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The bounds for technical elastic constants of a cortical bone
- Authors
- Yoon, Young June; Yoon, Won Seok
- Issue Date
- Feb-2012
- Publisher
- ACTA Press
- Keywords
- Cortical bone; Elastic constants; Hill inequality; Voigt-Reuss bounds
- Citation
- Proceedings of the 9th IASTED International Conference on Biomedical Engineering, BioMed 2012, pp.639 - 643
- Indexed
- SCOPUS
- Journal Title
- Proceedings of the 9th IASTED International Conference on Biomedical Engineering, BioMed 2012
- Start Page
- 639
- End Page
- 643
- Abstract
- Objective: Voigt and Reuss bounds (or lower and upper bounds) for technical elastic constants are estimated after constructing the Voigt and Reuss bounds for components of an elasticity tensor. Method: Numerically orthotropic elastic constants of cortical bone are employed for the illustration. By selecting the upper values in Voigt-Reuss bounds for the upper bounds and lower bounds, the effective technical elastic constants of a cortical bone are estimated. In another words, we select the lower values of C 13 and C 33 for the upper bound and round off below the second decimal, which makes the Voigt-Reuss bounds satisfied. Conclusion: The effective technical elastic constants of cortical bone are estimated from the bounds of the elasticity tensor.
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