Thermoelastic Interaction in an Infinite Long Hollow Cylinder with Fractional Heat Conduction Equation

Thermoelastic Interaction in an Infinite Long Hollow Cylinder with Fractional Heat Conduction Equation

Year:    2017

Author:    Ahmed. E. Abouelregal

Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 2 : pp. 378–392

Abstract

In this work, we introduce a mathematical model for the theory of generalized thermoelasticity with fractional heat conduction equation. The presented model will be applied to an infinitely long hollow cylinder whose inner surface is traction free and subjected to a thermal and mechanical shocks, while the external surface is traction free and subjected to a constant heat flux. Some theories of thermoelasticity can extracted as limited cases from our model. Laplace transform methods are utilized to solve the problem and the inverse of the Laplace transform is done numerically using the Fourier expansion techniques. The results for the temperature, the thermal stresses and the displacement components are illustrated graphically for various values of fractional order parameter. Moreover, some particular cases of interest have also been discussed.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.2015.m26

Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 2 : pp. 378–392

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Thermoelasticity fractional calculus hollow cylinder Laplace transform traction free heat flux.

Author Details

Ahmed. E. Abouelregal

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