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Open AccessFeature PaperArticle

Mechanical Integrity of 3D Rough Surfaces during Contact

Laboratory of Industrial and Human Automation Control, Mechanical engineering and Computer Science, LAMIH, UMR CNRS 8201, Université de Valenciennes, 59300 Valenciennes, France
Institut de Mécanique des Fluides, UMR CNRS 5502, 31400 Toulouse, France
Laboratoire Roberval, Université de Technologie de Compiègne, UMR 7337, 60200 Compiègne, France
Laboratoire MSMP, Arts et Métiers ParisTech, 13617 Aix-en-Provence, France
Author to whom correspondence should be addressed.
Coatings 2020, 10(1), 15;
Received: 30 October 2019 / Revised: 16 December 2019 / Accepted: 19 December 2019 / Published: 25 December 2019
(This article belongs to the Special Issue Tribological Behavior of Functional Surface: Models and Methods)
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. View Full-Text
Keywords: surface; roughness; failure analysis; contact modeling; statistic approach surface; roughness; failure analysis; contact modeling; statistic approach
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MDPI and ACS Style

Bigerelle, M.; Plouraboue, F.; Robache, F.; Jourani, A.; Fabre, A. Mechanical Integrity of 3D Rough Surfaces during Contact. Coatings 2020, 10, 15.

AMA Style

Bigerelle M, Plouraboue F, Robache F, Jourani A, Fabre A. Mechanical Integrity of 3D Rough Surfaces during Contact. Coatings. 2020; 10(1):15.

Chicago/Turabian Style

Bigerelle, Maxence; Plouraboue, Franck; Robache, Frederic; Jourani, Abdeljalil; Fabre, Agnes. 2020. "Mechanical Integrity of 3D Rough Surfaces during Contact" Coatings 10, no. 1: 15.

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