International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 3, Pages 595-602
doi:10.1155/S0161171298000829
Transient disturbances in a relaxing thermoelastic half space due to moving internal heat source
Department of Mathematics, Jadavpur University, Calcutta, 700 032, India
Received 5 April 1995; Revised 14 November 1996
Copyright © 1998 Sarbani Chakravorty and Amitava Chakravorty. 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
This paper is concerned with the transient waves created by a line heat source that
suddenly starts moving with a uniform velocity inside a thermoelastic semi-infinite medium with thermal
relaxation of the type of Lord and Shulman. The source moves parallel to the boundary surface which is
traction-free. The problem is reduced to the solution of three differential equations, one involving the
elastic vector potential, and the other two coupled, involving the thermoelastic scalar potential and the
temperature. Using Fourier and Laplace transforms, the solution for the displacements have been
obtained in the transform domain. The displacements have been calculated on the boundary surface for
small time.