Vol. 4, No. 9, 2009
Download this article
Download this article For screen
For printing
Recent Issues

Volume 18, 1 issue

Volume 17, 5 issues

Volume 16, 5 issues

Volume 15, 5 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
 
ISSN: 1559-3959
Author Index
To Appear
 
Other MSP Journals
A two-temperature generalized thermoelastic medium subjected to a moving heat source and ramp-type heating: A state-space approach

Hamdy M. Youssef
Vol. 4 (2009), No. 9, 1637–1649
DOI: 10.2140/jomms.2009.4.1637
Abstract

We construct a model of two-temperature generalized thermoelasticity for an elastic half-space with constant elastic parameters. The Laplace transform and state-space techniques are used to obtain the general solution for any set of boundary conditions. The general solution obtained is applied to the specific problem of a half-space subjected to a moving heat source with constant velocity and ramp-type heating. The inverse Laplace transforms are computed numerically. The effects of different values of the heat source velocity, the two-temperature parameter, and the ramping time parameter are compared.

Keywords
generalized thermoelasticity, two-temperature, heat source, ramp type
Milestones
Received: 9 November 2008
Revised: 21 March 2009
Accepted: 25 March 2009
Published: 17 January 2010
Authors
Hamdy M. Youssef
Mathematics Department
Alexandria University
Alexandria
Egypt		 Faculty of Engineering
Umm Al-Qura University
PO Box 5555
Makkah
Saudi Arabia