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Virtual Elements for computational anisotropic crystal plasticity

delete2023-02-01
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PRE
AI
C
Christoph Böhm *
L
Lukas Munk
B
Blaž Hudobivnik
F
Fadi Aldakheel
J
Jože Korelc
P
Peter Wriggers
DOI:10.1016/j.cma.2022.115835delete
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摘要

摘要

En 中文
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 invariantformulations 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. (c) 2022 Elsevier B.V. All rights reserved.
Keyword:
Virtual element method (VEM)
Crystal plasticity
Crystalline microstructure
Finite deformation
Cubic anisotropy
AceGen

期刊

Computer Methods in Applied Mechanics and Engineering 封面图
Computer Methods in Applied Mechanics and Engineering
IF:
7.3
论文数:
1.3W
被引数:
5.6W

机构

L
Leibniz University Hannover
学者数:
1.1W
论文数: 8.5K
被引数: 1.1W
U
University of Ljubljana
学者数:
1.5W
论文数: 1.3W
被引数: 1.7W
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