In this article we formulate and analyze a class of diffusion PDE models for oscillation systems of coupled–elasticity in 2-D bounded domains. Approximate method in Green-Lindsay formulation with thermal and diffusion relaxation times has been developed. Basic Boundary contact problems for isotropic in homogeneous finite and infinite media with the inclusion of piece wise elastic material in assumptions that surface is sufficiently smooth have been investigated. The tools applied in this development are based on singular integral equations, Laplace transform, the potential method, Green’s Tensors and generalized Fourier series analysis.
Manana Chumburidze, David Lekveishvili, Elza Bitsadze