The bending of an elastic-plastic three-layer circular plate under alternating loading by an axisymmetric ring load is investigated. The effect of the temperature field is taken into account. The plate package is asymmetrical in thickness. It is assumed that its deformation obeys the polyline hypothesis. The outer bearing layers are assumed to be thin, and Kirchhoff’s hypotheses are valid for them. The materials of the bearing layers are elastic-plastic. In a thicker rigid filler, Timoshenko’s hypothesis about the straightness and incompressibility of the deformed normal is fulfilled. The change in radial displacements is assumed to be linear in the thickness of the layer. The filler material is non-linearly elastic. The plate is assumed to be thermally insulated at the end and the outer surface of the lower bearing layer. The heat flow incident perpendicular to the upper layer creates a temperature field in the plate. The formula for its calculation is obtained by averaging the thermophysical characteristics of the materials of the layers over the thickness of the package. The influence of temperature on the elastic and plastic characteristics of the materials of the plate layers is taken into account. The Lagrange variational method is used to derive differential equations of equilibrium under primary loading of the plate. The work of tangential stresses in the filler in the tangential direction is taken into account. Boundary conditions are formulated on the contour of the plate. The case of an annular uniformly distributed load is considered. To solve the corresponding boundary value problem, an approximate method based on the Ilyushin method of elastic solutions is applied. The resulting iterative analytical solution is written out in Bessel functions. The iterative analytical solution is written out in Bessel functions. In case of repeated alternating loading, Moskvitin’s theory of alternating loading was used. The hardening of the material of the bearing layers is taken into account. For the obtained analytical solutions, a numerical analysis of the dependence on the physical equations of state, temperature, and boundary conditions is carried out.