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.
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