1. Koizumi, M., "The concept of FGM, Ceramic Transactions", Functionally Gradient Materials, vol. 3(1), 1993, pp. 3-10.
2. Lal, R., Ahlawat, N., "Buckling and Vibration of Functionally Graded Non-uniform Circular Plates Resting on Winkler Foundation", Latin American Journal of Solids and Structures, vol. 12, 2015, pp. 2231-2258. [
DOI:10.1590/1679-78251595]
3. 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", In Proceeding of the London Mathematical Society, vol. 22, 1891, pp. 54-67. [
DOI:10.1112/plms/s1-22.1.54]
4. Yamaki, N.B., "Buckling of a thin annular plate under uniform compression, Transactions of ASME", Journal of Applied Mechanics, vol. 25, 1958, pp. 267-273.
5. Timoshenko, S.P., Gere, J.M., "Theory of elastic stability, 2nd Edition", New York, McGraw-Hill, (1961).
6. Brush, D.O., Almroth, B.O., "Buckling of bars, plates and shells", New York, McGraw-Hill, (1975). [
DOI:10.1115/1.3423755]
7. Reddy, J.N., Khdeir, A.A., "Buckling and vibration of laminated composite plate using various plate theories", AIAA J, vol. 27, 1989, pp. 1808-1817. [
DOI:10.2514/3.10338]
8. Kadkhodayan, M., Zhang, L.C., Sowerby, R., "Analyses of wrinkling and buckling of elastic plates by DXDR method", Computers and Structures, vol. 65(4), 1997, pp. 561-574. [
DOI:10.1016/S0045-7949(96)00368-9]
9. Ozakca, M., Taysi, N., Kolcu, F., "Buckling analysis and shape optimization of elastic variable thickness circular and annular plates-I. Finite element formulation", Engineering Structures, vol. 25, 2003, pp. 181-192. [
DOI:10.1016/S0141-0296(02)00133-5]
10. Xu, R.Q., Wang, Y., Chen, W.Q.,"Axisymetric buckling of transversely isotropic circular and annular plates", Arch Appl Mech, vol. 74, 2005, pp. 692-703. [
DOI:10.1007/s00419-005-0379-4]
11. Najafizadeh, M.M., Eslami, M.R., "First-order-theory-based thermoelastic stability of functionally graded material circular plates", AIAA J, vol. 40, 2002, pp. 1444-1450. [
DOI:10.2514/3.15214]
12. Najafizadeh, M.M., Eslami, M.R., "Buckling analysis of circular plates of functionally graded materials under uniform radial compression", International Journal of Mechanical Sciences, vol. 44, 2002, pp. 2479-2493. [
DOI:10.1016/S0020-7403(02)00186-8]
13. Naei, M.H., Masoumi, A., Shamekhi, A., "Buckling analysis of circular functionally graded material plate having variable thickness under uniform compression by finite-element method", Proceeding Institution Mech. Eng. Part C, J. Mech Eng. Sci, vol. 221, 2007, pp. 1241-1247. [
DOI:10.1243/09544062JMES636]
14. Sepahi, O., Forouzan, M.R., Malekzadeh, P., "Thermal Buckling and post buckling analysis of functionally graded annular plates with temperature-dependent material properties", Materials and Design, vol. 32, 2011, pp. 4030-4041. [
DOI:10.1016/j.matdes.2011.03.063]
15. Golmakani, M.E., Emami, M., "Nonlinear bending and buckling analysis of functionally graded annular plates", Modares Mechanical Engineering, vol. 13(11), 2013, pp. 1-14.
