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On Derivations of Stress Field in Bi-polar Coordinate Systems

  • Payal Desai
  • Tarun Kant
Conference paper

Abstract

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.

Keywords

Bi-polar coordinates Eccentric cylinders Orthogonal curvilinear coordinates 

Bibliography

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    Sadd MH (2002) Elasticity: theory, applications and numerics. Academic Press, An imprint of ElsevierGoogle Scholar
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    Arfken GB (2011) Mathematical methods for physicists, 6th edn. Academic Press, San DiegoGoogle Scholar
  3. 3.
    Chou PC, Pagano NJ (1967) Elasticity: tensor, dyadic and engineering approaches. Dover Publications, Inc., New YorkGoogle Scholar

Copyright information

© Springer India 2015

Authors and Affiliations

  • Payal Desai
    • 1
  • Tarun Kant
    • 2
  1. 1.School of Engineering and TechnologyNavrachana UniversityVadodaraIndia
  2. 2.Department of Civil EngineeringIndian Institute of Technology (IIT) BombayMumbaiIndia

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