Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An FE-DMN method for the multiscale analysis of thermomechanical
  composites   We extend the FE-DMN method to fully coupled thermomechanical two-scale
simulations of composite materials. In particular, every Gauss point of the
macroscopic finite element model is equipped with a deep material network
(DMN). Such a DMN serves as a high-fidelity surrogate model for full-field
solutions on the microscopic scale of inelastic, non-isothermal constituents.
Building on the homogenization framework of Chatzigeorgiou et al. [Int. J.
Plast, vol. 81, pp. 18--39, 2016], we extend the framework of DMNs to
thermomechanical composites by incorporating the two-way thermomechanical
coupling, i.e., the coupling from the macroscopic onto the microscopic scale
and vice versa, into the framework. We provide details on the efficient
implementation of our approach as a user-material subroutine (UMAT). We
validate our approach on the microscopic scale and show that DMNs predict the
effective stress, the effective dissipation and the change of the macroscopic
absolute temperature with high accuracy. After validation, we demonstrate the
capabilities of our approach on a concurrent thermomechanical two-scale
simulation on the macroscopic component scale.

30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat