The circular three-layer elastic-plastic plate with a compressible filler

The problem of symmetric bending of a three-layer elastic plate with a light compressible filler asymmetrical in thickness is considered. Kirchhoff's hypotheses are accepted for thin bearing layers. In a relatively thick aggregate, the transverse shear, radial displacements and deflection are taken into account, which vary linearly in thickness are taken into account, the work of shear stresses is neglected. The differential equations of equilibrium in the displacements are obtained using the Lagrange variational method. Physical equations of state correspond to the theory of small elastic-plastic deformations of Ilyushin. The formulation and solution of the boundary value problem are given in displacements in a cylindrical coordinate system. Numerical results are presented.