By using the numerical inverse Laplace transform based on modified Prudnikov formula, we construct solution of a nonstationary problem heat conduction for thermally sensitive half space operating in contact with layer under conditions convective exchange medium constant temperature. The thermoelastic state this piecewise homogeneous structure is investigated case where temperature kept surface.

The propagation of magneto-thermoelastic disturbances in an elastic half-space caused by the application of a thermal shock on the stress-free bounding surface in contact with vacuum is investigated. The theory of thermoelasticity III proposed by Green and Naghdi is used to study the interaction between elastic, thermal, and magnetic fields. Small-time approximations of solutions for displaceme...