We study the transient response of a thermoelastic structure made of two three-dimensional bodies connected by a thin adhesive layer. Once more we highlight the powerful flexibility of Trotter’s theory of approximation of semi-groups of operators acting on variable spaces: considering the geometrical and physical characteristics of the thin layer as parameters, we are able to show in a unitary way that this situation leads to a huge variety of limit models the properties of which are detailed. In particular, according to the relative behaviors of the different parameters involved, new features are evidenced such as the apparition of an added specific heat coefficient for the interface or of additional thermomechanical state variables defined not only on the limit geometric interface but on its cartesian product by any interval of real numbers.
Accepted:
Published online:
Christian Licht 1, 2, 3; Somsak Orankitjaroen 1, 2; Thibaut Weller 3
CC-BY 4.0
@article{CRMECA_2022__350_G1_27_0,
author = {Christian Licht and Somsak Orankitjaroen and Thibaut Weller},
title = {Asymptotic analysis of the transient response of a thermoelastic assembly involving a thin~layer},
journal = {Comptes Rendus. M\'ecanique},
pages = {27--45},
publisher = {Acad\'emie des sciences, Paris},
volume = {350},
year = {2022},
doi = {10.5802/crmeca.101},
language = {en},
}
TY - JOUR AU - Christian Licht AU - Somsak Orankitjaroen AU - Thibaut Weller TI - Asymptotic analysis of the transient response of a thermoelastic assembly involving a thin layer JO - Comptes Rendus. Mécanique PY - 2022 SP - 27 EP - 45 VL - 350 PB - Académie des sciences, Paris DO - 10.5802/crmeca.101 LA - en ID - CRMECA_2022__350_G1_27_0 ER -
%0 Journal Article %A Christian Licht %A Somsak Orankitjaroen %A Thibaut Weller %T Asymptotic analysis of the transient response of a thermoelastic assembly involving a thin layer %J Comptes Rendus. Mécanique %D 2022 %P 27-45 %V 350 %I Académie des sciences, Paris %R 10.5802/crmeca.101 %G en %F CRMECA_2022__350_G1_27_0
Christian Licht; Somsak Orankitjaroen; Thibaut Weller. Asymptotic analysis of the transient response of a thermoelastic assembly involving a thin layer. Comptes Rendus. Mécanique, Volume 350 (2022), pp. 27-45. doi : 10.5802/crmeca.101. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.101/
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