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

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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 Eshelby's equivalent inclusion theory is coupled with the FSM… Click to show full abstract

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.

Keywords: fictitious stress; stress method; meshless technique

Journal Title: Engineering Analysis with Boundary Elements
Year Published: 2022

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