磁-热-弹多物理场耦合波的反射和透射  

ChinaReflection and transmission of magneto-thermo-elastic multi-physics fieldcoupling waves

作　　者：岳田田 王红[1] 韩旸[1] 杨雅琴[1] 李晓红[1] 周杨 窦红双[1] YUE Tiantian;WANG Hong;HAN Yang;YANG Yaqin;LI Xiaohong;ZHOU Yang;DOU Hongshuang(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2期9-14,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(135509123);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.通过应用广义热弹性GN(Ⅱ)模型,反映热力耦合效应对弹性波传播的影响.通过色散方程和相速度,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,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-elastic GN(Ⅱ)model 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 and the phase velocity.The energy flux ratios of various reflected waves and transmitted waves to incident waves are calculated by using the continuous boundary conditions.Finally,the reliability of the numerical calculation results is verified by the normal energy conservation.

关 键 词：耦合效应 洛伦兹力 反射 透射 能流比 

分 类 号：O241.8[理学—计算数学] O441[理学—数学]