标题：Fractional dual-phase-lag heat conduction model for laser pulse heating
作者：Xu, Huanying ;Wang, Xiaoping ;Qi, Haitao
作者机构：[Xu, Huanying ;Wang, Xiaoping ;Qi, Haitao ] School of Mathematics and Statistics, Shandong University, Weihai, Weihai; 264209, China;[Xu, Huanying ] S 更多
会议名称：29th Chinese Control and Decision Conference, CCDC 2017
会议日期：28 May 2017 through 30 May 2017
来源：Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017
关键词：Fractional Calculus; Fractional Heat Conduction Equation; Laplace Transform; Laser Heating
摘要：In the present work, the short-pulse laser heating of a semi-infinite medium is considered. The time fractional dual-phase-lag model is used as the heat conduction model and the corresponding fractional heat conduction equation with a volumetric heat source is established. The semi-analytical solution for the temperature distribution is obtained by using the Laplace transform method. Finally, the influence of pertinent parameters on the temperature distribution is studied graphically. © 2017 IEEE.