A method is proposed for investigation of the stressed-strained state and limit equilibrium of piecewise-homogeneous thin-walled structural elements with cracks considering plastic strains in the vicinity of cracks. The problem is reduced to a system of singular equations with unknown limits of integration and discontinuous right-hand parts containing the unknown forces and moments in the plastic zone. An algorithm for numerical solution of the systems obtained is developed simultaneously with conditions of plasticity and finiteness of stresses in the vicinity of a crack tip. The influence of geometric and mechanical parameters is investigated for the crack tip opening in the given piecewise-homogeneous element.
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