0
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

1

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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2010 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

The temperature distribution at t=0.2

Grahic Jump Location
Figure 2

The stress distribution at t=0.2

Grahic Jump Location
Figure 3

The displacement distribution at t=0.2

Grahic Jump Location
Figure 4

The temperature distribution at x=0.5

Grahic Jump Location
Figure 5

The stress distribution at x=0.5

Grahic Jump Location
Figure 6

The displacement distribution at x=0.5

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In