[1] NIE, G. and ZHONG, Z. Semi-analytical solution for three-dimensional vibration of functionally graded circular plates. Computer Methods in Applied Mechanics and Engineering, 196(49-52), 4901-4910(2007)
[2] CHEN, D., YANG, J., and KITIPORNCHAI, S. Free and forced vibrations of shear deformable functionally graded porous beams. International Journal of Mechanical Sciences, 108, 14-22(2016)
[3] SHARIYAT, M. and ALIPOUR, M. Analytical bending and stress analysis of variable thickness FGM auxetic conical/cylindrical shells with general tractions. Latin American Journal of Solids and Structures, 14(5), 805-843(2017)
[4] CONG, P. H., KHANH, N. D., KHOA, N. D., and DUC, N. D. New approach to investigate nonlinear dynamic response of sandwich auxetic double curves shallow shells using TSDT. Composite Structures, 185, 455-465(2018)
[5] CARTA, G., BRUN, M., and BALDI, A. Design of a porous material with isotropic negative Poisson's ratio. Mechanics of Materials, 97, 67-75(2016)
[6] BEHRAVAN-RAD, A. Static analysis of non-uniform 2D functionally graded auxetic-porous circular plates interacting with the gradient elastic foundations involving friction force. Aerospace Science and Technology, 76, 315-339(2018)
[7] ABUALNOUR, M., HOUARI, M. S. A., TOUNSI, A., and MAHMOUD, S. A novel quasi-3D trigonometric plate theory for free vibration analysis of advanced composite plates. Composite Structures, 184, 688-697(2018)
[8] MERDACI, S. and BELGHOUL, H. High-order shear theory for static analysis of functionally graded plates with porosities. Comptes Rendus Mécanique, 347(3), 207-217(2019)
[9] VAN DO, V. N. and LEE, C. H. Quasi-3D higher-order shear deformation theory for thermal buckling analysis of FGM plates based on a meshless method. Aerospace Science and Technology, 82, 450-465(2018)
[10] DEMIRBAS, M. D. and APALAK, M. K. Thermal stress analysis of one-and two-dimensional functionally graded plates subjected to in-plane heat fluxes. Proceedings of the Institution of Mechanical Engineers, Part L:Journal of Materials:Design and Applications, 233(4), 546-562(2019)
[11] ARSHID, E., KIANI, A., AMIR, S., and ZARGHAMI-DEHAGHANI, M. Asymmetric free vibration analysis of first-order shear deformable functionally graded magneto-electro-thermo-elastic circular plates. Proceedings of the Institution of Mechanical Engineers, Part C:Journal of Mechanical Engineering Science, 0954406219850598(2019)
[12] LAL, R. and SAINI, R. On radially symmetric vibrations of functionally graded non-uniform circular plate including non-linear temperature rise. European Journal of Mechanics-A/Solids, 77, 103796(2019)
[13] JAFARI, M. and JAFARI, M. Effect of uniform heat flux on stress distribution around a triangular hole in anisotropic infinite plates. Journal of Thermal Stresses, 41(6), 726-747(2018)
[14] JAFARI, M., BAYATI-CHALESHTARI, M. H., and ABDOLALIAN, H. General solution of stress field in exponential functionally graded material plates containing a quasi-rectangular cutout. Journal of Composite Materials, 53(3), 405-421(2019)
[15] JAFARI, M. Thermal stress analysis of orthotropic plate containing a rectangular hole using complex variable method. European Journal of Mechanics-A/Solids, 73, 212-223(2019)
[16] BEHRAVAN-RAD, A. Semi-analytical solution for functionally graded solid circular and annular plates resting on elastic foundations subjected to axisymmetric transverse loading. Advances in Applied Mathematics and Mechanics, 4(2), 205-222(2012)
[17] KHOUZESTANI, L. B. and KHORSHIDVAND, A. R. Axisymmetric free vibration and stress analyses of saturated porous annular plates using generalized differential quadrature method. Journal of Vibration and Control, 25(21-22), 2799-2818(2019)
[18] LAL, R. and SAINI, R. Vibration analysis of FGM circular plates under non-linear temperature variation using generalized differential quadrature rule. Applied Acoustics, 158, 107027(2020)
