Specified models in the problems of the deformation of multilayer plates on a rigid foundations

The analysis and estimation of the stress-strain state (SSS) multilayered plates on a rigid foundation under action stationary transverse loading is an urgent task. As its includes calculations strength deformability various homogeneous multilayer coatings. This calculation pavement relatively bridge structures, or non-deformable underlying layer, protective coatings flat elements structures greater rigidity than roofing, parts more. Combining materials with isotropic transversely physical characteristics into package allows you to create multifunctional structures. SSS such due their structural heterogeneity low stiffness individual layers, significantly associated influence shear deformations compression deformations. Therefore, problem refined modeling plates, which would take account these types deformations, urgent. Based decomposition plate flexural unflexuralcomponents, it proposed optimize design scheme deformation rectangular foundation. essence optimization consider plate, in be fully described by only one component, namely unflexural component SSS. To do this, instead actual deformed without separation from foundation, formed symmetrical completion relative contact surface In this case, will bilaterally symmetrically loaded middle thickness double. unflexural, greatly simplifies modeling. For SSS, two-dimensional, high-degree iterative approximation, but three-dimensional models transverse-isotropic layers are constructed elastic formulation.That takes full deformationof transverseshearand at plate. By solving test problems sliding comparing solutions exact obtained known methods, accuracy estimated.The limits admissible parameters for application offered established.