, Sh., and Khorami, K., “Analysis of Free Vibration of Moderately Thick Cylindrical Shells Made of Functionally Graded Materials using Differential Quadrature Method”, Modares Mechanical Engineering, Vol. 11, No. 2, pp. 93-106, (2011). (In Persian)
[22] Zong, Z., and Zhang, Y. Y., “Advanced Differential Quadrature Methods”, Chapman and Hall/CRC, New York, (2009).
[23] Theodorakopoulos, D. D., and Beskos, D. E., “Flexural Vibrations of Poroelastic Plates”, Acta Mechanica, Vol. 103, No. 4, pp. 191-203, (1994).
[24] Leissa, A. W., “Vibration of Plates”, NASA SP, Washington, (1969).
[25] Chen, D., Yang, J., and Kitipornchai, S., “Free and Forced Vibrations of Shear Deformable Functionally Graded Porous Beams”, International Journal of Mechanical Sciences, Vol. 108- 109, pp. 14-22, (2016).
)
