Deformation of an Elastic Circular Sandwich Plate in a Neutron Flow

The deformation of an elastic circular three-layer plate with an asymmetric thickness under neutron irradiation is considered. To describe the kinematics of the package, polyline hypotheses are used. In the thin load-carrying layers, Kirchhoff's hypotheses are assumed. In a relatively thick aggregate with an incompressible thickness, the Timoshenko hypothesis of straightness and incompressibility of the deformed normal is employed. The operation of filler in the tangential direction is taken into account, and the corresponding boundary-value problem is formulated. A system of differential equilibrium equations is obtained by the Lagrange variational method, and boundary conditions on the plate contour are formulated. The solution of the boundary-value problem is reduced to finding three desired functions: the deflection, shear, and radial displacement of the median plane of the filler. An inhomogeneous system of ordinary linear differential equations is written for these functions. The boundary conditions prescribed correspond to the spherical support of plate contour, and its numerical parametric analysis is carried out.