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Article Dans Une Revue Journal of Computational Physics Année : 2014

Numerical simulation of a class of models that combine several mechanisms of dissipation: fracture, plasticity, viscous dissipation

Eric Bonnetier
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Stéphane Labbé
Anne Replumaz

Résumé

We study a class of time evolution models that contain dissipation mechanisms exhibited by geophysical materials during deformation: plasticity, viscous dissipation and fracture. We formally prove that they satisfy a Clausius-Duhem type inequality. We describe a semi-discrete time evolution associated with these models, and report numerical 1D and 2D traction experiments, that illustrate that several dissipation regimes can indeed take place during the deformation. Finally, we report 2D numerical simulation of an experiment by Peltzer and Tapponnier, who studied the indentation of a layer of plasticine as an analogue model for geological materials.
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Dates et versions

hal-00995663 , version 1 (26-05-2014)

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Eric Bonnetier, Lukas Jakabcin, Stéphane Labbé, Anne Replumaz. Numerical simulation of a class of models that combine several mechanisms of dissipation: fracture, plasticity, viscous dissipation. Journal of Computational Physics, 2014, 271, pp.397-414. ⟨10.1016/j.jcp.2014.03.044⟩. ⟨hal-00995663⟩
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