A mechanical and mathematical model of a bending of thick transversally isotropic plates, in which a plate is conditionally divided into an arbitrary number of layers with the same thickness, is proposed. As a result, the problem, of definition of stresses and displacements in a plate is reduced in a certain approximation to solving a relevant contact problem of bending a package of plates. The scheme of the analytical solution of the given problem is investigated. It is expected that the equations of plates' bending must be supplemented by the Helmholtz equations.

• Шопа Василь Михайлович (фізико-математичні науки)

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