Asymptotic analysis of the transient response of a thermoelastic assembly involving a thin layer

We study the transient response of a thermoelastic structure made two three-dimensional bodies connected by thin adhesive layer. Once more we highlight powerful flexibility Trotter’s theory approximation semi-groups operators acting on variable spaces: considering geometrical and physical characteristics layer as parameters, are able to show in unitary way that this situation leads huge variety limit models properties which detailed. In particular, according relative behaviors different parameters involved, new features evidenced such apparition an added specific heat coefficient for interface or additional thermomechanical state variables defined not only geometric but its cartesian product any interval real numbers.