References
- Aydogdu, M. (2009) A New Shear Deformation Theory for Laminated Composite Plates, Compos. Struct., 89, pp.94-101. https://doi.org/10.1016/j.compstruct.2008.07.008
- Bao, G., Wang, L. (1995) Multiple Cracking in Functionally Graded Ceramic/Metal Coatings, Int. J. Solids Struct., 32, pp.2853-2871. https://doi.org/10.1016/0020-7683(94)00267-Z
- Belabed, Z., Houari, M.S.A., Tounsi, A., Mahmoud, S.R., Beg, O.A. (2014) An Efficient and Simple Higher Order Shear and Normal Deformation Theory for Functionally Graded Material (FGM) Plates, Compos. Part B: Eng., 60, pp.274-283. https://doi.org/10.1016/j.compositesb.2013.12.057
- Benachour, A., Daouadji, T.H., Ait Atmanea, H., Tounsi, A., Ahmed, M.S. (2011) A Four Variable Refined Plate Theory for Free Vibrations of Functionally Graded Plates with Arbitrary Gradient, Compos. Part B: Eng., 42, pp.1386-1394. https://doi.org/10.1016/j.compositesb.2011.05.032
- Bourada, M., Tounsi, A., Houari, M.S.A. (2012) A New Four-variable Refined Plate Theory for Thermal Buckling Analysis of Functionally Graded Sandwich Plates, J. Sandwich Struct. & Mater., 14, pp.5-33. https://doi.org/10.1177/1099636211426386
- Carrera, E., Brischetto, S., Cinefra, M., Soave, M. (2011) Effects of Thickness Stretching in Functionally Graded Plates and Shells, Compos. Part B: Eng., 42, pp.123-133.
- Delale, F., Erdogan, F. (1983) The Crack Problem for a Nonhomogeneous Plane, J. Appl. Mech. (ASME), 50, pp.609-614. https://doi.org/10.1115/1.3167098
- Han, S.C., Park, W.T., Jung, W.Y. (2015) A Four-variable Refined Plate Theory for Dynamic Stability Analysis of S-FGM Plates based on Physical Neutral Surface, Compos. Struct., 131, pp.1081-1089. https://doi.org/10.1016/j.compstruct.2015.06.025
- Hirano, T., Yamada, T. (1988) Multi-paradigm Expert System Architecture based upon the Inverse Design Concept, International Workshop on Artificial Intelligence for Industrial Applications, Hitachi, Japan.
- Hosseini-Hashemi, S., Fadaee, M., Atashipour, S.R. (2011a) Study on the Free Vibration of Thick Functionally Graded Rectangular Plates according to a New Exact Closed-form Procedure, Compos. Struct., 93, pp.722-735. https://doi.org/10.1016/j.compstruct.2010.08.007
- Hosseini-Hashemi, S., Fadaee, M., Atashipour, S.R. (2011b) A New Exact Analytical Approach for Free Vibration of Reissner-Mindlin Functionally Graded Rectangular Plates, Int. J. Mech. Sci., 53, pp.11-22. https://doi.org/10.1016/j.ijmecsci.2010.10.002
- Jung, W.Y., Han, S.C. (2014) Transient Analysis of FGM and Laminated Composite Structures using a Refined 8-node ANS Shell Element, Compos.: Part B, 56, pp.372-383. https://doi.org/10.1016/j.compositesb.2013.08.044
- Jung, W.Y., Han, S.C. (2015) Static and Eigenvalue Problems of Sigmoid Functionally Graded Materials (S-FGM) Micro-scale Plates using the Modified Couple Stress Theory, Appl. Math. Model., 39, pp.3506-3524. https://doi.org/10.1016/j.apm.2014.11.056
- Karama, M., Afaq, K.S., Mistou, S. (2003) Mechanical Behaviour of Laminated Composite Beam by the New Multi-layered Laminated Composite Structures Model with Transverse Shear Stress Continuity, Int. J. Solids & Struct., 40, pp.1525-1546. https://doi.org/10.1016/S0020-7683(02)00647-9
