Solution of a quasistatic problem of thermoelasticity for a half space with moving mechanical and thermal load locally distributed on the surface

Abstract

Using the double integral Fourier transformation, we construct solutions of space problems of the theory of elasticity and thermoelasticity for a half space with a locally distributed moving mechanical and thermal load on the surface. The obtained formulas allow one to find displacements and stresses in a half space for a velocity of the load smaller than the velocity of the Rayleigh wave. In the limiting case of the action of a fixed load, the obtained solutions coincide with known ones.