Mathematical model and boundary equilibrium of the cylindrical shell with elastic filling depended by the internal crack

The problem of the boundary equilibrium of the weakened internal crack of a closed elastic-plastic cylindrical shell connected with an elastic filler is reduced to the solution of a system of nonlinear singular integral equations. The solution of the received system is constructed in conjunction with the plasticity conditions of thin shells, the conditions of stress limitations and the conditions of uniqueness of displacements. The influence of elastic medium, geometric and elastic parameters on the crack opening and the sizes of plastic zones is investigated.