An Element-Free Galerkin (EFG) Meshless Solution for Static Analysis of FGM Plates Resting on Elastic Foundation

Abstract

An element free Galerkin (EFG) meshless solution method is presented in this paper to illustrate the bending response of FGM plates resting on Winkler–Pasternak elastic foundations. A power law distribution is used to govern the gradation of material properties through the plate thickness. To check the validity of the theory and formulations, the obtained results are compared with the previous results. Comparison studies reveal that the results of the proposed solution method is more accurate and yield faster results than other methods. Parametric studies are performed to show the influences of elastic foundation coefficients and power law index on the deflection of FGM plates. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.