Determination of thermal, stiffness and electrical effective tensors in composite media
Shurina, E. P. 1Itkina, N. B. 2Shtabel, N., V 1Shtanko, E., I 1Kutishcheva, A. Yu 1Markov, S., I 1Dobrolubova, D., V1
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作者信息
1. Russian Acad Sci
2. Novosibirsk State Tech Univ
折叠
Abstract
The paper considers the problem of calculating effective anisotropic thermal, electric and mechanical properties of composite media. We propose numerical algorithms for the homogenization of heterogeneous media based on the upscaling technique and effective medium theory. The algorithms rely on the direct mathematical modelling of thermal conductivity, elastic deformation, and electromagnetic field. We discretize mathematical models using multiscale non-conforming finite element methods. We investigate the effect of the physical properties and the arrangement of the microinclusions on the effective tensors for various types of field excitation. (C) 2021 Published by Elsevier B.V.
Key words
Heterogeneous media/Anisotropic properties/Homogenization/Nonconforming finite element methods/DISCONTINUOUS GALERKIN METHODS/OPTIMIZATION/EQUATIONS
NSTL
Elsevier