Kirichok T. Two-dimensional thermoelasticity problems under dynamic loads

This thesis is devoted to the solution of two-dimensional boundary problems of the coupled thermoelasticity for cylindrical bodies and thin plates under harmonious and pulse loads. The uniform approach to the solution of boundary problems of thermoelasticity for isotropic and anisotropic bodies is offered. It contains: time exclusion by apply of integral transform or wave representations, creation of fundamental solutions of the received system of thermoelasticity, introduction of integral representations of unknown functions (displacements and temperature), receiving resolving system of the integral equations by substitution of integral representations into boundary conditions of the problem. On the basis of received solutions of a problem of harmonious oscillations of limited and unlimited two-dimensional bodies at mechanical and thermal loadings, conditions at which the member of thermomechanical coupling in the equation of heat conduction can be neglected were investigated.