Flexural Analysis of Elastically Supported Bidirectional Monel–Zirconia Skew FGM Plate Subjected to Line Load Using Meshless Collocation Technique

Abstract

In the present paper, the meshfree collocation technique is implemented for analyzing the bending behavior of bidirectional porous functionally graded material (BPFGM) plates resting on an elastic foundation in the framework of higher-order shear deformation plate theory (HSDT). The variation of material properties in both the thickness and length directions of skewed BPFGM plates will adhere to a modified power-law distribution, encompassing two different porosity distributions. The Meshless Collocation Technique (MCT) is based on Wendland radial basis functions (WRBF) and is used to discretize the governing differential equations (GDEs) obtained via energy principles. The accuracy and effectiveness of the MCT are verified by comparing the computed results with other numerical solutions reported by many researchers in the literature. Additionally, detailed parametric studies are carried out to investigate the effects of various factors on the flexural responses of BPFGM plates, including the grading index, plate length-to-thickness ratio, elastic foundation, aspect ratio, porosity index, porosity distribution, and the effect of transverse loading. Results demonstrate that the WRBF method can effectively predict the flexural behavior of BPFGM plates under different conditions. Overall, this paragraph provides a brief overview of the study's objectives, methodology, and findings, highlighting the development of a meshfree method based on radial basis functions for analyzing the flexural behavior of BPFGM plates and its effectiveness in predicting the plate's response under various conditions.