Thermoelasticity of Anisotropic Bimaterial Solids with Contact Thermal Resistance of the Interface Between Their Components and Thin Inclusions

Abstract

We use the extended Stroh formalism and the theory of functions of complex variable to construct Somigliana-type integral relations and the corresponding equations for thermoelastic anisotropic bimaterial solids with imperfect thermal contact on the rectilinear interface between their components. Applying the mathematical model of thin deformable thermally insulated inclusion and the obtained integral relations, we solve the thermoelasticity problem for a finite anisotropic bimaterial solid containing a thin inhomogeneity with regard for the thermal resistance on the interface between the main components of the materials.