[19] MANSOURI, M. and SHARIYAT, M. Differential quadrature thermal buckling analysis of general quadrilateral orthotropic auxetic FGM plates on elastic foundations. Thin-Walled Structures, 112, 194-207(2017)
[20] BEHRAVAN-RAD, A. Thermo-elastic analysis of non-uniform functionally graded circular plate resting on a gradient elastic foundation. Journal of Solid Mechanics, 9(1), 63-85(2017)
[21] ALIBEIGLOO, A. Thermo elasticity solution of functionally graded, solid, circular, and annular plates integrated with piezoelectric layers using the differential quadrature method. Mechanics of Advanced Materials and Structures, 25(9), 766-784(2018)
[22] ALIBEIGLOO, A. Thermo elasticity solution of sandwich circular plate with functionally graded core using generalized differential quadrature method. Composite Structures, 136, 229-240(2016)
[23] YAS, M. and MOLOUDI, N. Three-dimensional free vibration analysis of multi-directional functionally graded piezoelectric annular plates on elastic foundations via state space based differential quadrature method. Applied Mathematics and Mechanics (Enghlish Edition), 36(4), 439-464(2015) https://doi.org/10.1007/s10483-015-1923-9
[24] BEHRAVAN-RAD, A. and SHARIYAT, M. Thermo-magneto-elasticity analysis of variable thickness annular FGM plates with asymmetric shear and normal loads and non-uniform elastic foundations. Archives of Civil and Mechanical Engineering, 16(3), 448-466(2016)
[25] JABBARI, M., KARAMPOUR, S., and ESLAMI, M. Steady state thermal and mechanical stresses of a poro-piezo-FGM hollow sphere. Meccanica, 48(3), 699-719(2013)
[26] MOJAHEDIN, A., JABBARI, M., KHORSHIDVAND, A. R., and ESLAMI, M. Buckling analysis of functionally graded circular plates made of saturated porous materials based on higher order shear deformation theory. Thin-Walled Structures, 99, 83-90(2016)
[27] RAD, A. B. and SHARIYAT, M. Three-dimensional magneto-elastic analysis of asymmetric variable thickness porous FGM circular plates with non-uniform tractions and Kerr elastic foundations. Composite Structures, 125, 558-574(2015)
[28] BEHRAVAN-RAD, A. FARZAN-RAD, M., and MAJD, K. M. Static analysis of non-uniform heterogeneous circular plate with porous material resting on a gradient hybrid foundation involving friction force. Structural Engineering and Mechanics, 64(5), 591-610(2017)
[29] SLADEK, J., SLADEK, V., STANAK, P., and HRCEK, S. Bending of a porous piezoelectric cylinder under a thermal load. Engineering Analysis with Boundary Elements, 51, 136-145(2015)
[30] AKBAS, S. D. Forced vibration analysis of functionally graded porous deep beams. Composite Structures, 186, 293-302(2018)
[31] WU, D., LIU, A., HUANG, Y., HUANG, Y., PI, Y., and GAO, W. Dynamic analysis of functionally graded porous structures through finite element analysis. Engineering Structures, 165, 287-301(2018)
[32] SHAHSAVARI, D., SHAHSAVARI, M., LI, L., and KARAMI, B. A novel quasi-3D hyperbolic theory for free vibration of FG plates with porosities resting on Winkler/Pasternak/Kerr foundation. Aerospace Science and Technology, 72, 134-149(2018)
[33] CHEN, D., YANG, J., and KITIPORNCHAI, S. Buckling and bending analyses of a novel functionally graded porous plate using Chebyshev-Ritz method. Archives of Civil and Mechanical Engineering, 19(1), 157-170(2019)
[34] TU, T. M., HOA, L. K., HUNG, D. X., and HAI, L. T. Nonlinear buckling and post-buckling analysis of imperfect porous plates under mechanical loads. Journal of Sandwich Structures and Materials, 1099636218789612(2018)
[35] JALALI, S. and HESHMATI, M. Vibration analysis of tapered circular poroelastic plates with radially graded porosity using pseudo-spectral method. Mechanics of Materials, 140, 103240(2020)
[36] BOURADA, F., BOUSAHLA, A. A., BOURADA, M., AZZAZ, A., ZINATA, A., and TOUNSI, A. Dynamic investigation of porous functionally graded beam using a sinusoidal shear deformation theory. Wind and Structures, 28(1), 19-30(2019)
