Deformation Analysis of Elastic-Plastic Two Layer Tubes Subject To Pressure: an Analytical Approach

Abstract

Analytical solutions are obtained for axisymmetric elastic-plastic deformations in tightly fitted concentric tubes with fixed ends subjected to either internal or external pressure. Tresca's yield criterion and its associated flow rule are used to estimate the elastic-plastic response of the assembly. The closed form solutions for all elastic-plastic deformation stages are obtained by assuming linear hardening material behavior. Some numerical examples are handled using the mechanical properties of real engineering materials.