位于弹性半空间上的理想流体层动力反应—平面P波入射
DYNAMIC RESPONSE OF IDEAL FLUID LAYER OVERLYING ELASTIC HALF-SPACE DUE TO P-WAVE INCIDENCE
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摘要: 根据弹性介质与理想流体交界面的边界条件以及理想流体层自由表面的边界条件,基于位移势函数,推导了平面P波从弹性半空间入射到与理想流体层的交界面时,确定交界面波的透射与反射系数的理论方程。根据该方程,通过数值算例,分析了弹性半空间的弹性模量和密度、平面P波的入射角以及入射频率对理想流体层动压力的影响。Abstract: Based on the boundary conditions at the elastic solid-ideal fluid interface and the free surface of fluid layer, the theoretical formulas for determining the refraction and reflection coefficients at the interface are derived in terms of the displacement potentials. With the formulas, the effects of the elastic modulus and density of the elastic half-space medium, and the incident angle and frequency of input P-wave on the dynamic pressure in the fluid are analyzed in a few numerical examples.