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Domain tying across virtual interfaces : coupling X-FEM with the Mortar method

Abstract : In this paper we propose a unified framework of the mortar domain decomposition method and extended finite element method (X-FEM). This framework allows to deal in an efficient manner with two cumbersome aspects of the finite element methods, namely incompatible interface discretizations and internal discontinuities. Features of mortar methods in the context of mesh tying, and of X-FEM in the context of void/inclusion treatment are exploited to formulate the weak coupling along an inclusion's surface and the virtual surface of the host mesh. It has a potential to address a multitude of problems from accurate substructuring to efficient wear simulation in contact problems.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-01815998
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Submitted on : Thursday, June 14, 2018 - 4:15:39 PM
Last modification on : Thursday, September 24, 2020 - 6:30:08 PM
Long-term archiving on: : Monday, September 17, 2018 - 12:14:06 PM

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  • HAL Id : hal-01815998, version 1

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Basava-Raju Akula, Vladislav Yastrebov, Julien Vignollet, Georges Cailletaud. Domain tying across virtual interfaces : coupling X-FEM with the Mortar method. 13e colloque national en calcul des structures, Université Paris-Saclay, May 2017, Giens, Var, France. ⟨hal-01815998⟩

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