Explicit solution of one boundary value problem of thermoelasticity for a circle with diffusion, microtemperatures, and microconcentrations

In the present paper, an explicit solution of the Dirichlet BVP for an isotropic circle with diffusion, microtemperatures, and microconcentrations is presented. The general solution of the system of equations for isotropic materials with diffusion, microtemperatures, and microconcentrations by means of elementary (harmonic, bi-harmonic, and meta-harmonic) functions is constructed. The obtained solution of the Dirichlet BVP is presented as absolutely and uniformly convergent series.