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

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-02485656
Contributor : Patrice Longère <>
Submitted on : Thursday, December 10, 2020 - 9:55:03 AM
Last modification on : Friday, December 18, 2020 - 8:35:06 AM

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Konstantinos Nikolakopoulos, Jean-Philippe Crété, Patrice Longère. Volume averaging based integration method in the context of XFEM-cohesive zone model coupling. Mechanics Research Communications, Elsevier, 2020, 104, pp.103485. ⟨10.1016/j.mechrescom.2020.103485⟩. ⟨hal-02485656⟩

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