Thermo-mechanical fracture analysis of porous functionally graded cracked plate using XFEM

Abstract

This study presents a thermo-mechanical fracture analysis of porous functionally graded cracked plates using the extended finite element method. Three types of functionally graded cracked plates with two different types of porosity distributions, namely homogeneous and nonhomogeneous, are considered in this investigation. Specifically, edge and center-cracked porous functionally graded material plates are analyzed to determine the stress intensity factors. Thermo-mechanical loading conditions are considered to simulate the effects of temperature gradients and mechanical stresses on cracked plates. The analysis aims to investigate the influence of the crack length, crack location, porosity distribution, porosity volume fraction, crack angle, and material gradient on the SIF values. The results of the study provide valuable insights into the behavior of functionally graded cracked plates with different porosity distributions. The findings contribute to the understanding of the mechanical response of such plates under thermo-mechanical loading conditions and can aid in the design and optimization of structures made from functionally graded porous materials.