Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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 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.

30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con