Comptes Rendus
Effects of multi-scale roughness and frictional heating on solid body contact deformation
Comptes Rendus. Mécanique, Volume 336 (2008) no. 1-2, pp. 149-162.

Solid body contact is restricted to a discrete number of randomly distributed microscopic areas resulting from the deformation of interacting surface protrusions (asperities). The deformation mode of these asperity contacts can be elastic, elastic–plastic, or fully plastic, depending on the local surface interference, asperity radius of curvature, coefficient of friction, and mechanical properties of the solid surfaces. Traditionally, the surface topography has been described by statistical models which rely on unrealistic simplifications of the shape, height, and size of the asperities. Such assumptions were avoided in contemporary contact mechanics analyses, which use fractal geometry to accomplish a surface topography description over a wide range of length scales. The main objective of this article is to provide an assessment of the role of multi-scale topography (roughness) and frictional heating in contact deformation of elastic–plastic solid bodies. Contact relationships, derived at the asperity level, which include the mechanical properties of surface layer and substrate medium, layer thickness, local surface interference, and equivalent asperity radius of curvature, are presented for different modes of deformation. These asperity-level relationships and a fractal model of the surface topography are incorporated into a numerical integration scheme to analyze multi-scale thermomechanical contact deformation over the entire real contact area of homogeneous and layered media possessing realistic surface topographies.

Le contact entre corps solides n'a lieu que sur un nombre fini de zones microscopiques réparties aléatoirement, qui résultent de la déformation d'aspérités en interaction. Le mode de déformation de ces aspérités en contact peut être élastique, partiellement élastique et partiellement plastique, ou complètement plastique, suivant l'interférence locale des surfaces, le rayon de courbure des aspérités, le coefficient de frottement et les propriétés mécaniques des surfaces. Traditionnellement, la topographie des surfaces a été décrite à l'aide de modèles statistiques qui reposent sur des simplifications irréalistes de la forme, la hauteur et la taille des aspérités. Les analyses mécaniques actuelles du contact évitent de telles hypothèses en utilisant la géométrie fractale pour décrire la topographie des surfaces sur une large gamme d'échelles. Le but essentiel de cet article est d'examiner le rôle de la topographie multi-échelles (rugosité) et de l'échauffement par frottement dans la déformation de contact de corps solides élasto-plastiques. Des relations de contact obtenues à l'échelle des aspérités, qui font intervenir les propriétés mécaniques de la zone de surface et du substrat sous-jacent, l'épaisseur de la couche, l'interférence des surfaces et le rayon de courbure équivalent des aspérités, sont présentées pour différents modes de déformation. Ces relations d'origine microscopique, jointes à un modèle fractal de la topographie des surfaces, sont incorporées dans un schéma d'intégration numérique, afin d'analyser la déformation thermomécanique de contact de la totalité de la zone de contact de milieux homogènes et laminés possédant des topographies de surface réalistes.

Published online:
DOI: 10.1016/j.crme.2007.11.005
Keywords: Friction, Asperities, Fractal surfaces, Frictional heating, Homogeneous and layered media, Multi-scale contact deformation, Thermomechanical surface tractions
Mot clés : Friction, Aspérités, Surfaces fractales, Échauffement par frottement, Milieux homogènes et laminés, Déformation de contact multi-échelle, Tractions surfaciques thermomécaniques

Kyriakos Komvopoulos 1

1 Department of Mechanical Engineering, University of California, Berkeley, CA 94720, USA
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Kyriakos Komvopoulos. Effects of multi-scale roughness and frictional heating on solid body contact deformation. Comptes Rendus. Mécanique, Volume 336 (2008) no. 1-2, pp. 149-162. doi : 10.1016/j.crme.2007.11.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.11.005/

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