We study the overall thermal conductivity of a composite material obtained by inserting in a hosting medium an array of finely mixed inclusions made of perfect heat conductors. The physical properties of this material are useful in applications and are obtained using the periodic unfolding method. The peculiarity of this problem calls for a suitable choice of test functions in the unfolding procedure, which leads to a non-standard variational two-scale problem, that cannot be written in a strong form, as usual.
Homogenization of a heat conduction problem with a total flux boundary condition / Amar, M.; Andreucci, D.; Gianni, R.; Timofte, C.. - (2020), pp. 1475-1487. (Intervento presentato al convegno XXIV Congresso AIMETA - Associazione Italiana Meccanica Teorica e Applicata tenutosi a Roma) [10.1007/978-3-030-41057-5_119].
Homogenization of a heat conduction problem with a total flux boundary condition
M. Amar
;D. Andreucci;
2020
Abstract
We study the overall thermal conductivity of a composite material obtained by inserting in a hosting medium an array of finely mixed inclusions made of perfect heat conductors. The physical properties of this material are useful in applications and are obtained using the periodic unfolding method. The peculiarity of this problem calls for a suitable choice of test functions in the unfolding procedure, which leads to a non-standard variational two-scale problem, that cannot be written in a strong form, as usual.| File | Dimensione | Formato | |
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