On stress concentration analysis of inverse distance weighted function based finite FGM panel with circular hole under biaxial loading

Abstract

PurposeInverse distance weighted (IDW) functions are utilized to make models of heterogenous materials such as functionally graded materials (FGM) in computer aided design (CAD). However, the use of IDW function based FGM for stress concentration reduction is scarcely available in the literature. The present work aims to analyze and reduce the stress concentration around a circular hole in IDW function-based finite FGM panel under biaxial loading.Design/methodology/approachExtended finite element method (XFEM) model was prepared using MATLAB to investigate the effect of geometrical and material parameters on the stress concentration factor (SCF). The obtained results of IDW FGM are compared with homogeneous material as well as two different FGMs based on the power-law function.FindingsIt was observed that the IDW function based FGM is simple in material modeling, conformal with all domain boundaries and shows lower stress concentration in comparison with the homogeneous material case. While comparing IDW FGM with power-law based FGMs, it was observed that the IDW FGM has least values of stress concentration for low d/W (diameter of the hole to panel width ratio) and is comparable with power-law based FGMs for high d/W.Originality/valueIt can be stated that IDW FGM is highly suitable for stress concentration reduction in finite panels with d/W = 0.5, which can further be intended for obtaining optimum hole and panel designs.

Modeling and Stress Analysis of Rounded Rectangular Inclusion Enclosed by FGM Layer

“…The hole interface was modeled by level set function in a nonconformal XFEM mesh. Goyat et al (2022) proposed level set function-based graded FGM for SCF reduction near hole in a finite plate. Yang et al (2021) experimentally investigated the effect of FGM parameters on SCF around hole on the universal testing machine.…”