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.
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Bibliography
Sadd MH (2002) Elasticity: theory, applications and numerics. Academic Press, An imprint of Elsevier
Arfken GB (2011) Mathematical methods for physicists, 6th edn. Academic Press, San Diego
Chou PC, Pagano NJ (1967) Elasticity: tensor, dyadic and engineering approaches. Dover Publications, Inc., New York
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Desai, P., Kant, T. (2015). On Derivations of Stress Field in Bi-polar Coordinate Systems. In: Matsagar, V. (eds) Advances in Structural Engineering. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2190-6_19
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DOI: https://doi.org/10.1007/978-81-322-2190-6_19
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Publisher Name: Springer, New Delhi
Print ISBN: 978-81-322-2189-0
Online ISBN: 978-81-322-2190-6
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