摘要
基于孔隙介质的Ｂｉｏｔ理论，研究了横观各向同性液体饱和多孔介质中平面波的传播特性．首先导出了波传播的特征方程并给出其解析解，结果显示：有４种不同波速的平面体波传播：第一准纵波（ＱＰ１）、第二准纵波（ＱＰ２）、准横波（ＱＳＶ）和反平面横波（ＳＨ）．文中给出了波速和衰减的解析表达式，数值计算了频散曲线和衰减曲线，并讨论了各类准体波位移之间的耦合关系．最后分析了Ｒａｙｌｅｉｇｈ波的生成条件和传播特性．
Based on the Biot's theory for fluid-saturated porous media, the propagation of plane waves in transversely isotropic porous materials is studied. The characteristic equations for wave propagation are derived and solved analytically. The results show that four waves, the first and second quasi-longitudinal waves(QP1 and QP2), the quasi-transverse wave(QSV) and the anti-plane transverse wave (SH), propagate with different speeds. The analytical expressions for wave speeds andattenuations are presented. The curves of dispersion and attenuation are illustrated, and the coupling relations among three quasi-body waves are discussed. Finally, we analyze the existence and properties of Rayleigh surface waves. The effects of anisotropy of the medium on the wave propagation are discussed in details.
出处
《力学学报》
EI
CSCD
北大核心
1997年第3期257-268,共12页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金
关键词
横观各向同性
多孔介质
RAYLEIGH波
平面波
anisotropy, porous medium, wave propagation, dispersion, attenuation, Rayleigh surface wave
