On the stress distribution near a stiffened elliptical opening in a cylindrical shell beyond the elastic limit

Abstract The basic nonlinear relations describing the stress-strain state of flexible thin-walled elements (rods, rings) that stiffen the contour of curvilinear openings in shells with allowance for the plastic deformation of their materials are presented. The Lagrange variation equation is used to...
Ausführliche Beschreibung

Abstract The basic nonlinear relations describing the stress-strain state of flexible thin-walled elements (rods, rings) that stiffen the contour of curvilinear openings in shells with allowance for the plastic deformation of their materials are presented. The Lagrange variation equation is used to obtain sets of nonlinear resolving equations for a shell with a stiffened elliptical opening. Successive-approximation and finite-element methods are used to solve the nonlinear problems. Numerical results are given for an elastoplastic cylindrical shell loaded by an internal pressure of given intensity. The distribution of maximum stresses in the area of an elliptical opening with and without a stiffening ring is analyzed. The data obtained in elastoplastic and linearly elastic formulations of the problem are compared. Ausführliche Beschreibung