#7095. A coupled fictitious stress method and Eshelby inclusions as a meshless technique for inhomogeneity problems

November 2026publication date
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Journal’s subject area:
Analysis;
Applied Mathematics;
Computational Mathematics;
Engineering (all);
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Abstract:
In this paper, the fictitious stress method (FSM) as a meshless technique is extended to solve problems with inhomogeneities. The Eshelbys 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.
Keywords:
Eigenstrain; Eshelbys equivalent inclusions; Fictitious stress method; Meshless techniques; Particular solution

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