Generalized Thermoelastic Problem of a Thick Circular Plate Subjected to Axisymmetric Heat Supply

Subject Areas : Engineering

J.J Tripathi ¹ , G.D Kedar ² , K.C Deshmukh ³

1 - Department of Mathematics, Dr. Ambedkar College, Deekshabhoomi, Nagpur -440010, Maharashtra, India
2 - Department of Mathematics, R.T.M. Nagpur University, Nagpur-440033, Maharashtra ,India
3 - Department of Mathematics, R.T.M. Nagpur University, Nagpur-440033, Maharashtra ,India

Received: 2016-06-20 Accepted : 2016-08-17 Published : 2016-09-20

Keywords: Axisymmetric, Thermoelasticity, Generalized, Circular, Laplace,

Abstract :

The present work is aimed at analyzing the thermoelastic disturbances in a circular plate of finite thickness and infinite extent subjected to constant initial temperature and axisymmetric heat supply. Integral transform technique is used. Analytic solutions for temperature, displacement and stresses are derived within the context of unified system of equations in generalized thermoelasticity in the Laplace transform domain using potential functions. Inversion of Laplace transforms is done by employing a numerical scheme. Temperature, displacement and stresses developed in the thick circular plate are obtained and illustrated graphically for copper (pure) material.

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