Analysis of viscoelastic contact with normal compliance,friction and wear diffusionAnalyse d'un problème viscoélastique avec compliance normale,frottement et diffusion d'usure |
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| Authors: | Meir Shillor Mircea Sofonea JJoachim Telega |
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| Institution: | 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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| Abstract: | 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. To cite this article: M. Shillor et al., C. R. Mecanique 331 (2003). |
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| Keywords: | Solids and structures Nonlinear viscoelastic solid Contact Friction Wear diffusion Solides et structures Solide viscoélastique non linéaire Contact Frottement Diffusion d'usure |
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