An improved peridynamic approach for fatigue analysis of two dimensional functionally graded materials

Abstract

This study investigates the fatigue behavior of functionally graded materials (FGMs) within an enhanced peridynamic (PD) framework that eliminates the need for surface and volume correction factors. FGMs offer mechanical advantages by varying material compositions and properties in one or more directions. The distribution of mechanical properties in FGMs is achieved by employing a power law. Comparative analysis is conducted between the PD predictions for reaction forces and outcomes obtained from the reference solutions for a quasi-static problem. Minimal divergence is observed between the PD and reference solutions, affirming the accuracy of the present PD formulation. Furthermore, the PD fatigue results for a Mode I Compact Tension (CT) specimen problem match the experimental findings. An experimental stop-hole problem is used to evaluate the accuracy of the PD fatigue code in mixed-mode circumstances. The load cycle determination is achieved via ABAQUS Computational Finite Element Method (CFEM) for the mixed mode problem. There is a good correlation between CFEM and the present PD outcomes. Furthermore, the effect of stop-hole existence on fatigue life in mixed mode is examined, revealing a significant retardation effect. Notably, this study adds a novel perspective by using the PD approach to investigate the fatigue analysis of FGMs and examine the impact of the stop hole on fatigue life- a component previously unexplored in the existing literature.