Effect of Porosity on Stability Analysis of Bidirectional FGM Skew Plate via Higher Order Shear Deformation Theory and RBF Approach

Abstract

This research presents a comprehensive stability analysis of bidirectional porous functionally graded material (BPFGM) skew plates with varying porosity distributions, employing Higher Order Shear Deformation Theory (HSDT) and a meshfree approach. To model the complex behavior of the BPFGM skew plates, the material properties are graded in both the thickness and length directions according to a modified power-law distribution, incorporating four distinct porosity distributions. The governing differential equations are derived using the energy principle, incorporating the effects of porosity into the material gradation. These equations are solved using a multiquadric radial basis function (MQ-RBF) based meshfree method, ensuring high accuracy and computational efficiency. The analysis examines the influence of key parameters such as porosity fraction, grading index, skew angle, span-to-thickness ratio, aspect ratio on the stability of the plates. The results highlight the significant impact of porosity on the critical buckling load and mode shapes, providing new insights into the design and optimization of BPFGM skew plates in engineering applications.