| Autor: |
Böhm, Christoph, Hudobivnik, Blaž, Marino, Michele, Wriggers, Peter |
| Rok vydání: |
2020 |
| Předmět: |
|
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.cma.2021.113775 |
| Popis: |
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 are 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 VE-approach 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 a electro-magneto-mechanically coupled microstructure. Again, VEM provides a more accurate solution strategy. |
| Databáze: |
arXiv |
| Externí odkaz: |
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