Elastic-Plastic Equilibrium of a Hollow Cylinder from Inhomogeneous Perfectly Plastic Material

Abstract

The paper presents the solution of elastic-plastic problem of the equilibrium of a thick-walled cylindrical shell under the influence of internal and external pressures. We consider a perfectly plastic material, elastic modulus and yield strength which are continuous functions of the radius. It is shown that plastic deformations may occur on both the inner surface of the shell and the inside of its wall. Defined stresses and strains in the elastic and plastic zones, as well the displacements in the shell until fracture.