Virtual Elements for computational anisotropic crystal plasticity

verfasst von
Christoph Böhm, Lukas Munk, Blaž Hudobivnik, Fadi Aldakheel, Jože Korelc, Peter Wriggers
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.

Organisationseinheit(en)
Institut für Kontinuumsmechanik
PhoenixD: Simulation, Fabrikation und Anwendung optischer Systeme
Externe Organisation(en)
Technische Universität Dresden
Swansea University
University of Ljubljana
Typ
Artikel
Journal
Computer Methods in Applied Mechanics and Engineering
Band
405
ISSN
0045-7825
Publikationsdatum
15.02.2023
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Numerische Mechanik, Werkstoffmechanik, Maschinenbau, Physik und Astronomie (insg.), Angewandte Informatik
Elektronische Version(en)
https://doi.org/10.1016/j.cma.2022.115835 (Zugang: Geschlossen)
 

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