boundary value problem, periodic solutions of Faylon – Ribere, semi strip, method of initial functions, inverse method.

The periodic solutions (in the trigonometric series) for the boundary value problems of elasticity theory for the semi strip in the case of symmetric and inversely symmetric deformations are given. The solutions are constructed for two possible types of prolongations in the half-plane: 1) in the longitudinal sides of semi strip transverse displacements and shear stresses are equal to zero; 2) in the longitudinal sides of semi strip longitudinal displacements and normal stresses are equal to zero. Two approaches are considered: traditional method of solving and the solving in terms of initial functions, specifically, inverse method. In the case when on the and face of the semi strip the concentrated loads, represented by delta-functions (normal or tangential concentrated loads) or its first derivative (concentrated bending moment, concentrated shear dipole) are given, the series can be express through elementary functions. Some features of the problems resolving are expanded.

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