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Generalized Thermoelasticity Problem of Material Subjected to Thermal Loading Due to Laser Pulse
Mechanical Department, Faculty of Engineering and Islamic Architecture, Umm Al-Qura University, Makkah, Saudi Arabia
Mathematical Department, Faculty of Sciences, Umm Al-Qura University, Makkah, Saudi Arabia
- 1 Mechanical Department, Faculty of Engineering and Islamic Architecture, Umm Al-Qura University, Makkah, Saudi Arabia
- 2 Mathematical Department, Faculty of Sciences, Umm Al-Qura University, Makkah, Saudi Arabia
Applied Mathematics·Volume 03 (2012)·Pages 142–146·Published 23 February 2012·DOI10.4236/am.2012.32022
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Abstract
This work is devoted to a study of the induced temperature and stress fields in an elastic half space in context of clas-sical coupled thermoelasticity and generalized thermoelasticity in a unified system of equations. The half space is con-sidered to be made of an isotropic homogeneous thermoelastic material. The bounding plane surface is heated by a non-Gaussian laser beam with pulse duration of 2 ps. An exact solution of the problem is first obtained in Laplace transform space. Since the response is of more interest in the transient state, the inversion of Laplace transforms have been carried numerically. The derived expressions are computed numerically for copper and the results are presented in graphical form.
KeywordsThermoelasticityCoupled ThermoelasticityGeneralized ThermoelasticityNon-Gaussian Laser Pulse
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