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

Basava-Raju Akula (1) , Vladislav Yastrebov (1) , Julien Vignollet (2) , Georges Cailletaud (1)

1 MAT - Centre des Matériaux
2 Safran Tech

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.

Mots clés: Extended finite element method; Coupling; Mortar method

Domaines: Physique [physics]; Matière Condensée [cond-mat]; Science des matériaux [cond-mat.mtrl-sci]

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⟩