Problems of dynamic thermoelasticity on the basis of an analytical solution of the hyperbolic heat conduction equation

Using the hyperbolic heat conduction equation found from the condition of heat flow relaxation and the temperature gradient in the formula of the Fourier law, an exact analytical solution of the boundary problem of dynamic thermoelasticity for an infinite plate with symmetric boundary conditions of the first kind is obtained. It is shown that stresses change discontinuously in time with a periodic change in their sign at every point of the space. Under a sustained character, the process of changes in stresses occurs in the form of a string fixed at both ends and having kinks (stress jumps) moving along the spatial variable in time.