Interface Models in Coupled Thermoelasticity

• Published in: Technologies (Basel) Vol. 9; no. 1; p. 17
• Main Authors: Serpilli, Michele, Dumont, Serge, Rizzoni, Raffaella, Lebon, Frédéric
• Format: Journal Article
• Language: English
• Published: MDPI 01-03-2021; MDPI AG
• Subjects: asymptotic analysis; coupled thermoelasticity; interfaces; Mechanics; Physics; Solid mechanics; asymptotic analysis; interfaces; coupled thermoelasticity
• ISSN: 2227-7080; 2227-7080
• DOI: 10.3390/technologies9010017

This work proposes new interface conditions between the layers of a three-dimensional composite structure in the framework of coupled thermoelasticity. More precisely, the mechanical behavior of two linear isotropic thermoelastic solids, bonded together by a thin layer, constituted of a linear isotropic thermoelastic material, is studied by means of an asymptotic analysis. After defining a small parameter ε, which tends to zero, associated with the thickness and constitutive coefficients of the intermediate layer, two different limit models and their associated limit problems, the so-called soft and hard thermoelastic interface models, are characterized. The asymptotic expansion method is reviewed by taking into account the effect of higher-order terms and defining a generalized thermoelastic interface law which comprises the above aforementioned models, as presented previously. A numerical example is presented to show the efficiency of the proposed methodology, based on a finite element approach developed previously.