THERMOELASTIC PROBLEM FOR A SPACE WITH TWO INCLUSIONS AND HEAT GENERATION

A three-phase stationary axisymmetric thermoelastic system consisting of a matrix and two spherical inclusions with different thermomechanical characteristics is considered. Inclusions are sources of thermal energy, the densities of which are described by harmonic functions. Through the further development of the generalized Fourier method, the problem is reduced to a resolving system that allows a correct and efficient high-precision numerical solution. The analysis of the thermal stress state of the matrix in the vicinity of inclusions and inclusions in their middle for specific phase materials depending on the geometric parameters of the system is given.