Simulation of the Human Mandible: Comparison of Bone Mineral Density and Stress/Strain Profiles due to Masticatory Muscles' Traction
Please always quote using this URN: urn:nbn:de:0297-zib-7458
- The correlation of the inner architecture of bone and its functional loading was already stated by Wolff in 1892. Our objective is to demonstrate this interdependence in the case of the human mandible. For this purpose, stress/strain profiles occuring at a human lateral bite were simulated. Additionally, by a combination of computer graphics modules, a three--dimensional volumetric visualization of bone mineral density could be given. Qualitative correspondences between the density profile of the jaw and the simulated stress/strain profiles could be pointed out. In the long run, this might enable the use of the simulation for diagnosis and prognosis. The solution of the underlying partial differential equations describing linear elastic material behaviour was provided by an adaptive finite element method. Estimates of the discretization errors, local grid refinement, and multilevel techniques guaranteed the reliability and efficiency of the method.
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| Author: | Cornelia Kober, Bodo Erdmann, Robert Sader, Hans-Florian Zeilhofer |
|---|---|
| Document Type: | ZIB-Report |
| Tag: | adaptive grid refinement; finite element method; human mandible; linear elasticity; stress/strain analysis |
| MSC-Classification: | 65-XX NUMERICAL ANALYSIS / 65Mxx Partial differential equations, initial value and time-dependent initial- boundary value problems / 65M50 Mesh generation and refinement |
| 65-XX NUMERICAL ANALYSIS / 65Mxx Partial differential equations, initial value and time-dependent initial- boundary value problems / 65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods | |
| Date of first Publication: | 2003/07/23 |
| Series (Serial Number): | ZIB-Report (03-23) |
| ZIB-Reportnumber: | 03-23 |
| Published in: | Appeared in: Proceedings of 10th Workshop on the Finite Element Method in Biomedical Engineering, Biomechanics and Related Fields, Ulm, Germany, July 2003 (CD-ROM) |
