Virtual element formulation for isotropic damage

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Original languageEnglish
Pages (from-to)38-48
Number of pages11
JournalFinite Elements in Analysis and Design
Volume144
Early online date8 Mar 2018
Publication statusPublished - May 2018

Abstract

In the paper we present a low-order virtual element formulation for modelling the strain-softening response of quasi-brittle materials. For this purpose, a formulation in two-dimensions is considered, with virtual elements having arbitrary shape. The method is based on minimization of an incremental energy expression, with a novel construction of the stabilization energy for isotropic elasto-damage. A set of numerical examples, illustrating the efficiency of the proposed method, complements the paper.

Keywords

    Isotropic damage, Regularization techniques, Stabilization, VEM

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Cite this

Virtual element formulation for isotropic damage. / De Bellis, Maria Laura; Wriggers, Peter; Hudobivnik, Blaž et al.
In: Finite Elements in Analysis and Design, Vol. 144, 05.2018, p. 38-48.

Research output: Contribution to journalArticleResearchpeer review

De Bellis ML, Wriggers P, Hudobivnik B, Zavarise G. Virtual element formulation for isotropic damage. Finite Elements in Analysis and Design. 2018 May;144:38-48. Epub 2018 Mar 8. doi: 10.5281/zenodo.3709175, 10.1016/j.finel.2018.01.002
De Bellis, Maria Laura ; Wriggers, Peter ; Hudobivnik, Blaž et al. / Virtual element formulation for isotropic damage. In: Finite Elements in Analysis and Design. 2018 ; Vol. 144. pp. 38-48.
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N1 - Funding information: The fourth author's research was supported by the Italian Ministry of Education, University and Research . PRIN 2015. Prot. 2015JW9NJT. This support is gratefully acknowledged. The first author gratefully acknowledges financial support from the Alexander von Humboldt Foundation ( https://www.humboldt-foundation.de/web/home.html )

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