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Multiscale solution of the mechanical contact between coated knee prosthesis and bone

: Orlik, Julia; Zemitis, Aivars; Andrä, Heiko

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European Community on Computational Methods in Applied Science -ECCOMAS-:
Multi-scale Computational Methods for Solids and Fluids. Information Booklet & Book of Abstracts : ECCOMAS Thematic Conference, November 28 - 30, 2007, Paris - Cachan, France
Paris, 2007
Thematic Conference on Multi-Scale Computational Methods for Solids and Fluids <2007, Paris>
Conference Paper, Electronic Publication
Fraunhofer ITWM ()

A macroscopic mathematical model for bone-prosthesis contact conditions based on asymptotic homogenization is proposed which allows to take into account roughness properties of the prosthesis (in this case a special coating layer) on the micro level. We propose to decouple the macro- and micro-problems. The construction of the macroscopic contact law is done by fitting our various numerical FE-simulations of the contact in the coating layer under considering of some phenomenological models. The model parameters for the macroscopic contact conditions can be calculated in advance and additional iterations between micro-macro levels are not required. Starting with a frictionless micro contact problem with a rough interface one can get the macro-problem containing friction. The proposed macro model is applied to a knee-prosthesis system. The corresponding numerical results will be discussed.