Axisymmetric thermal stresses in an elastic hollow cylinder of finite length

Abstract

This article presents a technique for analytic-numerical evaluation of thermal stresses in a finite-length hollow cylinder subject to a steady-state temperature field. Based on the method of direct integration, the formulated thermoelasticity problem is reduced to solving a governing equation for an individual key function, while all the stress-tensor components are expressed through this key function uniquely. An efficient successive algorithm is developed in order to exactly satisfy the boundary conditions including the corner points of the cylinder. The solution allows for the exact analysis of thermal stresses in elastic cylinders with large and small length-to-radii ratios.