Generalized Thermoelasticity Problem of Material Subjected to Thermal Loading Due to Laser Pulse

作     者：Hamdy M. Youssef Ahmed S. Al-Felali 

作者机构：Mathematical Department Faculty of Sciences Umm Al-Qura University Makkah Saudi Arabia Mechanical Department Faculty of Engineering and Islamic Architecture Umm Al-Qura University Makkah Saudi Arabia 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2012年第3卷第2期

页      面：142-146页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Thermoelasticity Coupled Thermoelasticity Generalized Thermoelasticity Non-Gaussian Laser Pulse 

摘      要：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.