Perturbation Formulas for Polarization Ratio and Phase Shift of Rayleigh Waves in Prestressed Anisotropic Media
Perturbation Formulas for Polarization Ratio and Phase Shift of Rayleigh Waves in Prestressed Anisotropic Media
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DOI：
10.1007/s10659-007-9147-8
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发表时间：
2008-07
影响因子：
2
通讯作者：
Kazumi Tanuma;C. Man
中科院分区：
文献类型：
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作者：
Kazumi Tanuma;C. Man
本文完成了较早的研究(Tanuma和Man，《弹性力学杂志》，85，21-37,2006)，其中我们推导了沿宏观均匀、各向异性、预应力半空间自由表面传播的瑞利波的相速度的一阶摄动公式。我们采用有初应力的线弹性公式，并假定预应力各向异性介质与适当选择的、比较的、无应力的、各向同性的状态的偏差很小。然而，对增量弹性张量的材料各向异性没有作任何假设。本文借助于Stroh公式，从瑞利波的相对各向同性值出发，导出了瑞利波偏振比和相移变化的一阶微扰公式。算例表明，相速度和偏振比的摄动公式可作为研究用瑞利波偏振法测量应力与用波速测量应力的可能优点的起点。
This paper completes an earlier study (Tanuma and Man, Journal of Elasticity,85, 21–37, 2006) where we derive a first-order perturbation formula for the phase velocity of Rayleigh waves that propagate along the free surface of a macroscopically homogeneous, anisotropic, prestressed half-space. We adopt the formulation of linear elasticity with initial stress and assume that the deviation of the prestressed anisotropic medium from a suitably-chosen, comparative, unstressed and isotropic state be small. No assumption, however, is made on the material anisotropy of the incremental elasticity tensor. With the help of the Stroh formalism, here we derive first-order perturbation formulas for the changes in polarization ratio and phase shift of Rayleigh waves from their respective comparative isotropic value. Examples are given, which show that the perturbation formulas for phase velocity and polarization ratio can serve as a starting point for investigations on the possible advantages of using Rayleigh-wave polarization, as compared with using wave speed, for acoustoelastic measurement of stress.