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Mechanical integrity of 3D rough surfaces during contact

Bigerelle, Maxence and Plouraboué, Franck and Robache, Frederic and Jourani, Abdeljalil and Fabre, Agnes Mechanical integrity of 3D rough surfaces during contact. (2019) Coatings, 10 (1). 15. ISSN 2079-6412

(Document in English)

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Official URL: https://doi.org/10.3390/coatings10010015


Rough surfaces are in contact locally by the peaks of roughness. At this local scale, the pressure of contact can be sharply superior to the macroscopic pressure. If the roughness is assumed to be a random morphology, a well-established observation in many practical cases, mechanical indicators built from the contact zone are then also random variables. Consequently, the probability density function (PDF) of any mechanical random variable obviously depends upon the morphological structure of the surface. The contact pressure PDF, or the probability of damage of this surface can be determined for example when plastic deformation occurs. In this study, the contact pressure PDF is modeled using a particular probability density function, the generalized Lambda distributions (GLD). The GLD are generic and polymorphic. They approach a large number of known distributions (Weibull, Normal, and Lognormal). The later were successfully used to model damage in materials. A semi-analytical model of elastic contact which takes into account the morphology of real surfaces is used to compute the contact pressure. In a first step, surfaces are simulated by Weierstrass functions which have been previously used to model a wide range of surfaces met in tribology. The Lambda distributions adequacy is qualified to model contact pressure. Using these functions, a statistical analysis allows us to extract the probability density of the maximal pressure. It turns out that this density can be described by a GLD. It is then possible to determine the probability that the contact pressure generates plastic deformation.

Item Type:Article
Additional Information:This article is an open accessarticle distributed under the terms and conditions of the Creative Commons Attribution(CC BY) license (http://creativecommons.org/licenses/by/4.0/).
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Other partners > Arts et Métiers ParisTech (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > Université de Technologie de Compiègne – UTC (FRANCE)
Other partners > Université de Valenciennes et du Hainaut-Cambrésis - UVHC (FRANCE)
Laboratory name:
Deposited On:18 Mar 2020 14:31

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