Shape Optimization of Bi-Material Bonded Joint Based on Particle Swarm Algorithm

Abstract

In this paper, interface of bi-material has been optimized using ANSYS parametric Design Language (APDL) in order to reduce the stress concentration without stress singularity. In this code, Particle swarm algorithm has been used as an optimization algorithm. The present approach is consisted of two steps: first, the minimum critical angle where stress singularity occurs is determined using characteristic equation; second, geometrical modelling of bi-material interface edge is done using Bezier curve. The results show that with constant Poisson’s ratio, stress concentration decreases by increasing the ratio of elastic modulus. Also, with changing the ratio of elastic modulus, the obtained optimum interface is changed. Numerical examples display the stress concentration reduces significantly in computational optimal curve in comparison to traditional circular shapes.