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Viscoplastic regularization of local damage models: revisited

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Abstract

Local damage models are known to produce pathological mesh dependent results. Regularization techniques are therefore mandatory if local damage models are used for academic research or industrial applications. The viscoplastic framework can be used for regularization of local damage models. Despite of the easy implementation of viscoplasticity, this method of regularization did not gain much popularity in comparison to the non-local or gradient damage models. This work is an effort to further explore viscoplastic regularization for quasi-static problems. The focus of this work is on ductile materials. Two different types of strain rate hardening models i.e. the Power law (with a multiplicative strain rate part) and the simplified Bergström van Liempt (with an additive strain rate part) models are used in this study. The modified Lemaitre’s anisotropic damage model with a strain rate dependency was used in this study. It was found that the primary viscoplastic length scale is a function of the hardening and softening (damage) parameters and does not depend upon the prescribed strain rate whereas the secondary length scale is a function of the strain rate. As damage grows, the effective regularization length gradually decreases. When the effective regularization length gets shorter than the element length numerical results become mesh dependent again. This loss of objectivity can not be solved but the effect can be minimized by selecting a very fine mesh or by prescribing high deformation velocities.

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Authors and Affiliations

  1. Materials innovation institute (M2i), P.O. Box 5008, 2600 GA, Delft, The Netherlands

    M. S. Niazi & H. H. Wisselink

  2. Faculty of Engineering Technology, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands

    T. Meinders

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  1. M. S. Niazi
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  2. H. H. Wisselink
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  3. T. Meinders
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Correspondence to M. S. Niazi.

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Niazi, M.S., Wisselink, H.H. & Meinders, T. Viscoplastic regularization of local damage models: revisited. Comput Mech 51, 203–216 (2013). https://doi.org/10.1007/s00466-012-0717-7

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  • DOI: https://doi.org/10.1007/s00466-012-0717-7

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