Modeling and Determination of the Nonsteady Thermoelastic State of a Two-Layer Thermosensitive Plate

Abstract

On the basis of a model of thermosensitive bodies, we determine the distribution of the unsteady temperature field and the thermoelastic state caused by this field in a two-layer plate. A solution of the nonlinear nonstationary problem of heat conduction is constructed with the use of the Kirchhoff transformation, the method of linearizing parameter, and the integral Laplace transformation with respect to time. The influence of the temperature dependence of the thermophysical and mechanical characteristics of the materials of layers on the values and nature of the distributions of temperature and thermal stresses caused by this dependence in the plate are numerically analyzed.