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Dr. Mohamed Ahmed Kamal Abd-El-Khalik Ahmed Soliman :: Publications: |
Title: | A coupled fictitious stress method and Eshelby inclusions as a meshless technique for inhomogeneity problems |
Authors: | M. A. Kamal; Youssef F. Rashed |
Year: | 2022 |
Keywords: | Meshless techniques; Fictitious stress method; Eigenstrain; Eshelby’s equivalent inclusions; Particular solution |
Journal: | Engineering Analysis with Boundary Elements |
Volume: | 134 |
Issue: | 6 |
Pages: | 117-138 |
Publisher: | Elsevier |
Local/International: | International |
Paper Link: | |
Full paper | Not Available |
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. |