Mathematical Statement of Boundary Conditions for Problems of Three-Dimensional Deformation of Plates

We consider the problem of mathematical statement of boundary conditions on the end surfaces of elastic plates for a model that describes three-dimensional deformation of these bodies. We show that there exist five conditions that have a certain physical meaning and characterize the conditions of fixation of a plate or loading on its end surfaces. We illustrate the results obtained for a circular plate rigidly fixed on its ends and loaded over the lateral surfaces.