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中文核心期刊

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

  • 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.

     

    Abstract: 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 ofparticle displacement and stress distributions in the inviscid fluid and theisotropic solid are presented. The characteristics of leaky Rayleigh waves,the particle displacement and stress distributions in the fluid and solidare investigated with numerical results using those equations. The effect ofthe fluid-solid density ratio on the velocity and attenuation of leakyRayleigh wave and its particle displacement and stress distributions in thefluid and the solid is analyzed numerically. The leaky Rayleigh wave isnon-dispersive and attenuate with propagetion distance. Its velocity andattenuation increase with the fluid-solid density ratio. The fluid-soliddensity ratio has significant effect on the vertical displacement but littleon horizontal displacement in the solid half space. The fluid-solid densityratio also dramatically effects on the vertical normal stress and shearstress but little on horizontal normal stress in the solid half space. Thetheory is promising to be explored to nondestructive testing and evaluationwith leaky Rayleigh wave.

     

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