Statistics of the separation between sliding rigid rough surfaces: Simulations and extreme value theory approach

Ponthus, Nicolas; Scheibert, Julien; Thøgersen, Kjetil; Malthe‐Sørenssen, Anders; Perret-Liaudet, Joël

doi:10.1103/physreve.99.023004

Cited by 8 publications

(6 citation statements)

References 39 publications

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“…The large wavenumber cutoff is close to the maximum wavenumber accessible (q max 2 µm −1 ) given the spatial resolution of the measurement (∆x=2µm). 2µm is also the radius of curvature of the tip used to probe the topography, so that the large wavenumber cutoff most probably corresponds to the geometrical filtering by the finite-sized probe [38,39].…”

Section: Supplemental Materialsmentioning

confidence: 99%

Shear-Induced Anisotropy in Rough Elastomer Contact

et al. 2019

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True contact between randomly rough solids consists of myriad individual micro-junctions. While their total area controls the adhesive friction force of the interface, other macroscopic features, including viscoelastic friction, wear, stiffness and electric resistance, also strongly depend on the size and shape of individual micro-junctions. Here we show that, in rough elastomer contacts, the shape of micro-junctions significantly varies as a function of the shear force applied to the interface. This process leads to a growth of anisotropy of the overall contact interface, which saturates in macroscopic sliding regime. We show that smooth sphere/plane contacts have the same shearinduced anisotropic behaviour as individual micro-junctions, with a common scaling law over four orders of magnitude in initial area. We discuss the physical origin of the observations in the light of a fracture-based adhesive contact mechanics model, described in the companion article, which captures the smooth sphere/plane measurements. Our results shed light on a generic, overlooked source of anisotropy in rough elastic contacts, not taken into account in current rough contact mechanics models.

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Section: Supplemental Materialsmentioning

confidence: 99%

Shear-Induced Anisotropy in Rough Elastomer Contact

et al. 2019

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“…The macroscopic behaviour of the interface is then the emerging, collective response of the population of microjunctions [7,8,9]. Second, continuum models in which the input quantity is the full topography of the rough surfaces, and an exact solution of the unilateral contact and friction problem is seeked [10,11,12], again under some assumptions on the interfacial behaviour, concerning e.g. elasticity, friction and adhesion.…”

Section: Introductionmentioning

confidence: 99%

Onset of Sliding of Elastomer Multicontacts: Failure of a Model of Independent Asperities to Match Experiments

2020

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Modelling of rough frictional interfaces is often based on asperity models, in which the individual behaviour of individual microjunctions is assumed. In the absence of local measurements at the microjunction scale, quantitative comparison of such models with experiments is usually based only on macroscopic quantities, like the total tangential load resisted by the interface. Recently however, a new experimental dataset was presented on the onset of sliding of rough elastomeric interfaces, which includes local measurements of the contact area of the individual microjunctions. Here, we use this more comprehensive dataset to test the possibility of quantitatively matching the measurements with a model of independent asperities, enriched with experimental information about the area of microjunctions and its evolution under shear. We show that, despite using parameter values and behaviour laws constrained and inspired by experiments, our model does not quantitatively match the macroscopic measurements. We discuss the possible origins of this failure.

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“…The macroscopic behavior of the interface is then the emerging, collective response of the population of microjunctions (Trømborg et al, 2014;Braun and Peyrard, 2018;Costagliola et al, 2018). Second, continuum models in which the input quantity is the full topography of the rough surfaces, and an exact solution of the unilateral contact and friction problem is seeked Yastrebov et al, 2017;Ponthus et al, 2019), again under some assumptions on the interfacial behavior, concerning, e.g., elasticity, friction, and adhesion.…”

Section: Introductionmentioning

confidence: 99%

Contact Mechanics Perspective of Tribology

2021

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Statistics of the separation between sliding rigid rough surfaces: Simulations and extreme value theory approach

Cited by 8 publications

References 39 publications

Shear-Induced Anisotropy in Rough Elastomer Contact

Shear-Induced Anisotropy in Rough Elastomer Contact

Onset of Sliding of Elastomer Multicontacts: Failure of a Model of Independent Asperities to Match Experiments

Contact Mechanics Perspective of Tribology

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