Analytical solution of thermoelastic interaction in a half-space by pulsed laser heating |
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| Affiliation: | 1. Department of Mathematics, Faculty of Science and Arts - Khulais, University Of Jeddah, Saudi Arabia;2. Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia;3. Department of mathematics, Faculty of Science, Sohag University, Sohag, Egypt;4. Department of Mathematics and Computer Sciences, Transilvania University of Brasov, Romania;1. Department of Physics, Chalmers University of Technology, S-412 96 Göteborg, Sweden;2. Boreskov Institute of Catalysis, Russian Academy of Sciences, Novosibirsk 630090, Russia;1. Sumy State University, Sumy 40007, Ukraine;2. NetCracker Technology, Sumy 40000, Ukraine;1. Mechanical Engineering Department, Amirkabir University of Technology, No. 424, Hafez Ave., PO Box 15875-4413, Tehran, Iran;2. School of Mechanical Engineering, Sharif University of Technology, Azadi Ave., PO Box 11365-11155, Tehran, Iran;1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia;2. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh, 33516, Egypt |
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| Abstract: | In this article, we consider the problem of a two-dimensional thermoelastic half-space in the context of generalized thermoelastic theory with one relaxation time. The surface of the half-space is taken to be traction free and thermally insulated. The solution of the considered physical quantity can be broken down in terms of normal modes. The nonhomogeneous basic equations have been written in the form of a vector-matrix differential equation, which is then solved by an eigenvalue approach. The exact analytical solution is adopted for the temperature, the components of displacement and stresses. The results obtained are presented graphically for the effect of laser pulse to display the phenomena physical meaning. The graphical results indicate that the thermal relaxation time has a great effect on the temperature, the components of displacement and the components of stress. |
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| Keywords: | Analytical solution Thermoelasticity Relaxation time Eigenvalue approach Laser pulse |
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