基于微极流体理论和微极固体弹性理论,研究了纵向位移波通过微极流体中微极弹性板时的纵向位移波、耦合波一和耦合波二等三种微极弹性波的反射和透射特性。理论分析和数值计算结果表明:在一般情况下,各种反射和透射波的振幅比是入射波的入射角、频率和介质材料特性的函数;正入射时只有纵向位移波穿过固体板,而不存在其它波的传播;掠入射时仅有入射波沿界面传播而无反射、折射和透射现象发生。文章同时还讨论了反射、折射和透射系数随入射角的变化规律。
Based on micropolar fluid theory and micropolar solid elasticity theory,reflection and transmission characteristics of three kinds of micropolar elastic waves involving longitudinal displacement wave and two coupled waves,are studied when incident longitudinal displacement plane wave propagates through micropolar elastic solid plate in micropolar fluid.Theoretical and numerical analytical results reveal that in general the amplitude ratios of various reflected and transmitted waves are functions of angle of incidence,frequency of the incident wave and of the material properties of the medium through which they travel.At normal incidence,the reflection and transmission of only longitudinal waves take place and no coupled transverse wave is found to reflect or transmit.At grazing incidence,no reflection or transmission phenomena take place and the same wave propagates along the interface.The change rules of the reflection waves and refraction waves amplitudes varied with incident angle are also discussed.