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Volume averaging based integration method in the context of XFEM-cohesive zone model coupling

Nikolakopoulos, Konstantinos and Crete, Jean-Philippe and Longère, Patrice Volume averaging based integration method in the context of XFEM-cohesive zone model coupling. (2020) Mechanics Research Communications, 104. 103485. ISSN 0093-6413

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Official URL: https://doi.org/10.1016/j.mechrescom.2020.103485


The main issue of the extended finite element method (XFEM) is the numerical integration of the system of equilibrium equations. Indeed, in order to have a correct displacement jump vector, the integration needs to be achieved on both sides of the discontinuity and thus requires the existence of integration points on both sides of the discontinuity. A volume averaging based integration method is developed in the present work alleviating this constraint and applied to XFEM coupled with cohesive zone model in a three-dimensional formulation. Moreover, unlike other widely used integration methods, the proposed method does not require the a priori knowledge of the position of the discontinuity inside the finite element nor the projection of the state variables.

Item Type:Article
HAL Id:hal-02485656
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Ecole nationale supérieure des Mines d'Albi-Carmaux - IMT Mines Albi (FRANCE)
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > École internationale des sciences du traitement de l'information - EISTI (FRANCE)
Other partners > Ecole Nationale Supérieure de l'Electronique et de ses Applications - ENSEA (France)
French research institutions > ISAE-Supméca – Institut supérieur de mécanique de Paris (FRANCE)
Other partners > Université Paris 8 Vincennes-Saint-Denis (FRANCE)
Laboratory name:
Deposited On:02 Dec 2020 15:52

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