基于分数阶LS模型的多场耦合波的反射和透射  

Reflection and transmission of multi-physics coupled waves based on LS model of fractional order

作　　者：边鑫禹 王红[1] 岳田田 韩旸[1] 魏蕴波[1] 李月秋[1] BIAN Xinyu;WANG Hong;YUE Tiantian;HAN Yang;WEI Yunbo;LI Yueqiu(School 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：《高师理科学刊》2024年第5期50-55,共6页Journal of Science of Teachers＇College and University

基　　金：黑龙江省基本业务费专项资助项目(145209135);黑龙江省高等教育教学改革项目(SJGY20210966);齐齐哈尔大学教育科学研究项目(GJZRZX202003)。

摘　　要：应用麦克斯韦电磁学理论引入洛伦兹力,反映外磁场对弹性波传播的影响,运用分数阶广义热弹性LS模型,反映热力耦合效应对弹性波传播的影响.通过色散方程,分析了外磁场和热力耦合效应对波动模式和色散特性的影响.应用连续性边界条件计算出各种反射波和透射波与入射波的能流比,并通过法向能量守恒验证了数值计算结果的可靠性.Lorentz force is introduced by Maxwell electromagnetism theory to reflect the influence of external magnetic field on elastic wave propagation,the generalized thermo-elasticity LS model of fractional order is applied to reflect the influence of thermo-mechanical coupling effect on elastic wave propagation.The influence of external magnetic field and thermo-mechanical coupling effect on the wave mode and dispersion characteristics is analyzed by the dispersion equation.The energy flux ratios of various reflected waves and transmitted waves to incident waves are calculated by using the continuous boundary conditions,and the reliability of the numerical calculation results is verified by the normal energy conservation.

关 键 词：分数阶 热弹性 LS模型 洛伦兹力 反射 透射 

分 类 号：O441[理学—电磁学]