Convergence of a gradient damage model toward a cohesive zone model

Eric Lorentz; S. Cuvilliez; K. Kazymyrenko

doi:10.1016/j.crme.2010.10.010

Convergence of a gradient damage model toward a cohesive zone model

Eric Lorentz ^1,² ; S. Cuvilliez ^1,²; K. Kazymyrenko ^1,²

¹ Laboratoire de Mécanique des Structures Industrielles Durables, UMR 2832 CNRS/EDF, 1, avenue Général-de-Gaulle, 92141 Clamart cedex, France
² EDF Research & Development, 1, avenue Général-de-Gaulle, 92141 Clamart cedex, France

Comptes Rendus. Mécanique, Volume 339 (2011) no. 1, pp. 20-26.

Abstract

The study starts from a specific gradient damage model which admits a closed-form solution in the case of uniaxial tension. It enables to separate the parameters of the model between a length scale, characteristic of nonlocal effects, and macroscopic parameters which retain their meaning in a cohesive crack setting. A convergence analysis is performed: the response of a cohesive zone model is retrieved when the length scale goes to zero while keeping the macroscopic parameters constant.

Received: 2010-06-14
Accepted: 2010-10-18
Published online: 2010-11-12

DOI: 10.1016/j.crme.2010.10.010

Mots-clés : Damage, Gradient constitutive laws, Cohesive zone models

Author's affiliations:

Eric Lorentz ^{1, 2}; S. Cuvilliez ^{1, 2}; K. Kazymyrenko ^{1, 2}

¹ Laboratoire de Mécanique des Structures Industrielles Durables, UMR 2832 CNRS/EDF, 1, avenue Général-de-Gaulle, 92141 Clamart cedex, France
² EDF Research & Development, 1, avenue Général-de-Gaulle, 92141 Clamart cedex, France

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     author = {Eric Lorentz and S. Cuvilliez and K. Kazymyrenko},
     title = {Convergence of a gradient damage model toward a cohesive zone model},
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     language = {en},
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Eric Lorentz; S. Cuvilliez; K. Kazymyrenko. Convergence of a gradient damage model toward a cohesive zone model. Comptes Rendus. Mécanique, Volume 339 (2011) no. 1, pp. 20-26. doi : 10.1016/j.crme.2010.10.010. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.10.010/

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