- Lee, W.H., Han, S.C., Park, W.T. (2008) Bending, Vibration and Buckling Analysis of Functionally Graded Material Plates, J. Korea Academic-Industrial coop. Soc., 9(4), pp.1043-1049. https://doi.org/10.5762/KAIS.2008.9.4.1043
- Lee, W.H., Han, S.C., Park, W.T. (2015) A Study of Dynamic Instability for Sigmoid Functionally Graded Material Plates on Elastic Foundation, J. Comput. Struct. Eng. Inst.Korea, 28(1), pp.85-92. https://doi.org/10.7734/COSEIK.2015.28.1.85
- Lu, C.F., Lim, C.W., Chen, W.Q. (2009) Exact Solutions for Free Vibrations of Functionally Graded Thick Plates on Elastic Foundations, Mech. Adv. Mater. & Struct., 16, pp.576-584. https://doi.org/10.1080/15376490903138888
- Malekzadeh, P., Monajjemzadeh, S.M. (2013) Dynamic Response of Functionally Graded Plates in Thermal Environment under Moving Load, Compos. Part B: Eng., 45, pp.1521-1533. https://doi.org/10.1016/j.compositesb.2012.09.022
- Malekzadeh, P., Shojaee, M. (2013) Free Vibration of Nanoplates based on a Nonlocal Two-variable Refined Plate Theory, Compos. Struct., 95, pp.443-452. https://doi.org/10.1016/j.compstruct.2012.07.006
- Mantari, J.L., Guedes Soares, C. (2014) Optimized Sinusoidal Higher Order Shear Deformation Theory for the Analysis of Functionally Graded Plates and Shells, Compos. Part B: Eng., 56, pp.126-136. https://doi.org/10.1016/j.compositesb.2013.07.027
- Matsunaga, H. (2008) Free Vibration and Stability of Functionally Graded Plates according to a 2-D Higher-order Deformation Theory, Compos. Struct., 82, pp.499-512. https://doi.org/10.1016/j.compstruct.2007.01.030
- Mechab, I., Mechab, B., Benaissa, S. (2013) Static and Dynamic Analysis of Functionally Graded Plates using Four-variable Refined Plate Theory by the New Function, Compos. Part B: Eng., 45, 748-757. https://doi.org/10.1016/j.compositesb.2012.07.015
- Reddy, J.N. (2000) Analysis of Functionally Graded Plates, Int. J. Numer. Methods Eng., 47, pp.663-684. https://doi.org/10.1002/(SICI)1097-0207(20000110/30)47:1/3<663::AID-NME787>3.0.CO;2-8
- Reddy, J.N. (2007) Theory and Analysis of Elastic Plates and Shells, CRC Press, London.
- Senthilnathan, N.R., Chow, S.T., Lee, K.H., Lim, S.P. (1987) Buckling of Shear-deformable Plates, AIAA J., 25, pp.1268-1271. https://doi.org/10.2514/3.48742
- Shimpi, R.P., Patel, H.G. (2006a) Free Vibrations of Plate using Two Variable Refined Plate Theory, J. Sound & Vib., 296, pp.979-999. https://doi.org/10.1016/j.jsv.2006.03.030
- Shimpi, R.P., Patel, H.G. (2006b) A Two Variable Refined Plate Theory for Orthotropic Plate Analysis, Int. J. Solids & Struct., 43, pp.6783-6799. https://doi.org/10.1016/j.ijsolstr.2006.02.007
- Thai, H.T., Kim, S.E. (2010) Free Vibration of Laminated Composite Plates using Two Variable Refined Plate Theory, Int. J. Mech. Sci., 52, pp.626-633. https://doi.org/10.1016/j.ijmecsci.2010.01.002
- Tran, L.V., Ferreira, A.J.M., Nguyen-Xuan, H. (2013) Isogeometric Analysis of Functionally Graded Plates using Higher-order Shear Deformation Theory, Compos. Part B: Eng., 51, pp.368-383. https://doi.org/10.1016/j.compositesb.2013.02.045
- Zenkour, A.M. (2006) Generalized Shear Deformation Theory for Bending Analysis of Functionally Graded Plates, Appl. Math. Model., 30, pp.67-84. https://doi.org/10.1016/j.apm.2005.03.009