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Bones are living organs with the ability to adapt themselves to their mechanical demands. This phenomenon is of great importance in cndoprosthetics. Due to a total hip joint replacement for example the bone is stressed in a non-physiological manner which causes bone remodeling. Therefore, the durability of the artificial device depends strongly on the prosthesis design. This biomechanical behaviour of bones is modeled with phcnomenological approaches within a continuum framework. Nowadays numerical methods are available to assist implant manufacturers as well as surgeons in their decisions. But there are numerous uncertainties in quantifying the mechanical loading conditions as well as the overall mechanical properties of bone tissue. The concept of statically equivalent loads is stated, where the boundary conditions arc computed by an inverse simulation from CT-data. The mechanical properties of cortical bone are obtained from a micro-mechanical approach with several stages of homogenization.
Rocznik
Tom
Strony
251--271
Opis fizyczny
Bibliogr. 24 poz.
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autor
- Institute for Structural and Computational Mechanics, University of Hannover, Appelstr. 9A, 30167 Hannover, Germany Tel.: 0049-511-762-3560; fax: 0049-511-762-5496, nackenhorst@ibnm.uni-hannover.de
Bibliografia
- 1. Beaupre, G. S., Orr, T. E. and Carter, D. R.: Ań Approach for Time-Dependent Bonę Modeling and Remodeling — Theoretical Development. J. of Orthopaedic Research, 8, 651-661, 1990.
- 2. Beaupre, G. S., Orr, T. E. and Carter, D. R.: Ań Approach for Time-Dependent Bonę Modelling and Remodelling: A Preliminary Remodeling Simulation. J. of Orthopaedic Research, 8, 662-670, 1990.
- 3. Carter, D. R. and Hayes, W. C.: The behaviour of bonę as a two-phase porous structure. J. Bone Joint Surgery, 59, 954-962, 1977
- 4. Carter, D. R., Orr, T. E. and Fyhrie, D. P.: Relationship between loading history and femoral cancellous bonę architechture. J. of Biomechanics, 22, 231-244, 1989.
- 5. Cowin, S.: Bonę Mechanics Handbook. CRC Press, New York, 2001,
- 6. Doblare, M. and Garcia, J. M.: Anisotropic bone remodelling model based on a continuum damage-repair theory. J. of Biomcchanics, 35, 1-17, 2002.
- 7. Duda, G., Hellcr, M. and Bcrgmann, G.: Muskuloskclctal loading database: Loading conditions of the proximal femur, Theorctical Issucs in Ergonomics Science, 6, 287-292, 2005.
- 8. Ebbecke, B.: Theorctische und algorithmischc Konzcptc żur Beschreibung des beanpsruchungsadaptiven Knochenwachstums. Doctoral Thcsis, Institut fur Baumcchanik und Numerischc Mechanik, Universitat Hannover, 2006.
- 9. Ghahremani, F. Numcrical cvaluation of thc stresses and strains in ellipsoidal inclusions in an anisolropic elastic materiał. Mech. Res. Comm., 4,89-91, 1977.
- 10. Jacobs, C. R., Levenston, M. E., Beaupre, G. S., Simo, J. C. and Carter, D. R.: Numerical inslabilities in bone-remodeling simulations: the advantage of a node-bascd finilc element approach. J. of Biomcchanics, 28, 449-459, 1995.
- 11. Jacobs, C. R., Simo, J. C., Beaupre, G. S. and Carter, D. R.: Adaptiye Bonc Remodeling Incorporating Simultancous Density and Anisotropy Considerations. J. of Biomcchanics, 30, 603-613, 1997.
- 12. Joc, B., GEOMPACK - a software package for the gencration of meshcs using geometrie algorithms. Advances in Engineering Software, 13, 325-331, 1991.
- 13. Krslin, N., Nackcnhorsl, U. und Lammcring, R.: Żur konstitutiven Beschreibung des anisotropen bcanspruchungsadaptiven Knochenumbaus. Teehnische Mechanik, 20, 31-40, 2000.
- 14. Lcnz, C.: Numerical Micro-Meso Modeling of Mechanosensation driven Ostconal Remodeling in Corlical Bonę, Doctoral Thesis, Institut fur Baumcchanik und Numerischc Mechanik, Universital IIannover, 2005.
- 15. Nackenhorst, U.: Numerical simulation of stress slimulalcd bonę rcmodeling. Teehnische Mechanik, 17,31-40, 1997.
- 16. Rho, J. Y., Kuhn-Spearing, L. and Zioupos, P., Mechanical propcrties and thc hierarchical structurc of bonę. Medical Engineering and Physics, 20, 92-102, 1998.
- 17. Ricc, J. C., Cowin, S. C. and Bowman, J. A.: On the Dependence of Elasticily and Slrenglh of Canccllous Bonc on Apparcnt Density. J- °* Biomcchanics, 21, 155-168, 1988.
- 18. Ruimcrman, R., Hilbers, P., van Rietbcrgcn, B. and Huiskcs, R., A theoretical framework for strain-related trabekular bonę maintcnance and adaption. J. of Biomechanics, 38, 931-941, 2005.
- 19. Simoes, J. A., Vaz, M. A., Blatcher, S. and Taylor, M., Influence of head eonstraints and musclc forces on the slrain distribution within the intact femur. Medical Engineering & Physics, 22, 453-459,
- 20. Yiceconti, M., Davincllib, M., Taddeia, F. and Cappello, A., Aulomalic gencralion of accuratc subjccl~-spccific bonę finitc element models lo bo used in clinical studics. J. of Biomechunics, 37, 1597-1605, 2004.
- 21. Weinans, H., Huiskes, R. and Grootenboer, H. J.: The Behaviour of Adaptive Bonę Rcmodeling Simulation Models. J. of Biomechanics, 25, 1425-1441, 1992.
- 22. Wolff, J., Das Gcsctz der Transformation der Knochcn. Berlin, 1S92.
- 23. Zicnkiewicz, O. C. and Zhu, J. Z., The supereoiwcrgenl patch rccovcry and a posteriori crror cstiinatcs. Part I: The rccoyery techniąue. Int. J. Num. Meth. Engg., 33, 1331-1364, 1992.
- 24. Zohdi, T. I. and Wriggers, P., Introduction to Computational Micromcchanics, Lecture Notes in Applied and Computational Mcchanics, 20, 2004.
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Bibliografia
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