MATHEMATICAL MODELING OF THEORY PROBLEMS ELASTICITY BY THE METHOD OF BOUNDARY EQUATIONS

The article describes the features of mathematical modeling of a two-dimensional static problem of elasticity theory by the method of boundary integral equations. The resulting equations make it possible to investigate the stress-strain state of a plane problem under various external influences. As a result of applying the spline approximation of the boundary parameters, the system of integral equations is transformed into a system of linear algebraic equations with unknown displacement and stress components.