A successive approximation method for thermo-elasto-plastic analysis of a reinforced functionally graded rotating disc

Thermo-elasto-plastic analysis of a rotating disc made of Functionally Graded Materials (FGMs) is studied in this paper using Successive Approximation Method (SAM). The plane stress condition is assumed for formulation of the problem. After computation of effective material properties based on modified mixture rule, the governing equations are derived analytically and then is solved using the Differential Quadratic Method (DQM). After obtaining the displacements and stresses, the yield conditions are calculated by von-Mises failure criteria. The rotating disc is made of an Aluminum-Silicon Carbide functionally graded material. The plastic behavior of Aluminum is considered as strain hardening one. The effects of angular speed, percentage of ceramic particles, particle reinforcement power, and boundary conditions such as temperature gradient on the radial and tangential thermo-elasto-plastic strains, stresses, and equivalent stresses is investigated. The results show that the radial stresses through the disc are significantly less than tangential stresses, therefor the tangential stresses has a significant effect on the equivalent stress and yield conditions.

Automated summary

This paper investigates the thermo-elasto-plastic analysis of a rotating disc made of Functionally Graded Materials using the Successive Approximation Method. The study focuses on an Aluminum-Silicon Carbide functionally graded material disc, with findings indicating that tangential stresses have a significant effect on equivalent stress and yield conditions.