Stabilization of Frictional Sliding by Normal Load Modulation

[+] Author and Article Information
A. Cochard

Laboratoire de Détection Géophysique, CEA, B. P. 12, 91680 Bruyères-le-Cha⁁tel, France Laboratoire de Géologie (UMR 8538), École Normale Supérieure, 24, rue Lhomond, 75231 Paris, Cedex 05, France

L. Bureau, T. Baumberger

UMR 7588, Université Denis Diderot (Paris 7), 2, place Jussieu, 75251 Paris, Cedex 05, France

J. Appl. Mech 70(2), 220-226 (Mar 27, 2003) (7 pages) doi:10.1115/1.1546241 History: Received August 24, 2001; Revised April 24, 2002; Online March 27, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.


Dieterich,  J. H., 1979, “Modeling of Rock Friction 1. Experimental Results and Constitutive Equations,” J. Geophys. Res., 84, pp. 2161–2168.
Rice,  J. R., and Ruina,  A. L., 1983, “Stability of Steady Frictional Slipping,” ASME J. Appl. Mech., 105, pp. 343–349.
Rabinowicz, E., 1965, Friction and Wear of Materials, John Wiley and Sons, New York.
Heslot,  F., Baumberger,  T., Perrin,  B., Caroli,  B., and Caroli,  C., 1994, “Creep, Stick-Slip, and Dry Friction Dynamics: Experiments and a Heuristic Model,” Phys. Rev. E, 49, pp. 4973–4988.
Baumberger,  T., Berthoud,  P., and Caroli,  C., 1999, “Physical Analysis of the State- and Rate-Dependent Friction Law: II. Dynamic Friction,” Phys. Rev. B, 60, pp. 3928–3939.
Ronsin,  O., and Labastie-Coueyrehourcq,  K., 2001, “State, Rate and Temperature-Dependent Sliding Friction of Elastomers,” Proc. R. Soc. London, Ser. A, 457, pp. 1277–1294.
Berthoud,  P., Baumberger,  T., G’Sell,  C., and Hiver,  J.-M., 1999, “Physical Analysis of the State- and Rate-Dependent Friction Law: Static Friction,” Phys. Rev. B, 59, pp. 14,313–14,327.
Dieterich,  J. H., and Kilgore,  D., 1994, “Direct Observation of Frictional Contacts: New Insights for State-Dependent Properties,” Pure Appl. Geophys., 43, pp. 283–302.
Greenwood,  J. A., and Williamson,  J. B. P., 1966, “Contact of Nominally Flat Surfaces,” Proc. R. Soc. London, Ser. A, 295, pp. 300–319.
Baumberger,  T., Caroli,  C., Perrin,  B., and Ronsin,  O., 1995, “Nonlinear Analysis of the Stick-Slip Bifurcation in the Creep-Controlled Regime of Dry Friction,” Phys. Rev. E, 51, pp. 4005–4010.
Bowden, F. P., and Tabor, D., 1950, Friction and Lubrication of Solids, Clarendon, Oxford, UK.
Dupont,  P. E., and Bapna,  D., 1994, “Stability of Sliding Frictional Surfaces With Varying Normal Force,” ASME J. Vibr. Acoust., 116, pp. 237–242.
Linker,  M., and Dieterich,  J. H., 1992, “Effects of Variable Normal Stress on Rock Friction: Observations and Constitutive Equations,” J. Geophys. Res., 124, pp. 445–485.
Perfettini,  H., Schmittbuhl,  J., Rice,  J. R., and Cocco,  M., 2001, “Frictional Response Induced by Time-Dependent Fluctuations of the Normal Loading,” J. Geophys. Res., 106(B7), pp. 13,455–13,472.
Richardson,  E., and Marone,  C., 1999, “Effects of Normal Stress Vibrations on Frictional Heating,” J. Geophys. Res., 104, pp. 28,859–28,878.
Akay,  A., 2002, “Acoustics of Friction,” J. Acoust. Soc. Am., 111, pp. 1525–1548, and references therein.
Polycarpou,  A. A., and Soom,  A., 1995, “Boundary and Mixed Friction in the Presence of Dynamic Normal Loads: Part II—Friction Transients,” ASME J. Tribol., 117, pp. 261–266.
Bureau,  L., Baumberger,  T., and Caroli,  C., 2000, “Shear Response of a Frictional Interface to a Normal Load Modulation,” Phys. Rev. E, 62, pp. 6810–6820.
Baumberger,  T., Bureau,  L., Busson,  M., Falcon,  E., and Perrin,  B., 1998, “An Inertial Tribometer for Measuring Microslip Dissipation at a Solid-Solid Multicontact Interface,” Rev. Sci. Instrum., 69, pp. 2416–2420.
Berthoud,  P., and Baumberger,  T., 1998, “Shear Stiffness of a Solid-Solid Multicontact Interface,” Proc. R. Soc. London, Ser. A, 454, pp. 1615–1634.
Feudel,  U., and Jansen,  W., 1992, “CANDYS/QA—A Software System for the Qualitative Analysis of Nonlinear Dynamical Systems,” Int. J. Bifurcation Chaos Appl. Sci. Eng., 2, pp. 773–794. See also http://www.agnld.uni-potsdam.de/wolfgang/wolfgang.html
Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P., 1992, Numerical Recipes, Cambridge University Press, Cambridge, UK.
Baumberger,  T., and Gauthier,  L., 1996, “Relaxation at the Interface Between Rough Solids Under Shear,” J. Phys. I, 6, pp. 1021–1025.


Grahic Jump Location
Main elements of the experimental setup: translation stage (Drv); loading leaf spring (Lsp); displacement gauge (Gg); vibration exciter (Vb); weighting spring (Spr); accelerometer (Acc). The labeled parameters (K, V, M, γ) are defined in the text.
Grahic Jump Location
Stability diagram for different values of the modulation amplitude. For given V and εeff, bifurcation from stick-slip to stable sliding occurs when the control parameter K/W0 overcomes the plotted critical value: εeff=0 (•); 0.045 (▵); 0.09 (▪); 0.13 (□); 0.18 (▴). For the sake of clarity, typical standard deviations are plotted as error bars only for εeff=0. The solid line curves are the output of the numerical study (see Section 3.3). The larger εeff the lower the curve at V=1 μm⋅s−1.
Grahic Jump Location
Time evolution of the loading spring elongation for V=8 μm⋅s−1 and different modulation amplitudes εeff indicated at the right end of each trace. A vertical offset has been added to each trace in order to display clearly the bifurcation sequence from stick-slip to stable sliding. The inset is a blow up of the stable sliding trace showing the remaining oscillating response at the frequency of the load modulation (f=120 Hz, much higher than the stick-slip frequency).
Grahic Jump Location
Reduced critical load versus εeff for different driving velocities: V(μm⋅s−1)=1 (▵); 5 (•); 10 (□); 30 (▪); 50 (○). The curves are the output of the numerical study (see Section 3.3) labeled with the corresponding velocities in μm⋅s−1 .
Grahic Jump Location
Equivalent mechanical circuit of the slider/track system. K is the stiffness of the loading spring, κ is the one of the interface.




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In