无黏流体与固体界面的漏瑞利波  

LEAKY RAYLEIGH WAVE AT THE INTERFACE BETWEEN INVISCID FLUID AND SOLID

作　　者：陈晓[1] 

机构地区：[1]南京信息工程大学电子与信息工程学院电子信息工程系,南京210044

出　　处：《力学学报》2010年第1期51-55,共5页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金(10904073);江苏省基础研究计划(自然科学基金)(BK2007601)资助项目~~

摘　　要：漏瑞利波存在于半无限无黏性流体和半无限固体媒质的界面处.首先推导流固无限各向同性介质界面处漏瑞利波的特征方程和位移及应力的解析计算公式.然后结合典型结构通过数值计算研究了漏瑞利波特性以及位移和应力在流体和固体中的分布规律.数值计算结果表明漏瑞利波的相速度和衰减随流固密度比的增大而增大,在流固界面上法向位移连续而切向位移不连续.流固密度比对固体媒质中沿垂直于漏瑞利波的传播方向的位移、正应力和剪应力有比较大的影响,而对沿漏瑞利波的传播方向的正应力几乎没影响.为利用漏瑞利波的无损检测与评价提供了理论基础.The leaky Rayleigh wave,an inhomogeneous surface wave,exists at the interface between a fluid half space and a solid half space.The secular equation of leaky Rayleigh wave is derived and the formulas of particle displacement and stress distributions in the inviscid fluid and the isotropic solid are presented.The characteristics of leaky Rayleigh waves,the particle displacement and stress distributions in the fluid and solid are investigated with numerical results using those equations.The effect of the fluid-solid density ratio on the velocity and attenuation of leaky Rayleigh wave and its particle displacement and stress distributions in the fluid and the solid is analyzed numerically.The leaky Rayleigh wave is non-dispersive and attenuate with propagetion distance.Its velocity and attenuation increase with the fluid-solid density ratio.The fluid-solid density ratio has significant effect on the vertical displacement but little on horizontal displacement in the solid half space. The fluid-solid density ratio also dramatically effects on the vertical normal stress and shear stress but little on horizontal normal stress in the solid half space.The theory is promising to be explored to nondestructive testing and evaluation with leaky Rayleigh wave.

关 键 词：漏瑞利波 界面 表面波 超声 

分 类 号：O346.2[理学—固体力学] O426.2[理学—力学]