Lamara Bitsadze
Abstract
The present paper is devoted to construct explicit solutions of the quasi-static boundary value problems (BVPs) of coupled theory of thermoelasticity for a porous elastic sphere and for a space with a spherical cavity. In this research the regular solution of the system of equations for an isotropic porous materials is constructed by means of the elementary (harmonic, bi-harmonic and meta-harmonic) functions. The basic BVPs for a sphere and for a space with a spherical cavity are solved explicitly. The obtained solutions are given by means of the harmonic, bi-harmonic and meta-harmonic functions. For the harmonic functions the Poisson type formulas are obtained. The bi-harmonic and meta-harmonic functions are presented as absolutely and uniformly convergent series.
Keywords
Coupled theory of thermoelasticity for porous materials, Explicit solution, porous sphere, Space with a spherical cavity
