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On the mechanical characterization of compact bone structure using the homogenization theory
B Aoubiza1, J M Crolet, A Meunier
1Laboratoire de Calcul Scientifique, Besançon, France.
Journal of Biomechanics
|December 1, 1996
Summary
This study presents a new computational model for compact bone mechanics, improving upon previous approximations. The OSTEON software enhances understanding of bone parameters and aligns with experimental data.
Area of Science:
- Biomechanics
- Materials Science
- Computational Modeling
Background:
- Previous models of compact bone mechanics utilized homogenization theory with approximations for lamellar and osteonal structures.
- These approximations involved dividing structures into simplified geometric shapes like parallelepipeds.
Purpose of the Study:
- To develop a new computational model for compact bone mechanics that eliminates previous approximations.
- To refine the understanding of the mechanical behavior of compact bone at a microstructural level.
Main Methods:
- Developed a new homogenization model for lamellar and osteonal structures without geometric approximations.
- Utilized periodic homogenization techniques to determine the homogenized elasticity tensor at each point.
- Implemented the computational method within the OSTEON software.
Main Results:
- The new model accurately calculates the homogenized elasticity tensor for non-periodic lamellar and osteonal structures.
- The OSTEON software provides enhanced insights into the influence of various bone parameters.
- Results obtained from the model are consistent with experimental data.
Conclusions:
- The refined model offers a more accurate representation of compact bone's mechanical behavior.
- The OSTEON software is a valuable tool for investigating bone mechanics and the impact of structural parameters.
- This approach validates the application of homogenization theory to complex biological tissues.