Scattering of a Rayleigh wave by a surface-breaking crack with faces in partial contact

Scattering of a Rayleigh wave by a surface-breaking crack with faces in partial contact
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DOI:
10.1016/s0165-2125(00)00070-6
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发表时间:
2001-03-01
期刊:
影响因子:
2.4
通讯作者:
Pecorari, C
Pecorari, C
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Pecorari, C

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在这项工作中,研究了部分接触面的表面破裂裂纹对瑞利波的散射。接触裂纹面的弹性特性在准静态近似 (QSA) 的框架内进行建模。考虑两种不同的接触分布。第一个分布在裂纹填充器的整个范围内是均匀的。在第二种情况下,接触仅发生在裂纹口附近。通过求解非耦合积分方程组获得了入射波引起的裂纹张开位移(COD)的梯度。对裂纹深度上的 COD 梯度进行积分即可得出 GOD 的组成部分。反射和透射系数,以及由模式转换体波带走的入射瑞利波的能量:可以通过使用 COD 分量结合互易理论来计算。与基于体波在无限范围的不完美界面上垂直入射时的反射系数行为的预期相反。预计由部分闭合的表面破裂裂纹散射的瑞利波的反射系数最初会随着施加到裂纹面的载荷而增加。还提供了支持这种令人惊讶的行为的实验证据。 (C) 2001 Elsevier Science B.V. 保留所有权利。
In this work, the scattering of a Rayleigh wave by a surface-breaking crack with faces in partial contact is investigated. The elastic properties of the crack faces in contact are modeled within the framework of the quasi-static approximation (QSA). Two different contact distributions are considered. The first distribution is uniform over the whole extent of the crack filers. In the second one, the contacts occur only in the proximity of the crack mouth. The gradient of the crack opening displacement (COD) caused by the incident wave is obtained by solving a system of uncoupled integral equations. An integration of the COD gradients over the crack depth yields the components of the GOD. The reflection and the transmission coefficients, as well as the energy of the incident Rayleigh wave, which is carried away by the mode-converted bulk waves: can be calculated by employing the COD components in conjunction with reciprocity theory. Contrary to the expectations based on the behavior of the reflection coefficient of a bulk wave at normal incidence on an imperfect interface of infinite extent. the reflection coefficient of a Rayleigh wave scattered by a partially closed surface-breaking crack is predicted to increase initially with the load applied to the crack faces. Experimental evidence supporting su:ch a surprising behavior is also presented. (C) 2001 Elsevier Science B.V. All rights reserved.