Thermal elastic bending of a circular three-layer plate, associated with the Pasternak foundation

An axisymmetric bending of an elastic three-layer circular plate connected to the Pasternak foundation is considered. The effect of the temperature field is taken into account. To describe the kinematics of a plate package asymmetric in thickness, the hypothesis of a broken normal is accepted. The statement of the problem and its solution are carried out in a cylindrical coordinate system. The system of equilibrium equations was obtained using the Lagrange variational method. Its general analytical solution is written out in displacements. A numerical parametric analysis of the stress-strain state of a three-layer metal-polymer plate under a uniformly distributed load has been carried out. The significant influence of temperature on the stresses in the layers is shown.