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Lorentz, Eric; Cuvilliez, S.; Kazymyrenko, K.

Convergence of a gradient damage model toward a cohesive zone model. (English) Zbl 1405.74031

C. R., Méc., Acad. Sci. Paris 339, No. 1, 20-26 (2011).
Summary: 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.

Cited in 24 Documents

MSC:

74R05 Brittle damage
74G05 Explicit solutions of equilibrium problems in solid mechanics

Keywords:

gradient constitutive law; stiffness function; closed-form solution; uniaxial tension

Software:

Code_Aster
Cite Review PDF
Full Text: DOI

References:

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