On derivations of stress field in bi-polar coordinate systems

Abstract

In this paper, stress fields and physical components of strain tensor in bipolar coordinate systems are presented. Expressions convenient for practical use are presented and derived for the corresponding equilibrium equations and the physical components of strain in bi-polar coordinate system. The results obtained in this paper are general, complete and can be useful for a wide range of applications such as, eccentric circular ring, plate with eccentric hole, stress fields around two parallel cylinders, eccentric cylinders, elastic half space with a rigid cylinder etc.