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

Keywords: 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},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {20--26},
     year = {2011},
     publisher = {Elsevier},
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     number = {1},
     doi = {10.1016/j.crme.2010.10.010},
     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

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