Nonlinear shear wave interaction at a frictional interface: energy dissipation and generation of harmonics.
Nonlinear shear wave interaction at a frictional interface: energy dissipation and generation of harmonics.
复制标题
摩擦界面处的非线性剪切波相互作用：能量耗散和谐波的产生。
DOI：
10.1121/1.3628663
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
A. Shuvalov
中科院分区：
文献类型：
--
作者：
A. Meziane;Andrew N. Norris;A. Shuvalov
对剪切波与摩擦界面的非线性相互作用进行了解析和数值模拟。所研究的系统是由两个均匀各向同性的弹性固体组成的，它们通过远距离法向压缩进入摩擦接触。剪切波，无论是时间谐波还是窄带脉冲，垂直入射到界面并通过接触传播。研究了两种摩擦定律对界面行为的影响：具有恒定摩擦系数的库仑定律和考虑静、动摩擦系数的滑移弱化摩擦定律。详细分析了非线性谐波与耗散能量之间的关系，以及与接触动力学(摩擦律、滑动和切向应力)和法向接触应力之间的关系。分析和数值结果表明，高次谐波的幅值和耗散能量的普适类型定律是由预应力、摩擦系数和入射幅值适当无量纲化的。结果表明，高次谐波的测量可以用来量化滑动界面的摩擦和耗散效应。
Analytical and numerical modeling of the nonlinear interaction of shear wave with a frictional interface is presented. The system studied is composed of two homogeneous and isotropic elastic solids, brought into frictional contact by remote normal compression. A shear wave, either time harmonic or a narrow band pulse, is incident normal to the interface and propagates through the contact. Two friction laws are considered and the influence on interface behavior is investigated: Coulomb's law with a constant friction coefficient and a slip-weakening friction law which involves static and dynamic friction coefficients. The relationship between the nonlinear harmonics and the dissipated energy, and the dependence on the contact dynamics (friction law, sliding, and tangential stress) and on the normal contact stress are examined in detail. The analytical and numerical results indicate universal type laws for the amplitude of the higher harmonics and for the dissipated energy, properly non-dimensionalized in terms of the pre-stress, the friction coefficient and the incident amplitude. The results suggest that measurements of higher harmonics can be used to quantify friction and dissipation effects of a sliding interface.