On Derivations of Stress Field in Bi-polar Coordinate Systems
In this paper, stress fields and physical components of strain tensor in bi-polar 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.
KeywordsBi-polar coordinates Eccentric cylinders Orthogonal curvilinear coordinates
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