Determination of thermal, stiffness and electrical effective tensors in composite media
E P Shurina
1, 2
,
N B Itkina
1
,
N. V. Shtabel
1, 2
,
E.I. Shtanko
2
,
A Y Kutishcheva
1, 2
,
Sergey I. Markov
1, 2
,
D.V. Dobrolubova
2
Publication type: Journal Article
Publication date: 2022-08-01
scimago Q2
wos Q1
SJR: 0.688
CiteScore: 4.8
Impact factor: 2.6
ISSN: 03770427, 0771050X
Computational Mathematics
Applied Mathematics
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.
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Metrics
7
Total citations:
7
Citations from 2024:
1
(14.29%)
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GOST
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Shurina E. P. et al. Determination of thermal, stiffness and electrical effective tensors in composite media // Journal of Computational and Applied Mathematics. 2022. Vol. 409. p. 114009.
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Shurina E. P., Itkina N. B., Shtabel N. V., Shtanko E., Kutishcheva A. Y., Markov S. I., Dobrolubova D. Determination of thermal, stiffness and electrical effective tensors in composite media // Journal of Computational and Applied Mathematics. 2022. Vol. 409. p. 114009.
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RIS
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TY - JOUR
DO - 10.1016/j.cam.2021.114009
UR - https://linkinghub.elsevier.com/retrieve/pii/S0377042721005951
TI - Determination of thermal, stiffness and electrical effective tensors in composite media
T2 - Journal of Computational and Applied Mathematics
AU - Shurina, E P
AU - Itkina, N B
AU - Shtabel, N. V.
AU - Shtanko, E.I.
AU - Kutishcheva, A Y
AU - Markov, Sergey I.
AU - Dobrolubova, D.V.
PY - 2022
DA - 2022/08/01
PB - Elsevier
SP - 114009
VL - 409
SN - 0377-0427
SN - 0771-050X
ER -
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BibTex (up to 50 authors)
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@article{2022_Shurina,
author = {E P Shurina and N B Itkina and N. V. Shtabel and E.I. Shtanko and A Y Kutishcheva and Sergey I. Markov and D.V. Dobrolubova},
title = {Determination of thermal, stiffness and electrical effective tensors in composite media},
journal = {Journal of Computational and Applied Mathematics},
year = {2022},
volume = {409},
publisher = {Elsevier},
month = {aug},
url = {https://linkinghub.elsevier.com/retrieve/pii/S0377042721005951},
pages = {114009},
doi = {10.1016/j.cam.2021.114009}
}