Nonlinear Deformation and Branching of the Solutions of Boundary-Value Problems of the Theory of Shells with Delaminations Under External Pressure

Abstract

We consider the structure of branching of the solution of a nonlinear boundary-value problem of the theory of shells in the case of cylindrical shell with delamination area subjected to the action of external pressure. To find the solution, we use the generalized Kantorovich method applied to the analysis of the corresponding boundary-value problem. The complete structure of branching is presented for the solutions of the problem. We establish the existence of branches of the solution both with forms of deformation and joint deformation of the layers and with forms of deformation and separate deformation of the layers in the delamination region.