Elasto-Plastic Stress Analysis in a Tube Made of Isotropic Material and Subjected to Pressure and Mechanical Load

This article deals with the study of elasto-plastic stress distribution in a tube made of isotropic material (say steel/copper) and subjected to uniform pressure and mechanical load. Seth’s transition theory and generalized strain measure are used for finding the governing equation. Mathematical modeling is based on stress –strain relation and equilibrium equation. Analytical solutions are presented thick walled tube made of steel and copper materials. The effects of different pertinent parameters (i.e. load and pressure) are considered for tube made of steel/copper material. The behaviour of stress distribution, and pressure rise are investigated. From the obtained results, it is noticed copper material tube requires higher dimensionless pressure to yield at the internal surface in comparison to steel material. The value of pressure decreases with increasing mechanical loads. By applying mechanical loads, the values of hoop radial stresses are increasing at the external surface of the contraction/extension region of tube. The theoretical results are validated by comparing them with those obtained by Seth after performing some significant calculation examples.