A Two Phase Mixture Model based on Bone Observation

  • 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.

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Metadaten
Author:Raoul-Roman Kühn, Werner Haugner, Manfred StaatORCiD, Stefan Sponagel
DOI:https://doi.org/10.21269/96
Document Type:Article
Language:English
Year of Completion:2004
Publishing Institution:Fachhochschule Aachen
Contributing Corporation:Technische Universität Darmstadt, Fachbereich Mechanik
Tag:Knochendichte; Schwammknochen; Wolffsches Gesetz
Wolff's Law; bone density; bone structure; cancellous bone
GND Keyword:Knochen; Knochenbildung; Knochenchirugie; Strukturanalyse
Source:Proceedings in Applied Mathematics and Mechanics (PAMM), 4(2004), H. 1., Seite: 618–619
Link:http://dx.doi.org/10.1002/pamm.200410290
Zugriffsart:campus
Institutes:FH Aachen / Fachbereich Medizintechnik und Technomathematik
FH Aachen / IfB - Institut für Bioengineering
Dewey Decimal Classification:6 Technik, Medizin, angewandte Wissenschaften / 60 Technik / 600 Technik, Technologie