Elastoplastic Deformation in an Orthotropic Spherical Shell Subjected to a Temperature Gradient

Abstract

The objective of this research paper is to present the study of elastoplastic deformation in an orthotropic spherical shell subjected to a temperature gradient by using Seth’s transition theory. Seth’s transition theory includes classical macroscopic solving problems in plasticity, creep and relaxation and assumes semi-empirical yield conditions. The nonlinear transition regions through which yielding occurs are neglected. Apparently, transition theory is used to solve problems in a general way, employing the concept of generalized strain measure and asymptotic solution at the transition points of differential equations. The problems of elastoplastic and creep transitions are solved through principal stress and principal stress difference and in consideration of the nonlinear part of the transition.