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Generalized Two Temperatures Thermoelasticity of Micropolar Porous Circular Plate with Three Phase Lag Model

Published online by Cambridge University Press:  24 August 2017

R. Kumar ,
A. Miglani  and
R. Rani
R. Kumar*
Affiliation:
Department of MathematicsKurukhsetra UniversityKurukshetra, India
A. Miglani
Affiliation:
Department of MathematicsChoudhary Devilal UniversitySirsa, India
R. Rani
Affiliation:
Department of MathematicsChoudhary Devilal UniversitySirsa, India
*
*Corresponding author ([email protected])
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Abstract

The present study is to focus on the two dimensional problem of micropolar porous circular plate with three phase lag model within the context of two temperatures generalized thermoelasticity theory. The problem is solved by applying Laplace and Hankel transforms after using potential functions. The expressions of displacements, microrotation, volume fraction field, temperature distribution and stresses are obtained in the transformed domain. To show the utility of the approach, normal force and thermal source are taken. The numerical inversion techniques of transforms have been carried out in order to evaluate the resulting quantities in the physical domain. Finally, the resulting quantities are depicted graphically to show the effect of porosity, two temperatures and phase lags.

Keywords

Micropolar porousTwo temperature thermoelasticityThree phase lag modelLaplace and Hankel transforms
Type
Research Article
Information
Journal of Mechanics , Volume 34 , Issue 6 , December 2018 , pp. 779 - 789
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2018 

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