| publication name | 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 | https://authors.elsevier.com/a/1dvcM3PKjssCT8 |
| Full paper | download |
| 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.