Precursors of Global Slip in a Longitudinal Line Contact Under Non-Uniform Normal Loading

This article describes the mechanism of precursor events; the mechanism was determined through an experiment and simulation by considering non-uniform normal loading. In the experiment, real-time observations of a contact zone were performed using a longitudinal line contact of PMMA specimens (i.e., a slider on a stationary base block) under a total normal load of 400 N. Partial propagations of the detachment front were considered as precursor events, and it was found that non-uniform normal loading influences the occurrence frequency of the precursor events and the increasing rate of the propagation length. In the simulation, the time evolution of a multi-degree-of-freedom system with Coulomb friction was studied. The model considered in the simulation comprised multiple masses serially connected by linear springs on a stationary rigid plane. By regarding the precursor in the experiment to correspond to a partial slip (i.e., simultaneous slip of some of the masses) in the simulation, the influence of non-uniform normal loading on the precursor events can be explained to a certain extent. Additionally, it was found that the apparent static friction coefficient (i.e., the ratio of the maximum tangential load to the total normal load) could be lesser than the real static friction coefficient due to the residual strain in the slider.

[1]  T. K. Pratt,et al.  Non-linear analysis of stick/slip motion , 1981 .

[2]  Crack-like processes governing the onset of frictional slip , 2006, cond-mat/0603528.

[3]  J. Dieterich,et al.  Direct observation of frictional contacts: New insights for state-dependent properties , 1994 .

[4]  O M Braun,et al.  Dynamics of transition from static to kinetic friction. , 2009, Physical review letters.

[5]  Ken Nakano,et al.  Two dimensionless parameters controlling the occurrence of stick-slip motion in a 1-DOF system with Coulomb friction , 2006 .

[6]  Ken Nakano,et al.  Occurrence limit of stick‐slip: dimensionless analysis for fundamental design of robust‐stable systems , 2010 .

[7]  Ares J. Rosakis,et al.  Laboratory Earthquakes: The Sub-Rayleigh-to-Supershear Rupture Transition , 2004, Science.

[8]  Nakanishi.  Statistical properties of the cellular-automaton model for earthquakes. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[9]  Jay Fineberg,et al.  Detachment fronts and the onset of dynamic friction , 2004, Nature.

[10]  O. Braun,et al.  Transition from stick-slip to smooth sliding: an earthquakelike model. , 2002, Physical review letters.

[11]  Ken Nakano,et al.  Safety-design criteria of sliding systems for preventing friction-induced vibration , 2009 .

[12]  F. P. Bowden,et al.  The Friction and Lubrication of Solids , 1964 .

[13]  Mitiyasu Ohnaka,et al.  Characteristic features of local breakdown near a crack-tip in the transition zone from nucleation to unstable rupture during stick-slip shear failure , 1990 .

[14]  Ken Nakano,et al.  Stick-slip in sliding systems with tangential contact compliance , 2009 .

[15]  Carlson,et al.  Mechanical model of an earthquake fault. , 1989, Physical review. A, General physics.

[16]  C. Scholz.  The Mechanics of Earthquakes and Faulting , 1990 .

[17]  Olivier Ronsin,et al.  Self-healing slip pulses along a gel/glass interface. , 2002, Physical review letters.

[18]  J. Fineberg,et al.  Dynamics of precursors to frictional sliding. , 2007, Physical review letters.

[19]  Ajay Mahajan,et al.  Noise and Vibration Analysis of a Disc–brake System Using a Stick–slip Friction Model Involving Coupling Stiffness , 2005 .

[20]  Said Ahzi,et al.  Influence of temperature and strain rate on the mechanical behavior of three amorphous polymers: Characterization and modeling of the compressive yield stress , 2006 .

[21]  V. G. Bykov.  Stick-slip and strain waves in the physics of earthquake rupture: experiments and models , 2008 .

[22]  M. Marder,et al.  Friction and fracture , 2001, Nature.

[23]  Rheological aging and rejuvenation in solid friction contacts , 2002, The European physical journal. E, Soft matter.