LOCAL MODEL OF THE THERMOELASTIC STATE OF A POROUS MATERIAL

In the paper, a local stationary model of thermoelastic state porous material is constructed. The based on uncoupled boundary value problems for equations heat conduction and thermoelasticity space with two spherical cavities. temperature field determined by constant surfaces cavities, which are considered free forces. problem was solved generalized Fourier method (GFM), paper presents its further development certain class problems. For this purpose, systems equally directed coordinates were introduced, origins connected centers work, new set axisymmetric basic solutions Lamé equation sphere constructed addition theorems proved it vector biharmonic in given coordinate systems. GFM formalism made possible to reduce algebraic solvable Fredholm operators l2 under condition that do not intersect. reduction used numerical solution Graphs stresses surface one cavities axis symmetry between at different relative sizes temperatures their heating obtained. obtained results agree those known cavity. convergence verified numerically.