Analysis of elasto-plastic deformations of thick cylindrical tubes subject to pressures

This work consist in determining and analyzing analytically the stress and elasto-plastic strain state including the limit state using the theory of Huber-Mises-Henkey and formulating mathematically and solving the problem of determination of shearing lines their graphic representation . The analytical and graphical results show that the stress distribution for both limit plastic state and elastic state are different. At the limit state of plastic deformation the maximum stress perpendicular to the radius is reached at the external points of the tube, therefore it’s possible to conclude that for the elasto-plastic materials the rupture starts from the outside, which is in good agreement with experimental results of the literature. The graphical representation of shearing lines has been obtained by means of a program developed, compiled and executed under Windows in the Visual Basic environment