Non-linear analysis of porous elastically supported FGM plate under various loading

Abstract

In this paper, nonlinear transverse central deflection and stress analysis of a functionally graded porous material (FGPM) are investigated by higher order shear deformation theory (HSDT) based on multiquadrics radial basic function (MQ-RBF) meshfree method under various types of loadings and Elastic foundations. The material property of the FGM plate is assumed to vary in the thickness direction and is estimated through the modified Power law homogenization technique with three types of porosity distribution. The governing differential equations (GDEs) are derived from the energy principle containing the porosity effects with the aid of the von Kármán kinematic assumptions and linearized using quadratic extrapolation technique. Convergence and validation studies have been carried out to demonstrate the stability and efficiency of the present method. Numerical results for various types of load, grading index, porosity distribution, porosity index, different span to thickness ratios, and effect of the foundation have been presented.