Regimes of frictional sliding of a spring-block system

Thibaut Putelat, Jonathan H P Dawes, John R Willis

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)27-53
Number of pages27
JournalJournal of the Mechanics and Physics of Solids
Volume58
Issue number1
DOIs
Publication statusPublished - Jan 2010

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sliding
friction
Friction
dry friction
coefficient of friction
crossovers
Hopf bifurcation
Nonlinear analysis
Creep
Experiments

Keywords

  • Creep
  • Hopf bifurcation
  • Friction
  • Convergence of numerical methods

Cite this

Regimes of frictional sliding of a spring-block system. / Putelat, Thibaut; Dawes, Jonathan H P; Willis, John R.

In: Journal of the Mechanics and Physics of Solids, Vol. 58, No. 1, 01.2010, p. 27-53.

Research output: Contribution to journalArticle

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