How Does Dissipation Affect the Transition from Static to Dynamic Macroscopic Friction?

Lubricants

Naum I. Gershenzon¹  Gust Bambakidis²  Thomas E. Skinner² 

[1] Physics Department & Department of Earth and Environmental Sciences, Wright State University, 3640 Colonel Glenn Highway, Dayton, OH 45435, USA;Physics Department, Wright State University, 3640 Colonel Glenn Highway, Dayton, OH 45435, USA;

关键词: dry macroscopic friction;    transition process;    slip pulse;    rupture velocity;    Frenkel-Kontorova model;    sine-Gordon equation;   

DOI  :  10.3390/lubricants3020311

来源: DOAJ

【 摘 要 】

Description of the transitional process from a static to a dynamic frictional regime is a fundamental problem of modern physics. Previously, we developed a model based on the well-known Frenkel-Kontorova model to describe dry macroscopic friction. Here, this model has been modified to include the effect of dissipation in derived relations between the kinematic and dynamic parameters of a transition process. The main (somewhat counterintuitive) result is a demonstration that the rupture (i.e., detachment front) velocity of the slip pulse which arises during the transition does not depend on friction. The only parameter (besides the elastic and plastic properties of the medium) controlling the rupture velocity is the shear to normal stress ratio. In contrast to the rupture velocity, the slip velocity does depend on friction. The model we have developed describes these processes over a wide range of rupture and slip velocities (up to 7 orders of magnitude) allowing, in particular, the consideration of seismic events ranging from regular earthquakes, with rupture velocities on the order of a few km/s, to slow slip events, with rupture velocities of a few km/day.

【 授权许可】

Unknown