Journal
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
Volume 81, Issue -, Pages 66-81Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijengsci.2014.04.005
Keywords
Microplates; Functionally graded materials; Postbuckling; Modified couple stress theory
Categories
Funding
- Australian Research Council [DP130104358]
- National Natural Science Foundation of China [11272040, 11322218]
- Fundamental Research Funds for the Central Universities [2013JBM009]
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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. (C) 2014 Elsevier Ltd. All rights reserved.
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