Deformation of a three-layer circular plate under creep conditions

The analytical solution of the boundary value problem of axisymmetric bending of a circular three-layer plate under creep conditions is obtained using the experimental-theoretical Ilyushin method. The physical equations of state of the hereditary theory of linear viscoelasticity are used. The similarity of the creep cores of the layer materials was assumed. The polyline hypothesis is used to describe the kinematics of a plate package that is not symmetric in thickness. In the bearing layers, the Kirchhoff hypotheses are valid. In a relatively thick placeholder, the Timoshenko hypothesis is accepted. The well-known solution of a similar problem in the theory of elasticity for such a three-layer plate is taken as the initial one. Numerical approbation of the obtained solution is carried out.