Axisymmetric postbuckling analysis of size-dependent functionally graded annular microplates using the physical neutral plane

作者：Ke Liao Liang^*; Yang Jie; Kiti****chai Sritawat; Wang Yue Sheng

来源：International Journal of Engineering Science, 2014, 81: 66-81.

DOI：10.1016/j.ijengsci.2014.04.005

• Microplates
• Functionally graded materials
• Postbuckling
• Modified couple stress theory

This paper investigates the axisymmetric postbuckling of functionally graded material (FGM) annular microplates based on the modified couple stress theory, Mindlin plate theory and von Karman geometric nonlinearity. Material properties are assumed to be graded in the thickness direction according to Mod-Tanaka homogenization method. By using the physical neutral plane, the bending-extension coupling is eliminated in both nonlinear governing equations and boundary conditions of FGM microplates. The differential quadrature (DQ) method is employed to discretise the governing equations, which are then solved to obtain the postbuckling path of FGM microplates with different boundary conditions. Numerical results are presented to highlight the effects of length scale parameter, gradient index, inner-to-outer radius ratio and radius-to-thickness ratio on the postbuckling characteristics of FGM microplates. It is found that FGM microplates do exhibit the bifurcation-type buckling when the applied in-plane compressive load acts along the physical neutral plane.

• 出版日期2014-8
• 单位北京交通大学; 中国地震局工程力学研究所