Dynamics of Dry Friction: A Numerical Investigation

• Main Authors: LIM, Yun Fong, Chen, Kan
• Format: text
• Language: English
• Published: Institutional Knowledge at Singapore Management University 1998
• Subjects: STICK-SLIP; DEPENDENT FRICTION; ROCK FRICTION; CREEP; STABILITY; MOTION; MODEL; TIME; Business; Management Sciences and Quantitative Methods
• Online Access: https://ink.library.smu.edu.sg/lkcsb_research/879; https://ink.library.smu.edu.sg/context/lkcsb_research/article/1878/viewcontent/yflim_PRE1998.pdf
• Institution: Singapore Management University

We perform extended numerical simulation of the dynamics of dry friction, based on a model derived from the phenomenological description proposed by Baumberger et al. [Nature (London) 367, 544 (1994)] and Heslot et al. [Phys. Rev. E 49, 4973 (1994)]. Under a quasistationary approximation, the model is related to the Dieterich-Ruina aging (or slowness) law, which was introduced by Dieterich [Pure Appl. Geophys. 116, 790 (1978); J. Geophys. Res. 84, 2161 (1979); in Mechanical Behavior of Crustal Rocks, edited by N. L. Carter et al., Geophysics Monograph No. 24 (AGU, Washington, DC, 1981), p. 103] and Ruina [J. Geophys. Res. 88, 10 359 (1983)] on the basis of experiments on rocks. We obtain a dynamical phase diagram that agrees well with the experimental results on the paper-on-paper systems. In particular, the bifurcation between the stick-slip motion and steady sliding is shown to change from a direct (supercritical) Hopf type to an inverted (subcritical) one as the driving velocity increases, in agreement with the experiments.