Thermoelastic State of a Thermosensitive Half Space and a Thermosensitive Layer in Contact Under the Conditions of Complex Heat Exchange

We solve a nonstationary problem of heat conduction for thermosensitive half space in contact with layer under the conditions complex exchange medium constant temperature. To construct solution, we use numerical-analytic approach characterized by application version method successive approximations, linearizing parameters, Laplace integral transformation, and its numerical inversion help Prudnikov formula adapted to problems conduction. The thermoelastic state outlined piecewise homogeneous structure is analyzed applying proposed algorithm.