Virtual Elements for computational anisotropic crystal plasticity

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Christoph Böhm
  • Lukas Munk
  • Blaž Hudobivnik
  • Fadi Aldakheel
  • Jože Korelc
  • Peter Wriggers

Research Organisations

External Research Organisations

  • Technische Universität Dresden
  • Swansea University
  • University of Ljubljana
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Details

Original languageEnglish
Article number115835
JournalComputer Methods in Applied Mechanics and Engineering
Volume405
Early online date22 Dec 2022
Publication statusPublished - 15 Feb 2023

Abstract

In this contribution, the Virtual Element Method (VEM) with a linear ansatz is applied to a computational crystal plasticity framework in a micro-structural environment. Furthermore, a simple anisotropic energetic contribution, based on invariant-formulations of tensorial deformation measures and structural tensors, is presented for the cubic elastic anisotropy of the underlying crystal structure. The anisotropic elastic formulation recovers the elasticity tensor structure of a cubic material in the limit of small deformations. The authors propose a new stabilization degradation formulation which is purely based on the dissipative response of the problem. Representative examples illustrate the robustness and performance of VEM with regard to locking phenomena in the crystal plasticity framework, when bench-marked against the solutions of classical finite element approaches. Further examples investigate the performance and current limitations of VEM within a crystal plasticity framework, when being applied to heterogeneous microstructures for both, structured element topology as well as flexible element topology.

Keywords

    AceGen, Crystal plasticity, Crystalline microstructure, Cubic anisotropy, Finite deformation, Virtual element method (VEM)

ASJC Scopus subject areas

Cite this

Virtual Elements for computational anisotropic crystal plasticity. / Böhm, Christoph; Munk, Lukas; Hudobivnik, Blaž et al.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 405, 115835, 15.02.2023.

Research output: Contribution to journalArticleResearchpeer review

Böhm C, Munk L, Hudobivnik B, Aldakheel F, Korelc J, Wriggers P. Virtual Elements for computational anisotropic crystal plasticity. Computer Methods in Applied Mechanics and Engineering. 2023 Feb 15;405:115835. Epub 2022 Dec 22. doi: 10.1016/j.cma.2022.115835
Böhm, Christoph ; Munk, Lukas ; Hudobivnik, Blaž et al. / Virtual Elements for computational anisotropic crystal plasticity. In: Computer Methods in Applied Mechanics and Engineering. 2023 ; Vol. 405.
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