Analytical Solutions of a Two-Dimensional Generalized Thermoelastic Diffusions Problem Due to Laser Pulse

In this paper, we apply the generalized thermoelastic theory with mass diffusion to a two-dimensional problem for a half-space. The surface of the half-space is taken to be traction-free and heated by laser pulse. The analytical solution is adopted for the temperature, the displacement components, c...

Full description

Saved in:
Bibliographic Details
Published in:Iranian journal of science and technology. Transactions of mechanical engineering 2018-03, Vol.42 (1), p.57-71
Main Authors: Abbas, Ibrahim A., Marin, Marin
Format: Article
Language:English
Subjects:
Engineering
Mechanical Engineering
Research Paper
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we apply the generalized thermoelastic theory with mass diffusion to a two-dimensional problem for a half-space. The surface of the half-space is taken to be traction-free and heated by laser pulse. The analytical solution is adopted for the temperature, the displacement components, concentration, the stress components and chemical potential. The nonhomogeneous basic equations have been written in the form of a vector–matrix differential equation, which is then solved using the eigenvalue approach. A comparison is made in the case of the absence and presence of a mass diffusion between the coupled and Lord–Shulman theories. The results obtained are presented graphically for the effects of the laser pulse and the mass diffusion to display the phenomena of physical significance.
ISSN:2228-6187
2364-1835
DOI:10.1007/s40997-017-0077-1