Research Papers: Conduction

Theory of Fractional Order Generalized Thermoelasticity

[+] Author and Article Information
Hamdy M. Youssef1

Department of Mathematics, Faculty of Education, Alexandria University, El-Guish Road, El-Shatby, Alexandria–21526, Egyptyousefanne@yahoo.com


Present address: Faculty of Engineering, Umm Al-Qura University, P.O. Box 5555, Makkah, Saudi Arabia.

J. Heat Transfer 132(6), 061301 (Mar 19, 2010) (7 pages) doi:10.1115/1.4000705 History: Received October 28, 2008; Revised November 24, 2009; Published March 19, 2010; Online March 19, 2010

In this work, a new model of thermoelasticity theory has been constructed in the context of a new consideration of heat conduction with fractional order, and its uniqueness theorem has been approved also. One-dimensional application for a half-space of elastic material, which is thermally shocked, has been solved by using Laplace transform and state-space techniques. According to the numerical results and its graphs, conclusion about the new theory of thermoelasticity has been constructed.

Copyright © 2010 by American Society of Mechanical Engineers
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Figure 6

The displacement distribution at x=0.5

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Figure 5

The stress distribution at x=0.5

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Figure 4

The temperature distribution at x=0.5

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Figure 3

The displacement distribution at t=0.2

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Figure 2

The stress distribution at t=0.2

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Figure 1

The temperature distribution at t=0.2



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