On Derivations of Stress Field in Bi-polar Coordinate Systems

  • Payal Desai
  • Tarun Kant
Conference paper


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.


Bi-polar coordinates Eccentric cylinders Orthogonal curvilinear coordinates 


  1. 1.
    Sadd MH (2002) Elasticity: theory, applications and numerics. Academic Press, An imprint of ElsevierGoogle Scholar
  2. 2.
    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

Personalised recommendations