Boundary lubrication with a glassy interface.

Recently introduced constitutive equations for the rheology of dense, disordered materials are investigated in the context of stick-slip experiments in boundary lubrication. The model is based on a generalization of the shear transformation zone (STZ) theory, in which plastic deformation is represented by a population of mesoscopic regions which may undergo nonaffine deformations in response to stress. The generalization we study phenomenologically incorporates the effects of aging and glassy relaxation. Under experimental conditions associated with typical transitions from stick-slip to steady sliding and stop-start tests, these effects can be dominant, although the full STZ description is necessary to account for more complex, chaotic transitions.

[1]  Gollub,et al.  Mechanisms for slow strengthening in granular materials , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[2]  S. Granick,et al.  STICK TO SLIP TRANSITION AND ADHESION OF LUBRICATED SURFACES IN MOVING CONTACT , 1994 .

[3]  Arthur K. Doolittle,et al.  Studies in Newtonian Flow. II. The Dependence of the Viscosity of Liquids on Free‐Space , 1951 .

[4]  V. Arnold Mathematical Methods of Classical Mechanics , 1974 .

[5]  John B. Rundle,et al.  Geocomplexity and the Physics of Earthquakes , 2000 .

[6]  R. Richert,et al.  Dynamics of hydrogen‐bonded liquids confined to mesopores: A dielectric and neutron spectroscopy study , 1995 .

[7]  John R. Rice,et al.  Dynamic motion of a single degree of freedom system following a rate and state dependent friction law , 1986 .

[8]  U. Landman,et al.  Structure and dynamics of n‐alkanes confined by solid surfaces. I. Stationary crystalline boundaries , 1992 .

[9]  A. K. Doolittle,et al.  Studies in Newtonian Flow. V. Further Verification of the Free‐Space Viscosity Equation , 1957 .

[10]  M. Robbins,et al.  Origin of Stick-Slip Motion in Boundary Lubrication , 1990, Science.

[11]  T. Boutreux,et al.  Compaction of granular mixtures: a free volume model , 1997 .

[12]  S. Edwards,et al.  Theory of powders , 1989 .

[13]  M. Falk Molecular-dynamics study of ductile and brittle fracture in model noncrystalline solids , 1998, cond-mat/9803058.

[14]  L. Struik Physical aging in amorphous polymers and other materials , 1978 .

[15]  R. Hill,et al.  Thin Film Rheology and Tribology of Confined Polymer Melts: Contrasts with Bulk Properties , 1997 .

[16]  Shearing a glassy material: numerical tests of nonequilibrium mode-coupling approaches and experimental proposals. , 2001, Physical review letters.

[17]  Andrea J. Liu,et al.  Effective temperatures of a driven system near jamming. , 2001, Physical review letters.

[18]  J. Israelachvili,et al.  Dynamic Behavior of Confined Branched Hydrocarbon Lubricant Fluids under Shear , 2000 .

[19]  S. Granick,et al.  Motions and Relaxations of Confined Liquids , 1991, Science.

[20]  A. Ruina,et al.  Stability of Steady Frictional Slipping , 1983 .

[21]  D. Turnbull,et al.  Free‐Volume Model of the Amorphous Phase: Glass Transition , 1961 .

[22]  B. Persson Theory of friction and boundary lubrication , 1993 .

[23]  A. Argon,et al.  Plastic flow in a disordered bubble raft (an analog of a metallic glass) , 1979 .

[24]  F. Heslot,et al.  Creep, stick-slip, and dry-friction dynamics: Experiments and a heuristic model. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[25]  S. Takeuchi,et al.  Microscopic Mechanism of Plastic Deformation in Metallic Glasses , 1987 .

[26]  James S. Langer,et al.  From Simulation to Theory in the Physics of Deformation and Fracture , 2000 .

[27]  D. Turnbull,et al.  ON THE FREE-VOLUME MODEL OF THE LIQUID-GLASS TRANSITION. , 1970 .

[28]  Robbins,et al.  Simulations of shear-induced melting and ordering. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[29]  J. Israelachvili,et al.  Dynamic Properties of Molecularly Thin Liquid Films , 1988, Science.

[30]  Jianping Gao,et al.  Structures, solvation forces and shear of molecular films in a rough nano-confinement , 2000 .

[31]  J. Israelachvili,et al.  Identification of a Second Dynamic State During Stick-Slip Motion , 1993, Science.

[32]  Jianping Gao,et al.  Layering Transitions and Dynamics of Confined Liquid Films , 1997 .

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

[34]  H. Eyring Viscosity, Plasticity, and Diffusion as Examples of Absolute Reaction Rates , 1936 .

