Zhong Zheng, Wu Linzhi, Chen Weiqiu. Progress in the study on mechanics problems of functionally graded materials and structures [J]. Advances in Mechanics, 2010, 40(5): 528―541. (in Chinese)
[3]
Shen H S. Functionally graded materials-nonlinear analysis of plates and shells [M]. London: CRC Press, Taylor & Francis Group, 2009: 1―3.
[4]
Zhang D G, Zhou Y H. A theoretical analysis of FGM plate based on physical neutral surface [J]. Computational Materials Science, 2008, 44(2): 716―720.
Li Shirong, Gao Ying, Zhang Jinghua. Analogous transformation between of static and dynamic solutions of functionally graded material and uniform circular plates [J]. Chinese Journal of Solid Mechanics, 2011, 32(Suppl): 120―125. (in Chinese)
Li Shirong, Gao Ying, Zhang Jinghua. Analogous transformation between natural frequencies of functionally graded plates and homogenous plates [J]. Journal of Lanzhou University of Technology, 2012, 38(2): 158―163. (in Chinese)
[9]
Reddy J N, Wang C M, Kitipomchai S. Axisymmetric bending of functionally graded circular plates [J]. European Journal of Mechanics-A/ Solids, 1999, 18(2): 185―199.
Wang Tiejun, Ma Liansheng Shi Zhaofeng. Analytical solutions for axisymmetric bending of functionally graded circular/annular plates [J]. Acta Mechanica Sinica, 2004, 36(3): 348―353. (in Chinese)
[12]
Croce L D, Venini P. Finite elements for functionally graded Reissner-Mindlin plates [J]. Computer Methods in Applied Mechanics and Engineering, 2004, 193(9/10/11): 705―724.
Li Shirong, Zhang Jinghua, Xu Hua. Linear transformation between the bending solutions of functionally graded and homogenous circular plates [J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(5): 871―877. (in Chinese)
[15]
Ma L S, Wang T J. Relationships between axisymmetric bending and buckling solutions of FGM circular plates based on third-order plate theory and classical theory [J]. International Journal of Solids and Structures, 2004, 41(1): 85―101.
[16]
Sahraee S, Saidi A R. Axisymmetric bending of thick functionally graded plates using fourth-order shear deformation theory [J]. European Journal of Mechanics A/Solids, 2009, 28(5): 974―984.
[17]
Zhong Z, Shang E T. Exact analysis of simply supported functionally graded piezoelectric plates [J]. Journal of Intelligent Material System and Structures, 2005, 16(7/8): 643―651.
Zheng Lei, Zhong Zheng. Exact solution for axisymmetric bending of functionally graded circular plate under elastically supported boundary condition [J]. Journal of Tongji University (Natural Science), 2009, 37(7): 893―897. (in Chinese)
[20]
Wang Y, Xu R Q, Ding H J. Three-dimensional solution of axisymmetric bending of functionally graded circular plates [J]. Composite Structures, 2010, 92(7): 1683―1693.
[21]
Wang Y, Xu R Q, Ding H J. Axisymmetric bending of functionally graded circular magneto-electro-elastic plates [J]. European Journal of Mechanics, 2011, 30(6): 999―1011.
[22]
Abrate S. Free vibration, buckling and static deflections of functionally graded plates [J]. Composites Science and Technology, 2006, 66(14): 2383―2394.
[23]
Abrate S. Functionally graded plates behave like homogenous plates [J]. Composites Part B: Engineering, 2008, 39(1): 151―158.
Xu Hua, Li Shirong. Analogous relationship between the static solutions of functionally graded beams and homogenous beams based on the first-order shear deformation theory [J]. Engineer Mechanics, 2012, 29(4): 161―167. (in Chinese)
[26]
Sallai B O, Tounsi A, Mechab I, et al. A theoretical analysis of flexional bending of Al/Al 2 O 3 S-FGM thick beams [J]. Computational Materials Science, 2009, 44(4): 1344―1350.
[27]
Reddy J N, Wang C M, Lim G T, Ng K H. Bending solutions of Levinson beams and plates in terms of the classical theories [J]. International Journal of Solids and Structures, 2001, 38(26/27): 4701―4720.
