Analysis of Elliptical Ring by Using Laurent Series Expansion of Complex Stress Functions

Abstract

Elliptical ring subjected to arbitrary load has not been studied until now, although the solution for circular ring is easy to obtain. The analysis of elliptical ring enclosed by conforcal two elliptical boundaries is much complicated. In this paper, the general solutions of isotropic elliptical ring for stresses and displacements are obtained by the method of Laurent series expansion of complex stress functions and some numerical examples are shown. The accuracy and the rate of convergence of the present method are then discussed based on these solutions.