Harmatiy H. Analytical-numerical Approaches for Solving of Thermoelasticity Problems for Thermosensitive Bodies at Convective Heat Exchange

Stressed- strained state of the homogeneous and piece-wise homogeneous thermo- sensitive bodies are examined. To develop and approbat of the techniques of constructions of analytical-numerical solutions of nonlinear non-stationary boundary-value heat conduc- tivity problems, which describe heat propagation in bodies with depending on temperature characteristics while convective heat exchange of their surfaces taking into account. Using perturbation method thermoelasticity problem for thermosensitive bodies is reduced to the sequence of boundary-value problems with differential operators of the same type as in the thermoelasticity problems for nonthermosensitive bodies. Using the proposed approach quasistatic thermoelasticity problems are solved for the thermosensitive space with a spheri- cal cavity and system of contacting thermosensitive cylindrical bodies. The numerical analy- sis is carried out. Areas of application: thermopower industry, machine building industry