Elastoplastic Stress Study in Thick-Walled Spherical Vessels Considering Finite Deformation

An exact elasto-plastic analytical solution for large-strained internal pressurized thick-walled spherical vessels made of elastic-linear and nonlinear hardening material is derived in this paper. This solution is based on the notion of finite strains, the deformation theory of Hencky and the yield criteria of von Mises and Tresca. Nolinear elastic solution of an axisymetric boundary value problem is used as a basis to generate its inelastic solution, whereas the Hyper-elastic constitutive equation is invoked to represent the material response in the elastic region. This method treats the material parameters as field variables. Their distributions are obtained in an iterative manner using Nuber’s rule. Obtained Results for stress distribution using the present method shown are in excellent agreement with only analytical result which has been determined in the case of isochoric volume.