ARTICLE
A generalized thermoelastic medium subjected to pulsed laser heating via a two-temperature model
 
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1
Mansoura University, Faculty of Science, Department of Mathematics, Mansoura, Egypt
 
2
Jouf University, College of Science and Arts, Department of Mathematics, El-Qurayat, Saudi Arabia
 
3
King Abdulaziz University, Faculty of Science, Department of Mathematics, Jeddah, Saudi Arabia
 
4
Kafrelsheikh University, Faculty of Science, Department of Mathematics, Kafrelsheikh, Egypt
 
 
Submission date: 2017-02-12
 
 
Acceptance date: 2019-03-07
 
 
Online publication date: 2019-07-15
 
 
Publication date: 2019-07-15
 
 
Journal of Theoretical and Applied Mechanics 2019;57(3):631-639
 
KEYWORDS
ABSTRACT
This article investigates stress and induced temperature in an isotropic, homogeneous, thermoelastic half-space using a two-temperature generalized thermoelasticity model. The bounding plane surface of the present half-space continuum is subjected to a non-Gaussian laser pulse. Laplace’s transform space is considered to deduce a closed-form solution to the problem. In addition, the inversions of Laplace’s transformations have been carried numerically to obtain field quantities in the transient state. The effects of parameters of two-temperature, laser-pulse and laser intensity are investigated. A concluding remark for the graphical forms of the derived expressions is presented.
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