ARTICLE
Heating a thermoelastic half space with a surface absorption pulsed laser using fractional order theory of thermoelasticity
 
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1
Department of Mathematics, College of Education, Majmaah University, Al-Majmaah, Saudi Arabia
 
2
Department of physics, Faculty of Science, Helewan University, Cairo, Egypt
 
 
Submission date: 2018-05-03
 
 
Acceptance date: 2019-01-28
 
 
Publication date: 2019-04-15
 
 
Journal of Theoretical and Applied Mechanics 2019;57(2):489-500
 
KEYWORDS
ABSTRACT
In this work, the problem of illuminating a thermoelastic half space by a laser beam is solved by utilizing the fractional order theory of thermoelasticity. The assumptions that the illuminated surface is exposed to a cooling effect and free from traction are considered. The problem is solved using Laplace transform techniques. The inverse Laplace transform has been calculated in numerical fashion. The obtained results are presented graphically.
 
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