Institut de Mécanique et d'Ingénierie de Bordeaux-I2M-UMR CNRS 5295, Université de Bordeaux, 351, Cours de la Libération Talence 33405 Cedex, France.
J Acoust Soc Am. 2011 Oct;130(4):1820-8. doi: 10.1121/1.3628663.
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.
本文提出了一种用于分析和数值建模的方法，用于研究剪切波与摩擦界面之间的非线性相互作用。研究的系统由两个均匀各向同性的弹性固体组成，通过远程法向压缩使其产生摩擦接触。剪切波以时间谐波或窄带脉冲的形式垂直入射到界面上，并在接触中传播。本文考虑了两种摩擦定律，并研究了它们对界面行为的影响：库仑定律和具有静态和动态摩擦系数的滑动弱化摩擦定律。详细研究了非线性谐波与耗散能量之间的关系，以及与接触动力学（摩擦定律、滑动和切向应力）和法向接触应力的关系。分析和数值结果表明，对于较高谐波的幅度和耗散能量，存在通用类型的定律，这些定律可以根据预紧力、摩擦系数和入射幅度进行适当的无量纲化。结果表明，较高谐波的测量可用于量化滑动界面的摩擦和耗散效应。
