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基于Green-Naghdi模型与三相延迟模型的耦合热弹性波传播
引用本文:王红,李月秋,李晓红,魏蕴波,方晓燕,林春丽.基于Green-Naghdi模型与三相延迟模型的耦合热弹性波传播[J].数学的实践与认识,2021(2):213-223.
作者姓名:王红  李月秋  李晓红  魏蕴波  方晓燕  林春丽
作者单位:齐齐哈尔大学理学院
基金项目: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.

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

The Propagation of Coupled Thermal-elastic Waves based on Green-Naghdi Model and Three-phase-lag Model
WANG Hong,LI Yue-qiu,LI Xiao-hong,WEI Yun-bo,FANG Xiao-yan,LIN Chun-li.The Propagation of Coupled Thermal-elastic Waves based on Green-Naghdi Model and Three-phase-lag Model[J].Mathematics in Practice and Theory,2021(2):213-223.
Authors:WANG Hong  LI Yue-qiu  LI Xiao-hong  WEI Yun-bo  FANG Xiao-yan  LIN Chun-li
Institution:(College of Science,Qiqihar University,Qiqihar 161006,China)
Abstract: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.
Keywords:thermo-elasticity  Green-Naghdi model  three-phase-lag model  dispersion and attenuation
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