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arXiv · 2311.15918

A comparative study of micromorphic gradient-extensions for anisotropic damage at finite strains

Tim van der Velden·Tim Brepols·Stefanie Reese·Hagen Holthusen
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Abstract

Modern inelastic material model formulations rely on the use of tensor-valued internal variables. When inelastic phenomena include softening, simulations of the former are prone to localization. Thus, an accurate regularization of the tensor-valued internal variables is essential to obtain physically correct results. Here, we focus on the regularization of anisotropic damage at finite strains. Thus, a flexible anisotropic damage model with isotropic, kinematic, and distortional hardening is equipped with three gradient-extensions using a full and two reduced regularizations of the damage tensor. Theoretical and numerical comparisons of the three gradient-extensions yield excellent agreement between the full and the reduced regularization based on a volumetric-deviatoric regularization using only two nonlocal degrees of freedom.

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Tim van der Velden, Tim Brepols, Stefanie Reese, Hagen Holthusen. 2023-11-27. A comparative study of micromorphic gradient-extensions for anisotropic damage at finite strains. https://doi.org/10.1002/nme.7580

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