应用数学和力学2026，Vol.47Issue(8)：1009-1018,10.DOI:10.21656/1000-0887.460152
考虑外磁场的偶应力半空间非完好界面的弹性波反射
Reflection of Elastic Waves at Imperfect Interface in a Couple-Stress Half-Space Under the External Magnetic Field
摘要
Abstract
The reflection problem of elastic waves at the elastic interface in couple-stress solids was studied un-der the influence of an external magnetic field.Firstly,based on the couple stress theory and Maxwell's elec-tromagnetic theory,the governing equations for the propagation of elastic waves and 3 types of waves(the P wave,the SV wave and the SS wave)were derived.It was also found that the external magnetic field affects the propagation of elastic waves through the Lorentz force,but no new wave patterns are generated.Secondly,based on the elastic interface conditions,the corresponding linear algebraic equations were obtained,and the amplitude ratios of various reflected waves relative to the incident wave in the case of incident P waves and SV waves were derived.Then,the reflection coefficient was defined with the energy flow ratio,and the effects of the external magnetic field,3 elastic constants,couple stress parameters,and the angular frequency of the inci-dent wave on the elastic wave reflection coefficient,were discussed for the incident P wave.Finally,the accu-racy of the numerical results was verified through the conservation of normal energy for each wave.关键词
外磁场/偶应力/弹性界面/反射/能量守恒Key words
external magnetic field/couple stress/elastic interface/reflection/energy conservation分类
数理科学引用本文复制引用
王长达,周洋,王子翊,李月秋..考虑外磁场的偶应力半空间非完好界面的弹性波反射[J].应用数学和力学,2026,47(8):1009-1018,10.基金项目
国家自然科学基金(52278489) （52278489）
河北省工程结构多灾害韧性与应急处置技术创新中心开放基金(FZ246305) （FZ246305）
河北省自然科学基金(E2024512014) （E2024512014）
廊坊市科学技术研究与发展计划(2024011030) （2024011030）
