Post buckling response of functionally graded materials plate subjected to mechanical and thermal loadings with random material properties

作者：Lal Achchhe^*; Jagtap K R; Singh B N

来源：Applied Mathematical Modelling, 2013, 37(5): 2900-2920.

DOI：10.1016/j.apm.2012.06.013

• FGMs plate
• Post buckling
• Thermal and mechanical loading
• Random material properties
• HSDT

In this paper, the second order statistics of post buckling response of functionally graded materials plate (FGM) subjected to mechanical and thermal loading with nonuniform temperature changes subjected to temperature independent (TID) and dependent (TD) material properties is examined. Material properties such as material properties of each constituent's materials, volume fraction index are taken as independent random input variables. The basic formulation is based on higher order shear deformation theory (HSDT) with von-Karman nonlinear kinematic using modified C-0 continuity. A direct iterative based C-0 nonlinear finite element method (FEM) combined with mean centered first order perturbation technique (FOPT) proposed by last two authors for the composite plate is extended for Functionally Graded Materials (FGMs) plate with reasonable accuracy to compute the second order statistics (mean and coefficient of variation) of the post buckling load response of the FGM plates. The effect of random material properties with amplitude ratios, volume fraction index, plate thickness ratios, aspect ratios, boundary conditions and types of loadings subjected to TID and TD material properties are presented through numerical examples. The performance of outlined present approach is validated with the results available in literatures and independent Monte Carlo simulation (MCS).

• 出版日期2013-3-1