期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 380, 期 -, 页码 -出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2021.113775
关键词
Computational homogenization; Virtual Element Method (VEM); Microstructure; Electro-magneto-mechanics
资金
- German Research Foundation (DFG, Deutsche Forschungsgemeinschaft) [252662854]
- Italian Ministry of Education, University and Research (MIUR)
- German Research Foundation (DFG) with the cluster of excellence PhoenixD [EXC 2122]
This work presents a study on the computational homogenization of electro-magneto-mechanically coupled problems through the Virtual Element Method (VEM), showing that VEM outperforms FE for all considered materials. Additionally, a hybrid microstructure made up by both electro-mechanical and magneto-mechanical grains is investigated resulting in an electro-magneto-mechanically coupled microstructure where VEM provides a more accurate solution strategy.
This work presents a study on the computational homogenization of electro-magneto-mechanically coupled problems through the Virtual Element Method (VEM). VE-approaches have great potential for the homogenization of the physical properties of heterogeneous polycrystalline microstructures with anisotropic grains. The flexibility in element shapes can be exploited for creating VE-mesh with a significant lower number of degrees of freedom if compared to finite element (FE) meshes, while maintaining a high accuracy. Evidence that VE-approaches outperform FEM is available in the literature, but only addressing purely-mechanic problems (i.e. elastic properties) and transversely anisotropic materials. The aim of this work is twofold. On one hand, the study compares VE-and FE-based numerical homogenization schemes for electro-mechanically coupled problems for different crystal lattice structures and degrees of elastic anisotropy. Within all considered materials, the VEapproach outperforms the FE-approach for the same number of nodes. On the other hand, a hybrid microstructure made up by both electro-mechanical and magneto-mechanical grains is investigated resulting in an electro-magneto-mechanically coupled microstructure. Again, VEM provides a more accurate solution strategy. (C) 2021 Elsevier B.V. All rights reserved.
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