title: Nonlinear shear wave interaction at a frictional interface: energy dissipation and generation of harmonics.
abstract: 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.
authors.affiliation: Institut de Mécanique et d'Ingénierie de Bordeaux-I2M-UMR CNRS 5295, Université de Bordeaux, 351, Cours de la Libération Talence 33405 Cedex, France. a.meziane@lmp.u-bordeaux1.fr
authors.forename: A
authors.initials: A
authors.lastname: Meziane
authors.forename: A N
authors.initials: AN
authors.lastname: Norris
authors.forename: A L
authors.initials: AL
authors.lastname: Shuvalov
mesh_terms: D003198:Computer Simulation; D004548:Elasticity; D004735:Energy Transfer; D017276:Friction; D009038:Motion; D017711:Nonlinear Dynamics; D009716:Numerical Analysis, Computer-Assisted; D013016:Sound; D013314:Stress, Mechanical; D013499:Surface Properties; D013997:Time Factors; D014465:Ultrasonics / Q000379:methods*