16. Khosravi, H., Khosravi, M., Khosravi, M., Shoaib Mousavi, S., "Analyzing thermal stability of circular plates made of FGM bimorphs considering the first-order shear deformation theory", Indian Journal of Science and Technology, vol. 8(12), 2015, pp. 53110. [
DOI:10.17485/ijst/2015/v8i12/53110]
17. Khosravi, H., Khosravi, M., "An exact solution of thermal stability analysis of bimorph functionally graded annular plates", Revista de la Construcción, vol. 16(1), 2017, pp. 66-81. [
DOI:10.7764/RDLC.16.1.66]
18. Lezgy-Nazargah, M., Vidal, p., Polit. O., "An efficient finite element model for static and dynamic analyses of functionally graded piezoelectric beams", Composite Structures, vol. 104, 2013, pp. 71-84. [
DOI:10.1016/j.compstruct.2013.04.010]
19. Lezgy-Nazargah, M., Farahbakhsh, M., "Optimum material gradient composition for the functionally graded piezoelectric beams", International Journal of Engineering, Science and Technology, vol. 5(4), 2013, pp. 80-99. [
DOI:10.4314/ijest.v5i4.8]
20. Lezgy-Nazargah, M., "A three-dimensional exact state-space solution for cylindrical bending of continuously non-homogenous piezoelectric laminated plates with arbitrary gradient composition", Archive of Mechanics, vol. 67(1), 2015, pp. 25-51.
21. Lezgy-Nazargah, M., "A three-dimensional Peano series solution for the vibration of functionally graded piezoelectric laminates in cylindrical bending", Scientia Iranica, vol. 23(3), 2016, pp. 788-801. [
DOI:10.24200/sci.2016.2159]
22. Lezgy-Nazargah, M., "Fully coupled thermo-mechanical analysis of bi-directional FGM beams using NURBS isogeometric finite element approach", Aerospace Science and Technology, vol. 45, 2015, pp. 154-164. [
DOI:10.1016/j.ast.2015.05.006]
23. Lezgy-Nazargah, M., Meshkani, Z., "An efficient partial mixed finite element model for static and free vibration analyses of FGM plates rested on two-parameter elastic foundations", Structural Engineering and Mechanics, vol. 66(5), 2018, pp. 665-676.
24. Baferani, A.H., Saidi, A.R., Ehteshami, H., "On free vibration of functionally graded mindlin plate and effect of in-plane displacements", Journal of Mechanics, vol. 29(2), 2013, pp. 373-384. [
DOI:10.1017/jmech.2013.11]
25. Soltani, M., "Vibration characteristics of axially loaded tapered Timoshenko beams made of functionally graded materials by the power series method", Numerical Methods in Civil Engineering, vol. 2(1), 2017, pp. 1-14.
26. Soltani, M. and Mohri, F., "Stability and vibration analyses of tapered columns resting on one or two-parameter elastic foundations", Numerical Methods in Civil Engineering, vol. 1(2), 2014, pp. 57-66.
27. Soltani, M. and Sistani, A., "Elastic stability of columns with variable flexural rigidity under arbitrary axial load using the finite difference method", Numerical Methods in Civil Engineering, vol. 1(4), 2017, 23-31
28. Soltani, M., Asgarian, B., "Determination of lateral-torsional buckling load of simply supported prismatic thin-walled beams with mono-symmetric cross-sections using the finite difference method", Amirkabir Journal of Civil Engineering, vol. 50(1), 2018, 23-26.
29. Soltani, M. and Asgarian, B., "Buckling analysis of axially functionally graded columns with exponentially varying cross-section", Modares Civil Engineering Journal, vol. 18(3), 2018, pp. 87-97.
30. Boyd, J.P., "Chebyshev and Fourier Spectral Methods", New York, Dover, (2000).
31. Wang, C.M., Hong, G.M., Tan, T.J., "Elastic buckling of tapered circular plates", Computers & Structures, vol. 55, 1995, pp. 1055-1061. [
DOI:10.1016/0045-7949(94)00508-Z]
32. Wang, C.M., Xiang, Y., Kitipornchai, S., Liew, K.M., "Axisymmetric buckling of circular Mindlin plates with ring supports", Journal of Structural Engineering, vol. 119, 1993, pp. 782-793. [
DOI:10.1061/(ASCE)0733-9445(1993)119:3(782)]
33. Raju, K.K., Rao, G.V., "Finite element analysis of post-buckling behavior of cylindrical orthotropic circular plates", Fibre Science and Technology, vol. 19, 1983, pp. 145-154. [
DOI:10.1016/0015-0568(83)90037-4]
34. Eskandari-Jam, J., Khosravi, M., Namdaran, N., "An exact solution of mechanical buckling for functionally graded material bimorph circular plates", Metallurgical and Materials Engineering, vol. 19(1), 2013, pp. 45-63.