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Advances in Materials Science and Engineering
Volume 2014, Article ID 510205, 9 pages
http://dx.doi.org/10.1155/2014/510205
Research Article

A One-Dimensional Thermoelastic Problem due to a Moving Heat Source under Fractional Order Theory of Thermoelasticity

School of Science, Lanzhou University of Technology, Lanzhou 730050, China

Received 14 May 2014; Accepted 28 July 2014; Published 11 August 2014

Academic Editor: Sanjeeviraja Chinnappanadar

Copyright © 2014 Tianhu He and Ying Guo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The dynamic response of a one-dimensional problem for a thermoelastic rod with finite length is investigated in the context of the fractional order theory of thermoelasticity in the present work. The rod is fixed at both ends and subjected to a moving heat source. The fractional order thermoelastic coupled governing equations for the rod are formulated. Laplace transform as well as its numerical inversion is applied to solving the governing equations. The variations of the considered temperature, displacement, and stress in the rod are obtained and demonstrated graphically. The effects of time, velocity of the moving heat source, and fractional order parameter on the distributions of the considered variables are of concern and discussed in detail.