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A Two Phase Mixture Model based on Bone Observation

  1. R.-R. Kühn1,*,
  2. W. Hauger1,
  3. M. Staat2,
  4. S. Sponagel2

Article first published online: 22 DEC 2004

DOI: 10.1002/pamm.200410290

Issue

PAMM

PAMM

Volume 4, Issue 1, pages 618–619, December 2004

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How to Cite

Kühn, R.-R., Hauger, W., Staat, M. and Sponagel, S. (2004), A Two Phase Mixture Model based on Bone Observation. Proc. Appl. Math. Mech., 4: 618–619. doi: 10.1002/pamm.200410290

Author Information

  1. 1

    Darmstadt University of Technology, Department of Mechanics, Hochschulstr. 1, 64289 Darmstadt, Germany

  2. 2

    Aachen University of Applied Sciences, Department of Physical Engineering, Ginsterweg 1, 52428 Jülich, Germany

*Phone: +00 49 (0)6151 16-2386, Fax: +00 49 (0)6151 16-4691

Publication History

  1. Issue published online: 22 DEC 2004
  2. Article first published online: 22 DEC 2004

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Abstract

An optimization method is developed to describe the mechanical behaviour of the human cancellous bone. The method is based on a mixture theory. A careful observation of the behaviour of the bone material leads to the hypothesis that the bone density is controlled by the principal stress trajectories (Wolff's law). The basic idea of the developed method is the coupling of a scalar value via an eigenvalue problem to the principal stress trajectories. On the one hand this theory will permit a prediction of the reaction of the biological bone structure after the implantation of a prosthesis, on the other hand it may be useful in engineering optimization problems. An analytical example shows its efficiency. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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