Abstract
The present work deals with the modeling of interfaces in coupled thermoelasticity by means ofthe asymptotic analysis (see, e.g., [1, 2, 3]). The composite body is constituted by two thermoelastic media (adherents) bonded together by a thin intermediate thermoelastic layer (adhesive).By considering a small parameter ε, associated with the thickness of the adhesive, we applythe asymptotic expansions method to the thermoelastic evolution problem by letting ε tends tozero. We characterize different limit interface laws, considering also the contribution of thehigher order terms of the expansion. The cases of soft (lowly-conduting) and hard (moderatelyconducting) interfaces are considered: the first is derived assuming the constitutive coefficientslinearly depending on the thickness ε; the second considers the material properties independentof ε. By using the approach developed in [4] for multiphysic materials, we also identify a general thermoelastic interface law which comprises the above aforementioned models. Numericalinvestigations are performed in the framework of the finite element method, by comparing theresults obtained by modeling the adhesive as a continuum material (discretized in finite elementseven in the thickness) with the results carried out using the derived interface models.