Abstract:

Elastoplastic within the framework of the theory of small elastoplastic deformations considered one class of simple variables local loading of sandwich bars rectangular transverse-cross section with elastoplastic bearing layers and physically nonlinear elastic fillers, for which indicated the possibility of constructing a solution of the boundary value problem under repeated loading, if you know the solution during loading from the natural, consisting of (hypothesis of Moskvitin). To describe the kinematics of asymmetrical thickness rod package adopted by the broken normal hypothesis. The equilibrium equations are derived using the Variational method of Lagrange, take into account the work of the filler in the tangential direction. Analytic solutions of problems of the theory of small elastic deformations during the forward and backward on-laden obtained by the method of elastic solutions of Ilyushin. The numerical analysis of the solutions is given.

Keywords: second local loading, plasticity, three-layer beam