Deformation of the circular three-layer plate with a compressible filler

The problem of symmetric bending of a three-layer elastic plate with a compressible filler asymmetrical in thickness is сonsidered. Kirchhoff's hypotheses are accepted for thin bearing layers. In a relatively thick aggregate, the transverse shear, radial displacements and deflection, which vary linearly in thickness are taken into account. The differential equations of equilibrium in the effort are obtained using the Lagrange variational method. The setting of the boundary value problem in the displacements is given in the cylindrical coordinate system.