Galerkin-Eshelby Meshless Approach to Multiple Inclusion Problem

Abstract

This paper presents a method of computing perturbation fields in a heterogeneous material composed of multiple ellipsoidal inclusions embedded in homogeneous matrix. The work rests on the renowned Eshelby analytical solution to the single inclusion problem. The strain perturbations, arising from this solution, are used as the shape functions in the Galerkin method, which finds the solution as a combination of these functions with minimum potential energy.