The problem of elastic-plastic longitudinal and transverse bending layered reinforced plates of variable thickness at thermopower loading. A qualitative analysis of the problem and the path of its linearization. Specific calculations of single-layer and three-layer plates matallokompozitnyh transverse and longitudinal and transverse bending showed that the bearing capacity of plates in the elastoplastic deformation at times (sometimes an order of magnitude) higher than in the elastic; heating plates drastically reduces their resistance to bending in the elastic deformation and not significantly affect the resistance to bending under elastoplastic deformation; further increase the load-bearing capacity of plates in the thermal elasticoplastic can bend the diversity bearing reinforced layers.