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A coupled fictitious stress method and Eshelby inclusions as a meshless technique for inhomogeneity problems
Engineering Analysis with Boundary Elements • 2022
Publication Information
Authors
M. A. Kamal; Youssef F. Rashed
Keywords
Meshless techniques; Fictitious stress method; Eigenstrain; Eshelby’s equivalent inclusions; Particular solution
Journal
Engineering Analysis with Boundary Elements
Publisher
Elsevier
Volume
134
Issue
6
Pages
117-138
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
In this paper, the fictitious stress method (FSM) as a meshless technique is extended to solve problems with inhomogeneities. The Eshelby’s equivalent inclusion theory is coupled with the FSM as a set of particular solutions.There is no domain discretization as analytical solutions for inclusions are employed. The coupling
procedure is presented, and the solution is carried out either in a direct or in an iterative approach. Numerical examples are presented to verify accuracy of the developed formulations.
procedure is presented, and the solution is carried out either in a direct or in an iterative approach. Numerical examples are presented to verify accuracy of the developed formulations.