TY - JOUR
T1 - Regimes of frictional sliding of a spring-block system
AU - Putelat, Thibaut
AU - Dawes, Jonathan H P
AU - Willis, John R
PY - 2010/1
Y1 - 2010/1
N2 - In the context of rate-and-state friction, we revisit the crossover between the creep and inertial regimes in the dynamics of a spring-block system as observed and described in the dry friction experiment of Heslot et al. (1994) and Baumberger et al. (1994). We show that the transition between the quasi-static motion of a spring-block and its dynamic motion occurs at a lower sliding velocity than that which minimises the steady-state friction coefficient. We perform a weakly nonlinear stability analysis combined with numerical studies with the continuation package Auto. In particular, attention is focused on the change of nature the Hopf bifurcation from supercritical to subcritical, as observed by Heslot et al. Comparing the results obtained for different friction laws, we conclude that the weakly nonlinear analysis provides a possible criterion for distinguishing which friction laws may be physically relevant. 2009 Elsevier Ltd. All rights reserved.
AB - In the context of rate-and-state friction, we revisit the crossover between the creep and inertial regimes in the dynamics of a spring-block system as observed and described in the dry friction experiment of Heslot et al. (1994) and Baumberger et al. (1994). We show that the transition between the quasi-static motion of a spring-block and its dynamic motion occurs at a lower sliding velocity than that which minimises the steady-state friction coefficient. We perform a weakly nonlinear stability analysis combined with numerical studies with the continuation package Auto. In particular, attention is focused on the change of nature the Hopf bifurcation from supercritical to subcritical, as observed by Heslot et al. Comparing the results obtained for different friction laws, we conclude that the weakly nonlinear analysis provides a possible criterion for distinguishing which friction laws may be physically relevant. 2009 Elsevier Ltd. All rights reserved.
KW - Creep
KW - Hopf bifurcation
KW - Friction
KW - Convergence of numerical methods
UR - http://www.scopus.com/inward/record.url?scp=70350620700&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1016/j.jmps.2009.09.001
U2 - 10.1016/j.jmps.2009.09.001
DO - 10.1016/j.jmps.2009.09.001
M3 - Article
SN - 0022-5096
VL - 58
SP - 27
EP - 53
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
IS - 1
ER -