Two-Temperature Generalized Thermo-Elastic Medium Thermally Excited by Time Exponentially Decaying Laser Pulse

Author:

Youssef Hamdy M.12,El-Bary A. A.3

Affiliation:

1. Mathematical Department, Faculty of Education, Alexandria University, Alexandria, Egypt

2. Mechanics Department Faculty of Engineering, Umm Al-Qura University Makkah P. O. 5555, KSA

3. Basic and Applied Science Department, Arab Academy for Science and Technology, P. O. Box 1029, Alexandria, Egypt

Abstract

This paper deals with a two-temperature thermoelastic material subjected to a laser heating pulse as the heat source. Closed form solutions for the temperature and stress fields due to time exponentially decaying laser pulse are presented using the state-space approach. The Laplace transformation method is employed in deriving the governing equations. The inversion of Laplace transform is obtained numerically by using the Riemann-sum approximation method. The results have been presented in figures to show the effect of the time exponentially decaying laser pulse, the two-temperature parameter and the absorption coefficient on all the fields studied. The results show that the two-temperature parameter and the absorption coefficient parameter have significant effects on all the field parameters studied.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Building and Construction,Civil and Structural Engineering

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