Asymptotic analysis of the transient response of a thermoelastic assembly involving a thin layer
Issued Date
2022-01-01
Resource Type
ISSN
16310721
eISSN
18737234
Scopus ID
2-s2.0-85148740168
Journal Title
Comptes Rendus - Mecanique
Volume
350
Start Page
27
End Page
45
Rights Holder(s)
SCOPUS
Bibliographic Citation
Comptes Rendus - Mecanique Vol.350 (2022) , 27-45
Suggested Citation
Licht C., Orankitjaroen S., Weller T. Asymptotic analysis of the transient response of a thermoelastic assembly involving a thin layer. Comptes Rendus - Mecanique Vol.350 (2022) , 27-45. 45. doi:10.5802/crmeca.101 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/84609
Title
Asymptotic analysis of the transient response of a thermoelastic assembly involving a thin layer
Author(s)
Other Contributor(s)
Abstract
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.