磁场和初始应力对两个压磁半空间界面处QSV波反射和透射的影响
Effects of the Magnetic Field and Initial Stress on the Reflection and Transmission of QSV Waves at the Interface between Two Piezomagnetic Half-Spaces
DOI: 10.12677/ijm.2026.152014, PDF,    科研立项经费支持
作者: 苏小影, 雷东侠, 欧志英*：兰州理工大学理学院，甘肃 兰州
关键词: 压磁材料；磁场；压应力；反射/透射；Piezomagnetic Materials； Magnetic Field； Compressive Stress； Reflection/Transmission
摘要: 本文研究了磁场和压应力对两个压磁半空间界面处准剪切垂直(QSV)波反射和透射的影响，压磁材料的本构关系依据Zheng-Liu模型推导得出。有效弹性常数、压磁常数和磁导率常数取决于所施加的磁场和压应力，考虑了QSV波从Terfenol-D入射到Ni6的情况。通过满足界面连续性条件，获得了各种波在磁场和压应力作用下的反射/透射系数(RTCs)。考虑能量守恒，验证了计算结果。结果表明，与入射波具有相同模式的体波的反射角不受磁场和压应力的影响；磁场和压应力对RTCs的影响呈现出相反的趋势，其中磁场的影响相对较强于压应力。
Abstract: Effects of the magnetic field and compressive stress on the reflection and transmission of quasi-shear vertical (QSV) waves at the interface between two piezomagnetic half-spaces have been investigated in this article. The constitutive relations for piezomagnetic materials are derived from the Zheng-Liu model. The effective elastic, piezomagnetic, and magnetic permeability constants depend on the applied magnetic field and compressive stress. The case of QSV waves incident from the Terfenol-D onto the Ni6 is considered. By satisfying the interface continuity conditions, the reflection/transmission coefficients (RTCs) of various waves under the influence of the magnetic field and compressive stress are obtained. Considering energy conservation, the calculated results are verified. Results show that the reflection angle of body waves with the same mode as the incident wave is not affected by the magnetic field and compressive stress; the influence of the magnetic field and compressive stress on RTCs shows an opposite trend, with the influence of the magnetic field being relatively stronger than that of the compressive stress.
文章引用：苏小影, 雷东侠, 欧志英. 磁场和初始应力对两个压磁半空间界面处QSV波反射和透射的影响[J]. 力学研究, 2026, 15(2): 136-147. https://doi.org/10.12677/ijm.2026.152014

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