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.
| 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 |
| Date of the Publication (Server): | 2006/01/23 |
| Tag: | Knochendichte; Schwammknochen; Wolffsches Gesetz Wolff's Law; bone density; bone structure; cancellous bone |
| GND Keyword: | Knochen; Knochenbildung; Knochenchirugie; Strukturanalyse |
| Link: | http://dx.doi.org/10.1002/pamm.200410290 |
| Zugriffsart: | campus |
| Source: | Proceedings in Applied Mathematics and Mechanics (PAMM), 4(2004), H. 1., Seite: 618–619 |
| 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 |
