Abstract:
The paper proposes a formulation of the boundary value problem for the bending of a thickness-symmetric
elastoplastic circular five-layer plate with two fillers. The deformation of the inner and outer load-bearing layers is governed by
Kirchhoff's hypotheses. In the relatively thick fillers, Timoshenko’s hypothesis is assumed. The physical state equations
correspond to the theory of small elastoplastic deformations. The system of nonlinear differential equations of plate equilibrium
is obtained with the variational method of Lagrange, taking into account the work of tangential stresses in the fillers. An iterative method based on the Ilyushin method of elastic solutions is proposed to solve this problem. The sought functions are the
deflection of the plate and the relative shear in the fillers.
Keywords:circular five-layer plate, thickness symmetry, elastic-plastic deformation, equations of equilibrium.
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