Adhesion effects in contact interaction of solids

Irina Goryacheva; Yulya Makhovskaya

doi:10.1016/j.crme.2007.11.003

Adhesion effects in contact interaction of solids

Irina Goryacheva ¹ ; Yulya Makhovskaya ¹

¹ Institute for Problems in Mechanics, prospect Vernadskogo, 101, Moscow 119526, Russia

Comptes Rendus. Mécanique, Duality, inverse problems and nonlinear problems in solid mechanics, Volume 336 (2008) no. 1-2, pp. 118-125.

Abstract
Résumé

An approach to solving problems of the interaction of axisymmetric elastic bodies in the presence of adhesion is developed. The different natures of adhesion, i.e. capillary adhesion, or molecular adhesion described by the Lennard-Jones potential are examined. The effect of additional loading of the interacting bodies outside the contact zone is also investigated. The approach is based on the representation of the pressure outside the contact zone arising from adhesion by a step function. The analytical solution is obtained and is used to analyze the influence of the form of the adhesion interaction potential, of the surface energy of interacting bodies or the films covering the bodies, their shapes (parabolic, higher power exponential function), volume of liquid in the meniscus, density of contact spots, of elastic modulus and the Poisson ratio on the characteristics of the interaction of the bodies in the presence of adhesion.

Une approche de résolution des problèmes d'interaction de corps élastiques axisymétriques en présence d'adhésion est développée. Les différents types d'adhésion, capillaire ou moléculaire décrite par le potentiel de Lennard-Jones, sont examinés. L'effet d'un chargement additionnel des corps en interaction, exercé en dehors de la zone de contact, est également étudié. L'approche repose sur la représentation de la pression hors de la zone de contact due à l'adhésion par une fonction en échelon. Une solution analytique est obtenue et utilisée pour analyser l'influence de la forme du potentiel d'interaction décrivant l'adhésion, de l'énergie de surface des corps en interaction ou des films couvrants, de leur forme (parabolique, exponentielle d'ordre plus élevé), du volume de liquide dans le ménisque, de la densité de points de contact, et du module d'élasticité et du coefficient de Poisson, sur les caractéristiques de l'interaction des corps en présence d'adhésion.

Published online: 2008-01-01

DOI: 10.1016/j.crme.2007.11.003

Keywords: Contact interaction, Capillary adhesion, Molecular adhesion
Mots-clés : Interaction de contact, Adhésion capillaire, Adhésion moléculaire

Author's affiliations:

Irina Goryacheva ¹; Yulya Makhovskaya ¹

¹ Institute for Problems in Mechanics, prospect Vernadskogo, 101, Moscow 119526, Russia

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     author = {Irina Goryacheva and Yulya Makhovskaya},
     title = {Adhesion effects in contact interaction of solids},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {118--125},
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     number = {1-2},
     year = {2008},
     doi = {10.1016/j.crme.2007.11.003},
     language = {en},
}

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Irina Goryacheva; Yulya Makhovskaya. Adhesion effects in contact interaction of solids. Comptes Rendus. Mécanique, Duality, inverse problems and nonlinear problems in solid mechanics, Volume 336 (2008) no. 1-2, pp. 118-125. doi : 10.1016/j.crme.2007.11.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.11.003/

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