Determination of stresses and strains in two-layer mechanically inhomogeneous pipe subjected to internal pressure at elastic plastic loading

Abstract

The stress strain state of two-layer mechanically inhomogeneous pipe subjected to internal pressure at elas-tic plastic loading is analyzed. A mathematical model for the calculation of circumference stress σθ , radial stress σr and strains eθ , er and ez when internal pipe is deformed elasto plastically is presented by the finite element method. A method for determination of the recommended relative thickness s2r of external layer, which insures that elastic properties of external layer exploited to the maximum, is proposed. It is proved that the accuracy of dependencies for stress and strain determination at elastic plastic loading of mechanically inhomogeneous pipe is quite acceptable.