[35]  Robbins,et al.  Shear flow near solids: Epitaxial order and flow boundary conditions. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[36]  Anaël Lemaître,et al.  Rearrangements and dilatancy for sheared dense materials. , 2002, Physical review letters.

[37]  Klafter,et al.  Origin of stick-slip motion in a driven two-wave potential. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[38]  ENERGY FLOW, PARTIAL EQUILIBRATION, AND EFFECTIVE TEMPERATURES IN SYSTEMS WITH SLOW DYNAMICS , 1997, cond-mat/9611044.

[39]  Arshad Kudrolli,et al.  Friction in Granular Layers: Hysteresis and Precursors , 1997 .

[40]  Frans Spaepen,et al.  A microscopic mechanism for steady state inhomogeneous flow in metallic glasses , 1977 .

[41]  J. Dieterich Modeling of rock friction: 1. Experimental results and constitutive equations , 1979 .

[42]  J. Dieterich Time-dependent friction and the mechanics of stick-slip , 1978 .

[43]  A. Argon Plastic deformation in metallic glasses , 1979 .

[44]  Heinrich M. Jaeger,et al.  Density fluctuations in vibrated granular materials , 1998 .

[45]  Remo Guidieri Res , 1995, RES: Anthropology and Aesthetics.

[46]  Patricia McGuiggan,et al.  Liquid to solidlike transitions of molecularly thin films under shear , 1990 .

[47]  R. Stinchcombe,et al.  Marginal scaling scenario and analytic results for a glassy compaction model. , 2002, Physical review letters.

[48]  J. Israelachvili,et al.  Transitions between smooth and complex stick-slip sliding of surfaces. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[49]  J. Klafter,et al.  Atomic Scale Friction and Different Phases of Motion of Embedded Molecular Systems , 1998 .

[50]  S. Nasuno,et al.  TIME-RESOLVED STUDIES OF STICK-SLIP FRICTION IN SHEARED GRANULAR LAYERS , 1998 .

[51]  Adriano A. Batista,et al.  Bifurcations from steady sliding to stick slip in boundary lubrication , 1998 .

[52]  J. Israelachvili,et al.  Direct measurement of structural forces between two surfaces in a nonpolar liquid , 1981 .

[53]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[54]  J. Langer,et al.  Dynamics of viscoplastic deformation in amorphous solids , 1997, cond-mat/9712114.

[55]  Jianping Gao,et al.  Structure and solvation forces in confined films: Linear and branched alkanes , 1997 .

[56]  Persson Theory and simulation of sliding friction. , 1993, Physical review letters.

[57]  Persson Theory of friction: The role of elasticity in boundary lubrication. , 1994, Physical review. B, Condensed matter.

[58]  Perrin,et al.  Nonlinear analysis of the stick-slip bifurcation in the creep-controlled regime of dry friction. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

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

[60]  Carlson,et al.  Constitutive relation for the friction between lubricated surfaces. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[61]  Granick,et al.  Friction Fluctuations and Friction Memory in Stick-Slip Motion. , 1996, Physical review letters.

[62]  J. Israelachvili,et al.  Dynamic phase transitions in confined lubricant fluids under shear. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[64]  J. Rottler,et al.  Shear yielding of amorphous glassy solids: effect of temperature and strain rate. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[65]  Thompson,et al.  Granular flow: Friction and the dilatancy transition. , 1991, Physical review letters.

[66]  A. Argon,et al.  Development of visco-plastic deformation in metallic glasses , 1983 .

[67]  J. H. Cushman,et al.  Shear Forces in Molecularly Thin Films , 1989, Science.

[68]  S. Takeuchi,et al.  Atomistic process of plastic deformation in a model amorphous metal , 1981 .

[69]  Klafter,et al.  Dynamics of confined liquids under shear. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[70]  A. Ruina Slip instability and state variable friction laws , 1983 .

[71]  S. Edwards,et al.  Statistical mechanics of powder mixtures , 1989 .

[72]  B. Perrin,et al.  Crossover from creep to inertial motion in friction dynamics , 1994, Nature.

[73]  I. Bitsanis,et al.  The origin of ‘‘glassy’’ dynamics at solid–oligomer interfaces , 1993 .

[74]  Demirel,et al.  Glasslike Transition of a Confined Simple Fluid. , 1996, Physical review letters.

[75]  J. Gollub,et al.  Frictional mechanics of wet granular material. , 1998, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[76]  J. Kurchan,et al.  Testing the thermodynamic approach to granular matter with a numerical model of a decisive experiment , 2002, Nature.

[77]  Fluctuation-dissipation relation in a sheared fluid. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[78]  Robbins,et al.  Phase transitions and universal dynamics in confined films. , 1992, Physical review letters.