Penetration of self-affine fractal rough rigid bodies into a model elastomer having a linear viscous rheology

Kürschner, Silvio; Popov, Valentin L.

doi:10.1103/physreve.87.042802

Cited by 19 publications

(10 citation statements)

References 29 publications

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“…At a given indentation depth, the contact configuration does not depend on the elastic properties of the medium, and it will be the same even for indentation of a viscous fluid or of any linearly viscoelastic material. This general behavior was recognized by Lee and Radok2223 and was verified numerically for fractal rough surfaces15. Further, the contact configuration at a given depth remains approximately invariant for media with thin coatings24 or for multi-layered systems, provided the difference of elastic properties of the different layers is not too large25.…”

Section: Resultsmentioning

confidence: 63%

Generalized law of friction between elastomers and differently shaped rough bodies

Popov¹,

Voll²,

Li³

et al. 2014

Sci Rep

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In this paper, we study theoretically and experimentally the friction between a rough parabolic or conical profile and a flat elastomer beyond the validity region of Amontons' law. The roughness is assumed to be randomly self-affine with a Hurst exponent H in the range from 0 to 1. We first consider a simple Kelvin body and then generalize the results to media with arbitrary linear rheology. The resulting frictional force as a function of velocity shows the same qualitative behavior as in the case of planar surfaces: it increases monotonically before reaching a plateau. However, the dependencies on normal force, sliding velocity, shear modulus, viscosity, rms roughness, rms surface gradient and the Hurst exponent are different for different macroscopic shapes. We suggest analytical relations describing the coefficient of friction in a wide range of loading conditions and suggest a master curve procedure for the dependence on the normal force. Experimental investigation of friction between a steel ball and a polyurethane rubber for different velocities and normal forces confirms the proposed master curve procedure.

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Section: Resultsmentioning

confidence: 63%

Generalized law of friction between elastomers and differently shaped rough bodies

Popov¹,

Voll²,

Li³

et al. 2014

Sci Rep

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“…Based on the contact mechanics of both rotationally symmetric profiles33 and self-affine fractal surfaces34, it was recently suggested that the results obtained with one-dimensional foundations may have a broad area of applicability if the rules of the method of dimensionality reduction (MDR)353637 are observed. The MDR was criticized by Lyashenko et.…”

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confidence: 99%

Kinetics of the coefficient of friction of elastomers

Li¹,

Dimaki

Попов

et al. 2014

Sci Rep

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We study theoretically and numerically the kinetics of the coefficient of friction of an elastomer due to abrupt changes of sliding velocity. Numerical simulations reveal the same qualitative behavior which has been observed experimentally on different classes of materials: the coefficient of friction first jumps and then relaxes to a new stationary value. The elastomer is modeled as a simple Kelvin body and the surface as a self-affine fractal with a Hurst exponent in the range from 0 to 1. Parameters of the jump of the coefficient of friction and the relaxation time are determined as functions of material and loading parameters. Depending on velocity and the Hurst exponent, relaxation of friction with characteristic length or characteristic time is observed.

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“…This general behavior was recognized by Lee and Radok [9,10] and was verified numerically for fractal rough surfaces [11]. Further, the contact configuration at a given depth remains approximately invariant for media with thin coatings [12] and for multi-layered systems, provided the difference of elastic properties of the different layers is not too large [13].…”

Section: Indentation Depth As a Governing Parameter Of Contact Configmentioning

confidence: 62%

On the role of scales in elastomer friction

Popov

Psakhie²,

Попов³

2014

AIP Conference Proceedings

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Abstract. The paper is devoted to a general analysis of friction of elastomers from the point of view of scales contributing to the force of friction. We argue that-contrary to the wide spread opinion-elastomer friction is not a multiscale phenomenon, but is governed mostly by the interplay of only two scales-the largest and the smallest scales of roughness of the contacting bodies. This is illustrated by analyzing the main ideas of the theory of elastomer friction based on the paradigm of Greenwood, Tabor and Grosch. The same conclusions can be obtained from the widely used contact theory proposed by Persson.

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Penetration of self-affine fractal rough rigid bodies into a model elastomer having a linear viscous rheology

Cited by 19 publications

References 29 publications

Generalized law of friction between elastomers and differently shaped rough bodies

Generalized law of friction between elastomers and differently shaped rough bodies

Kinetics of the coefficient of friction of elastomers

On the role of scales in elastomer friction

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