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Bulletin of Pure & Applied Sciences- Mathematics and Statistics
Year : 2010, Volume : 29e, Issue : 1
First page : ( 13) Last page : ( 21)
Print ISSN : 0970-6577. Online ISSN : 2320-3226.

An inverse transient thermoelastic problem of solid sphere

Ghonge Badrinath E.*, Ghadle Kirtiwant P.**

Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Auragabad -431004, Maharashtra State, India

*Email: badrighonge@gmail.com

**Email: drkp.ghadle@gmail.com

Mathematical Subject Classifications: 35A25, 74M99, 74K20

Online published on 22 February, 2013.

Abstract

The present paper is concerned with an inverse transient thermoelastic problem in which we need to determine the unknown temperature, radial displacement and stress function on outer curve surface of a solid sphere when temperature is known at interior under consideration and initially is kept at zero. The governing heat conduction equation has been solved by using Laplace transform technique. The results are obtained in a series form of trigonometric functions. The results for temperature, radial displacement and stresses have been computed numerically and illustrated graphically.

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Keywords

Inverse trasient, Thermoelastic problem, Solid sphere, Thermal stresses.

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