On dissipative effects in thermo-electrically coupled systems : Hill–Mandel-type homogenisation, asymptotic expansions and two-scale convergence
(2026) In Journal of the Mechanics and Physics of Solids 208.- Abstract
Accurately predicting the macroscopic behaviour of heterogeneous materials, particularly in thermo-electrically coupled systems, remains a challenging problem in materials science and engineering. Against this background, this study presents a comprehensive framework for the homogenisation of electrical conductors subject to strongly coupled thermo-electrical processes in (quasi-)stationary settings, with particular focus lying on Joule heating and temperature-dependent electrical conductivities. The proposed methodology combines analytical homogenisation, asymptotic expansions and Hill–Mandel-type multiscale techniques. In doing so, both, a natural physical interpretation and a rigorous mathematical justification of the governing set... (More)
Accurately predicting the macroscopic behaviour of heterogeneous materials, particularly in thermo-electrically coupled systems, remains a challenging problem in materials science and engineering. Against this background, this study presents a comprehensive framework for the homogenisation of electrical conductors subject to strongly coupled thermo-electrical processes in (quasi-)stationary settings, with particular focus lying on Joule heating and temperature-dependent electrical conductivities. The proposed methodology combines analytical homogenisation, asymptotic expansions and Hill–Mandel-type multiscale techniques. In doing so, both, a natural physical interpretation and a rigorous mathematical justification of the governing set of effective macroscopic field equations are provided. Representative boundary value problems in two- and three dimensional settings are eventually studied to validate the effectiveness of these methods in capturing the complex behaviour of heterogeneous thermo-electric materials.
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- author
- Güzel, D. ; Wiedemann, D. ; Kaiser, T. and Menzel, A. LU
- organization
- publishing date
- 2026-02
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Asymptotic analysis, Hill–Mandel lemma, Homogenisation, Joule heating, Thermo-electric conductors, Two-scale convergence
- in
- Journal of the Mechanics and Physics of Solids
- volume
- 208
- article number
- 106427
- pages
- 23 pages
- publisher
- Elsevier
- external identifiers
-
- scopus:105023823696
- ISSN
- 0022-5096
- DOI
- 10.1016/j.jmps.2025.106427
- language
- English
- LU publication?
- yes
- additional info
- Publisher Copyright: © 2025 The Authors
- id
- 3801a903-9bff-4ca6-9138-ae1f20b336aa
- date added to LUP
- 2026-01-20 13:47:46
- date last changed
- 2026-01-27 15:53:42
@article{3801a903-9bff-4ca6-9138-ae1f20b336aa,
abstract = {{<p>Accurately predicting the macroscopic behaviour of heterogeneous materials, particularly in thermo-electrically coupled systems, remains a challenging problem in materials science and engineering. Against this background, this study presents a comprehensive framework for the homogenisation of electrical conductors subject to strongly coupled thermo-electrical processes in (quasi-)stationary settings, with particular focus lying on Joule heating and temperature-dependent electrical conductivities. The proposed methodology combines analytical homogenisation, asymptotic expansions and Hill–Mandel-type multiscale techniques. In doing so, both, a natural physical interpretation and a rigorous mathematical justification of the governing set of effective macroscopic field equations are provided. Representative boundary value problems in two- and three dimensional settings are eventually studied to validate the effectiveness of these methods in capturing the complex behaviour of heterogeneous thermo-electric materials.</p>}},
author = {{Güzel, D. and Wiedemann, D. and Kaiser, T. and Menzel, A.}},
issn = {{0022-5096}},
keywords = {{Asymptotic analysis; Hill–Mandel lemma; Homogenisation; Joule heating; Thermo-electric conductors; Two-scale convergence}},
language = {{eng}},
publisher = {{Elsevier}},
series = {{Journal of the Mechanics and Physics of Solids}},
title = {{On dissipative effects in thermo-electrically coupled systems : Hill–Mandel-type homogenisation, asymptotic expansions and two-scale convergence}},
url = {{http://dx.doi.org/10.1016/j.jmps.2025.106427}},
doi = {{10.1016/j.jmps.2025.106427}},
volume = {{208}},
year = {{2026}},
}