Electro-magneto-mechanically response of polycrystalline materials: Computational homogenization via the Virtual Element Method

This work presents a study on the computational homogenization of electro-magneto-mechanically coupled problems through Virtual Element Method (VEM). VE-approaches have great potential for physical properties heterogeneous polycrystalline microstructures with anisotropic grains. The flexibility in element shapes can be exploited creating VE-mesh significant lower number degrees freedom if compared to finite (FE) meshes, while maintaining high accuracy. Evidence that outperform FEM are available literature, but only addressing purely-mechanic (i.e. elastic properties) and transversely materials. aim this is twofold. On one hand, compares VE-and FE-based numerical schemes electro-mechanically different crystal lattice structures anisotropy. Within all considered materials, VE-approach outperforms FE-approach same nodes. other hand hybrid microstructure made up by both electro-mechanical magneto-mechanical grains investigated resulting microstructure. Again, VEM provides more accurate solution strategy.