Rough surface contact analysis by means of the Finite Element Method and of a new reduced model

Vladislav A. Yastrebov; Julian Durand; Henry Proudhon; Georges Cailletaud

doi:10.1016/j.crme.2011.05.006

Surface mechanics: facts and numerical models

Rough surface contact analysis by means of the Finite Element Method and of a new reduced model

Vladislav A. Yastrebov ¹; Julian Durand ¹; Henry Proudhon ¹; Georges Cailletaud ¹

¹ Centre des matériaux, Mines ParisTech, CNRS UMR 7633, BP 87, 91003 Evry cedex, France

Comptes Rendus. Mécanique, Surface mechanics : facts and numerical models, Volume 339 (2011) no. 7-8, pp. 473-490.

Abstract
Résumé

This article presents two approaches of a normal frictionless mechanical contact between an elastoplastic material and a rigid plane: a full scale finite element analysis (FEA) and a reduced model. Both of them use a representative surface element (RSE) of an experimentally measured surface roughness. The full scale FEA is performed with the Finite Element code Zset using its parallel solver. It provides the reference for the reduced model. The ingredients of the reduced model are a series of responses that are calibrated by means of FEA on a single asperity and phenomenological rules to account for asperity–asperity interaction. The reduced model is able to predict the load–displacement curve, the real contact area and the free volume between the contacting pair during the compression of a rough surface against a rigid plane. The CPU time is a few seconds for the reduced model, instead of a few days for the full FEA.

Cet article présente deux approches dʼun contact normal sans frottement entre un matériau élastoplastique et un plan rigide : une simulation complète par élements finis et un modèle simplifié. Les deux approches utilisent un élement représentatif dʼune surface rugueuse mesurée expérimentalement. Le calcul complet a été réalisé avec le code éléments finis Zset en usant dʼune résolution parallèle du problème et celui-ci fournit la solution de référence pour le modèle simplifié. Celui-ci se nourrit dʼune série de courbes de réponse calibrées par des calcul éléments finis modélisant une seule aspérité ainsi que des règles pour tenir compte de lʼinteraction entre aspérités. Le modèle est alors capable de prédire la courbe charge–déplacement, lʼaire réelle de contact et le volume libre laissé entre les deux surfaces de contact au cours de la compression dʼune surface rugueuse par un plan rigide. Le temps CPU est de quelque secondes pour le modèle simplifié contre quelques jours pour le calcul complet par éléments finis.

Published online: 2011-06-21

DOI: 10.1016/j.crme.2011.05.006

Keywords: Roughness, Normal mechanical contact, Real contact area, Free volume, Finite Element Method, Reduced contact algorithm
Mots-clés : Rugosité, Contact mécanique normal, Aire de contact réelle, Volume libre, Méthode des éléments finis, Algorithme de contact simplifié

Author's affiliations:

Vladislav A. Yastrebov ¹; Julian Durand ¹; Henry Proudhon ¹; Georges Cailletaud ¹

¹ Centre des matériaux, Mines ParisTech, CNRS UMR 7633, BP 87, 91003 Evry cedex, France

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     title = {Rough surface contact analysis by means of the {Finite} {Element} {Method} and of a new reduced model},
     journal = {Comptes Rendus. M\'ecanique},
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Vladislav A. Yastrebov; Julian Durand; Henry Proudhon; Georges Cailletaud. Rough surface contact analysis by means of the Finite Element Method and of a new reduced model. Comptes Rendus. Mécanique, Surface mechanics : facts and numerical models, Volume 339 (2011) no. 7-8, pp. 473-490. doi : 10.1016/j.crme.2011.05.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2011.05.006/

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