Constitutive relation for the friction between lubricated surfaces

Carlson, Jean M.; Batista, Adriano A.

doi:10.1103/physreve.53.4153

Cited by 156 publications

(113 citation statements)

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“…It has been shown that there were transformations between different types of dynamic phases during sliding [3]. These transformations show up as intermittent (stick-slip) friction [4][5][6][7], which is characterized by periodic transitions between two or more dynamic states during the stationary sliding. The stick-slip friction is the major reason for destruction and wear of rubbing parts.…”

Section: Introductionmentioning

confidence: 99%

Phase Dynamics and Kinetics of Thin Lubricant Film Driven by Correlated Temperature Fluctuations

Хоменко

Lyashenko

2007

Fluct. Noise Lett.

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The melting of an ultrathin lubricant film is studied at friction between atomically flat surfaces. We take into account fluctuations of lubricant temperature, which are defined by the Ornstein-Uhlenbeck process. Phase diagrams and portraits are calculated for second-and first-order transitions (the melting of an amorphous and that of a crystalline lubricants, respectively). It is shown that, in the former case, a stick-slip friction domain, separating the regions of dry and sliding friction, appears. In the latter case, three domains of stick-slip friction arise, which are characterized by the transitions between dry, metastable and stable sliding friction. The increase in the correlation time of lubricant temperature fluctuations leads to increasing in the rubbing-surface temperature needed for realization of sliding friction. The stationary states, corresponding to dry, stable and metastable sliding friction, are reached as a result of damped oscillations.

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Section: Introductionmentioning

confidence: 99%

Phase Dynamics and Kinetics of Thin Lubricant Film Driven by Correlated Temperature Fluctuations

Хоменко

Lyashenko

2007

Fluct. Noise Lett.

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“…These experiments span a vast range of lengths, and include studies at the atomic[14], lab [7,8,11,12,13], and geological scale [9,10]. Recent experiments by Ovarlez et al…”

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confidence: 99%

“…These experiments span a vast range of lengths, and include studies at the atomic [14], lab [7,8,11,12,13], and geological scale [9,10]. Recent experiments by Ovarlez et al [6] using granular materials sliding against the interior wall of a piston showed clear rate dependence that was associated with aging effects of individual solid-friction contacts and with the force network.…”

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confidence: 99%

Logarithmic rate dependence of force networks in sheared granular materials

Hartley

Behringer

2003

Nature

177

145

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Rate-independence for stresses within a granular material is a basic tenet of many models for slow dense granular flows [1,2,3,4,5]. By contrast, logarithmic rate dependence of stresses is found in solid-on-solid friction [6,7,8], in geological settings [9,10], and elsewhere [11,12,13,14]. In this work, we show that logarithmic rate-dependence occurs in granular materials for plastic (irreversible) deformations that occur during shearing but not for elastic (reversible) deformations, such as those that occur under moderate repetitive compression. Increasing the shearing rate, Ω, leads to an increase in the stress and the stress fluctuations that at least qualitatively resemble what occurs due to an increase in the density. Increases in Ω also lead to qualitative changes in the distributions of stress build-up and relaxation events. If shearing is stopped at t = 0 , stress relaxations occur with σ(t)/σ(t = 0) ≃ A log(t/to) . This collective relaxation of the stress network over logarithmically long times provides a mechanism for rate-dependent strengthening.PACS numbers: PACS numbers: 46.10.+z, 47.20.-k Slow granular flows, the subject of this letter, are typically described in the context of Mohr-Coulomb friction models[2] that resemble those used for describing friction between two solid bodies [15]. In the well-known solid friction scenario [16,17], an object on a frictional surface will resist a force and remain at rest provided the magnitude of the tangential force is less than the product of a static friction coefficient and the normal force. This picture was translated into the granular context (for dense granular systems characterized by networks of force chains [18]) by Coulomb[19] and more recent authors [1,2], where the normal and tangential forces are replaced by corresponding normal and shear stresses, and the surface of interaction is replaced by a plane within the material. For large enough tangential force (shear stress) relative to the normal force (normal stress) sliding friction (failure in a granular material) occurs. In these pictures, sliding friction (deformation following failure) is independent of the speed of sliding (the shear rate).In reality, experiments in diverse contexts have shown that solid friction exhibits a logarithmic dependence on rate and that static frictional contacts strengthen logarithmically with age. These experiments span a vast range of lengths, and include studies at the atomic[14], lab [7,8,11,12,13], and geological scale [9,10]. Recent experiments by Ovarlez et al.[6] using granular materials sliding against the interior wall of a piston showed clear rate dependence that was associated with aging effects of individual solid-friction contacts and with the force network. Additionally, experiments by Nasuno et al. [7,8] in which a solid surface was pushed across a granular bed showed a slow strengthening (or aging) with time of the (quasi-static) force. In the present experiments, which zoom in uniquely on the grains, we show that there is a * Electronic address...

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“…In the case of polymer and selfassembled monolayers 20-22, shear experiments at the nanoscale also show long relaxation times, characteristic memory length and link friction dynamics to molecular organization. In order to account for these effects, various models have been developed to describe the frictional response of dry/lubricated single/multi-asperity contacts [23][24][25][26][27][28][29][30]. For instance, the so-called phenomenological 'state and rate' approach assumes that the interfacial area is large enough to self-average and allows one to model the collective dependence of friction on both the internal degrees of freedom of the interfacial layer and the characteristics of the shear motion.…”

Section: Introductionmentioning

confidence: 99%

Friction-induced vibration of a lubricated mechanical system

Sinou

Cayer-Barrioz

Berro

2013

Tribology International

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In a lubricated interface, the local dynamic responses can be complex and depend on molecular effects in the confined lubricating films. In a mechanical system comprising one or more of such interfaces, the influence of the local interfacial behaviour on the total vibrational response remains largely unknown. In this work, we propose a numerical model that incorporates realistic laws of local friction issued from previous experimental results. The objective is to characterize the dynamics of a lubricated system and to study its complex global responses triggered by the local interfacial behaviour. Both the stability analysis and vibrational oscillations of the mechanical system will be investigated through various operating conditions.

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Constitutive relation for the friction between lubricated surfaces

Cited by 156 publications

References 20 publications

Phase Dynamics and Kinetics of Thin Lubricant Film Driven by Correlated Temperature Fluctuations

Phase Dynamics and Kinetics of Thin Lubricant Film Driven by Correlated Temperature Fluctuations

Logarithmic rate dependence of force networks in sheared granular materials

Friction-induced vibration of a lubricated mechanical system

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