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基于分数阶LS模型的多场耦合波的反射和透射

边鑫禹 王红 岳田田 韩旸 魏蕴波 李月秋

高师理科学刊2024,Vol.44Issue(5):50-55,6.
高师理科学刊2024,Vol.44Issue(5):50-55,6.DOI:10.3969/j.issn.1007-9831.2024.05.010

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

边鑫禹 1王红 1岳田田 1韩旸 1魏蕴波 1李月秋1

作者信息

  • 1. 齐齐哈尔大学 理学院,黑龙江 齐齐哈尔 161006
  • 折叠

摘要

Abstract

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

Key words

fractional order/thermo-elasticity/LS model/Lorentz force/reflection/transmission

分类

数理科学

引用本文复制引用

边鑫禹,王红,岳田田,韩旸,魏蕴波,李月秋..基于分数阶LS模型的多场耦合波的反射和透射[J].高师理科学刊,2024,44(5):50-55,6.

基金项目

黑龙江省基本业务费专项资助项目(145209135) (145209135)

黑龙江省高等教育教学改革项目(SJGY20210966) (SJGY20210966)

齐齐哈尔大学教育科学研究项目(GJZRZX202003) (GJZRZX202003)

高师理科学刊

1007-9831

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