LIMITING EQUILIBRIUM OF A SPHERICAL SHELL NONUNIFORM ACROSS THE THICKNESS AND CONTAINING A SURFACE CRACK

摘要

The problem of limiting equilibrium of an elastoplastic spherical shell nonuiform across the thickness and containing a surface crack is reduced to a system of singular integral equations. The algorithm of numerical solution of this system takes into account the conditions of plasticity of thin shells and the conditions of boundedness of stresses in the vicinity of the crack. The influence of internal pressure and the mechanical parameters of functionally inhomogeneous material on the opening displacement of the surface crack and the length of plastic strips on its continuation is investigated.