Perturbation of phase velocity of Rayleigh waves in pre-stressed anisotropic media with orthorhombic principal part
Perturbation of phase velocity of Rayleigh waves in pre-stressed anisotropic media with orthorhombic principal part
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DOI：
10.1177/1081286512438882
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发表时间：
2013-05
影响因子：
2.6
通讯作者：
Kazumi Tanuma;C. Man;Wenwen Du
中科院分区：
文献类型：
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作者：
Kazumi Tanuma;C. Man;Wenwen Du
本文导出了均匀预应力半空间中沿自由面传播的瑞雷波相速度的显式一阶摄动公式，其增量弹性张量L的主分量C是正交的(两重旋转对称轴的两个轴垂直于自由面，传播方向分别为横观各向同性)或横向各向同性(∞轴垂直于自由面)。增量弹性张量的剩余(摄动)部分A可以是任意各向异性的。作为摄动公式的一个应用，我们考虑了C是横观各向同性的，A是由六阶声弹性张量与预应力的收缩给出的情况，并讨论了通过瑞利波相速度的边界测量来确定预应力的可能性和问题。
Herein we derive an explicit first-order perturbation formula for the phase velocity of Rayleigh waves that propagate along the free surface of a homogeneous pre-stressed half-space, the incremental elasticity tensor L of which has a principal part C that is orthorhombic (with two of the axes of two-fold rotational symmetry being normal to the free surface and being the propagation direction, respectively) or transversely isotropic (with the ∞-axis being normal to the free surface). The remaining (perturbative) part A of the incremental elasticity tensor can be arbitrarily anisotropic. As an application of the perturbation formula, we consider the case where C is transversely isotropic and A is given by a contraction of the sixth-order acoustoelastic tensor with the pre-stress, and we examine the possibility of and the problems and issues about determination of the pre-stress by boundary measurement of phase velocities of Rayleigh waves.