基于Green-Naghdi模型与三相延迟模型的耦合热弹性波传播  

The Propagation of Coupled Thermal-elastic Waves based on Green-Naghdi Model and Three-phase-lag Model

作　　者：王红[1] 李月秋[1] 李晓红[1] 魏蕴波[1] 方晓燕 林春丽 WANG Hong;LI Yue-qiu;LI Xiao-hong;WEI Yun-bo;FANG Xiao-yan;LIN Chun-li(College of Science,Qiqihar University,Qiqihar 161006,China)

机构地区：[1]齐齐哈尔大学理学院,黑龙江齐齐哈尔161006

出　　处：《数学的实践与认识》2021年第2期213-223,共11页Mathematics in Practice and Theory

基　　金：黑龙江省省属高等学校基本科研业务费科研项目(135209253);黑龙江省自然科学基金联合引导项目(LH2019A026)。

摘　　要：研究了基于G-N模型与三项延迟模型的热弹性波的传播特征.在各种广义热弹性理论中,热位移概念的引入使得G-N模型具有独特性质而引起广泛的关注和应用.基于G-N模型,最近一个三相延迟模型被提出.主要研究了这两种模型下第一和第二声波(耦合热弹性波)的色散和衰减特性,分析了温度场和位移场在两种模型下的振幅比和相位差.结果发现三相延迟模型更为通用和灵活,应得到更多的关注与应用.The characteristic of first and second sound waves in dispersion and attenuation based on the G-N model and three-phase-lag model are studied in this paper.The G-N model has been gotten wide attentions and applications because the conception of thermal displacement was introduced.The three-phase-lag model had also been proposed recently based on the G-N model.The dispersive and attenuation of coupled thermo-elastic waves are mainly studied.The amplitude ratio and the phase shift between the temperature field and the displacement field under two models are also analyzed.It is found that three-phaselag model is the more general and flexible model and should be gotten more attention and application.

关 键 词：热弹性 Green-Naghdi模型 三相延迟模型 色散和衰减 

分 类 号：O175.26[理学—数学] O347.42[理学—基础数学]