Simulation of Thermal Stresses in Multiplayer Plates of Non-canonical Shape

Based on the embedding method, the problem of stationary thermoelectricity for multilayer plates of non-canonical shape in the plan is solved under the influence of interlayer heat sources. The solution is presented in analytical form. The plate with constant thickness isotropic layers and various physical properties is considered. The structure of the layer package is arbitrary. Convective heat transfer is considered on the surfaces of the plates. No additional hypotheses are introduced on the temperature distribution. Due to this, the temperature fields obtained to solve the unsteady heat conduction problem are very close to real ones. An improved plate theory is used to describe the behavior of plates. Due to this, the temperature fields obtained from the solution of the unsteady heat conduction problem are very close to the real ones. A comparison of numerical results with the experimental data showed that they agreed. For example, the stressed state of a five-layer glazing of a cockpit canopy under thermal influence is analyzed. The offered method can be implemented in developing aviation and ground transportation de-icing systems.