Vol 61, No 1 (2009)

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Modeling of articular cartilage replacement materials

M. Stoffel, D. Weichert, R. Müller-Rath

Arch. Mech. 61 (1), 69-87, 2009

Keywords: diffusion model; viscoelasticity; material testing; finite element simulation


Abstract


The development of replacement material for human articular cartilage exhibiting similar mechanical properties as the native tissue is a problem of high actuality in biomedicine. In the present work a new condensed collagen material is investigated. The study aims at developing a mechanical model especially adapted to this particular collagen material. For this purpose, a viscoelastic-diffusion (VED) model is proposed, accounting for two different diffusion evolutions assumed. Moreover, the need for a gradient material description is discussed in order to cover fabrication influences leading to a variable Young’s modulus for the material. On this background, a phenomenological law is presented to predict deformation-dependent diffusion behavior and internal reaction forces. Furthermore, the present approach allows a practible identification of diffusion parameters. The theoretical model is implemented into a finite element code and parameters are identified by tension tests. The simulation results are validated experimentally.

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