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A unified approach to the solution of plane problems of Magneto-elasticity with special reference to a hole in a thin infinite conducting plate

Chakrabarti, A and Amarnath, A (1973) A unified approach to the solution of plane problems of Magneto-elasticity with special reference to a hole in a thin infinite conducting plate. In: Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), 53 (4). 233 -239.

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Official URL: http://www3.interscience.wiley.com/journal/1134861...

Abstract

Under certain specific assumption it has been observed that the basic equations of magneto-elasticity in the case of plane deformation lead to a biharmonic equation, as in the case of the classical plane theory of elasticity. The method of solving boundary value problems has been properly modified and a unified approach in solving such problems has been suggested with special reference to problems relating thin infinite plates with a hole. Closed form expressions have been obtained for the stresses due to a uniform magnetic field present in the plane of deformation of a thin infinite conducting plate with a circular hole, the plate being deformed by a tension acting parallel to the direction of the magnetic field.

Item Type: Journal Article
Additional Information: Copy right of this article belongs to John Wiley and Sons
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 05 Jan 2010 10:16
Last Modified: 05 Jan 2010 10:16
URI: http://eprints.iisc.ernet.in/id/eprint/23187

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