Comptes Rendus
Analysis of viscoelastic contact with normal compliance, friction and wear diffusion
Comptes Rendus. Mécanique, Volume 331 (2003) no. 6, pp. 395-400.

We consider a quasistatic problem of frictional contact between a viscoelastic body and a moving foundation. The contact is with wear and is modeled by normal compliance and a law of dry friction. The novelty in the model is that it allows for the diffusion of the wear debris over the potential contact surface. Such kind of phenomena arise in orthopaedic biomechanics and influence the properties of joint prosthesis. We derive a weak formulation of the problem and state that, under a smallness assumption on the problem data, there exists a unique weak solution for the model.

Nous considérons un problème quasistatique de contact entre un corps viscoélastique et une fondation mobile. Le contact est avec usure et se modélise avec compliance normale et une loi de frottement sec. La principale nouveauté du modèle réside dans le fait qu'il prend en considération la diffusion des débris d'usure sur la surface potentielle de contact. Ce phénomème est rencontré en biomécanique orthopédique et il influence les propriétés des prothèses. Nous présentons une formulation variationnelle du problème et, sous une hypothèse de petitesse, nous présentons l'existence et l'unicité de la solution faible du modèle.

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Accepted:
Published online:
DOI: 10.1016/S1631-0721(03)00086-X
Keywords: Solids and structures, Nonlinear viscoelastic solid, Contact, Friction, Wear diffusion
Mot clés : Solides et structures, Solide viscoélastique non linéaire, Contact, Frottement, Diffusion d'usure

Meir Shillor 1; Mircea Sofonea 2; J.Joachim Telega 3

1 Department of Mathematics and Statistics, Oakland University, Rochester, MI 48309, USA
2 Laboratoire de Théorie de Systèmes, Université de Perpignan, 52, avenue de Villeneuve, 66860 Perpignan, France
3 Inst. Fundamental Technological Research, Polish Academy of Sciences, Swietokrzyska 21, 00-049 Warsaw, Poland
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Meir Shillor; Mircea Sofonea; J.Joachim Telega. Analysis of viscoelastic contact with normal compliance, friction and wear diffusion. Comptes Rendus. Mécanique, Volume 331 (2003) no. 6, pp. 395-400. doi : 10.1016/S1631-0721(03)00086-X. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(03)00086-X/

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