[37] DUC, N. D., QUANG, V. D., NGUYEN, P. D., and CHIEN, T. M. Nonlinear dynamic response of functionally graded porous plates on elastic foundation subjected to thermal and mechanical loads. Journal of Applied and Computational Mechanics, 4(4), 245-259(2018)
[38] RAO, L. B. and RAO, C. K. Buckling of circular plate with foundation and elastic edge. International Journal of Mechanics and Materials in Design, 11(2), 149-156(2015)
[39] ALIPOUR, M. Effects of elastically restrained edges on FG sandwich annular plates by using a novel solution procedure based on layerwise formulation. Archives of Civil and Mechanical Engineering, 16(4), 678-694(2016)
[40] TAN, P. and NIE, G. Free and forced vibration of variable stiffness composite annular thin plates with elastically restrained edges. Composite Structures, 149, 398-407(2016)
[41] SUN, Y., WANG, M., and LI, S. Thermal buckling and postbuckling of FGM circular plates with in-plane elastic restraints. Applied Mathematics and Mechanics (Eghlish Edition), 38(10), 1459-1470(2017) https://doi.org/10.1007/s10483-017-2242-6
[42] ZHAO, J., XIE, F., WANG, A., SHUAI, C., TANG, J., and WANG, Q. Dynamics analysis of functionally graded porous (FGP) circular, annular and sector plates with general elastic restraints. Composites Part B:Engineering, 159, 20-43(2019)
[43] XU, X. and DENG, Z. Wave propagation characteristics in thick conventional and auxetic cellular plates. Acta Mechanica Solida Sinica, 29(2), 159-166(2016)
[44] LIM, T. C. Thermal stresses in auxetic plates and shells. Mechanics of Advanced Materials and Structures, 22(3), 205-212(2015)
[45] LIM, T. C. Longitudinal wave speed in auxetic plates with elastic constraint in width direction. Archive of Applied Mechanics, 89, 659-668(2019)
[46] LIM, T. C. Buckling and vibration of circular auxetic plates. Journal of Engineering Materials and Technology, 136(2), 021007(2014)
[47] LIM, T. C. Auxetic plates on auxetic foundation. Advanced Materials Research, 974, 398-401(2014)
[48] MANSOURI, M. and SHARIYAT, M. Biaxial thermo-mechanical buckling of orthotropic auxetic FGM plates with temperature and moisture dependent material properties on elastic foundations. Composites Part B:Engineering, 83, 88-104(2015)
[49] ASEMI, K. and SHARIYAT, M. Three-dimensional biaxial post-buckling analysis of heterogeneous auxetic rectangular plates on elastic foundations by new criteria. Computer Methods in Applied Mechanics and Engineering, 302, 1-26(2016)
[50] DUC, N. D. and PHAM, C. H. Nonlinear dynamic response and vibration of sandwich composite plates with negative Poisson's ratio in auxetic honeycombs. Journal of Sandwich Structures and Materials, 20(6), 692-717(2018)
[51] SAADTFAR, M. and AGHAIE-KHAFRI, M. Hygrothermal analysis of a rotating smart exponentially graded cylindrical shell with imperfect bonding supported by an elastic foundation. Aerospace Science and Technology, 43, 37-50(2015)
[52] SOBHY, M. An accurate shear deformation theory for vibration and buckling of FGM sandwich plates in hygrothermal environment. International Journal of Mechanical Sciences, 110, 62-77(2016)
[53] ALIPOUR, M. and SHARIYAT, M. Nonlocal zigzag analytical solution for Laplacian hygrothermal stress analysis of annular sandwich macro/nanoplates with poor adhesions and 2D-FGM porous cores. Archives of Civil and Mechanical Engineering, 19(4), 1211-1234(2019)
[54] BEHRAVAN-RAD, A. Static response of 2-D functionally graded circular plate with gradient thickness and elastic foundations to compound loads. Structural Engineering and Mechanics, 44(2), 139-161(2012)
[55] BEHRAVAN-RAD, A. Thermo-elastic analysis of functionally graded circular plates resting on a gradient hybrid foundation. Applied Mathematics and Computation, 256, 276-298(2015)