Abstract

We model trabecular bone as a composite material with hierarchical structure. At a nanostructural level, bone is composed of collagen molecules containing water and non-collagenous proteins in their gaps reinforced with hydroxyapatite nanocrystals. At a sub-microstructural level (few microns), the mineralized collagen fibrils are embedded in an extrafibrillar hydroxyapatite matrix to form a single lamella, which also contains lacunar cavities. At a microstructural level (hundreds of microns), several lamellae are randomly orientated in different orientations to form trabecular pockets forming a single trabecula. At a mesostructural level (several millimeters), the trabecular bone is represented by a porous random network of trabeculae. In this paper we predict analytically the effective elastic constants of trabecular bone by modeling its elastic response at these different scales, spanning from the nanostructural to mesostructural levels, using micromechanics methods and composite materials laminate theories. The results obtained at a lower scale serve as inputs for the modeling at a higher scale. The predictions are in good agreement with the experimental data reported in literature.

Original languageEnglish (US)
Title of host publication6th World Congress of Biomechanics, WCB 2010 - In Conjunction with 14th International Conference on Biomedical Engineering, ICBME and 5th Asia Pacific Conference on Biomechanics, APBiomech
Pages837-840
Number of pages4
DOIs
StatePublished - Oct 25 2010
Event6th World Congress of Biomechanics, WCB 2010 - In Conjunction with 14th International Conference on Biomedical Engineering, ICBME and 5th Asia Pacific Conference on Biomechanics, APBiomech - Singapore, Singapore
Duration: Aug 1 2010Aug 6 2010

Publication series

NameIFMBE Proceedings
Volume31 IFMBE
ISSN (Print)1680-0737

Other

Other6th World Congress of Biomechanics, WCB 2010 - In Conjunction with 14th International Conference on Biomedical Engineering, ICBME and 5th Asia Pacific Conference on Biomechanics, APBiomech
CountrySingapore
CitySingapore
Period8/1/108/6/10

Fingerprint

Bone
Durapatite
Hydroxyapatite
Collagen
Micromechanics
Composite materials
Elastic constants
Nanocrystals
Laminates
Proteins
Molecules
Water

Keywords

  • Elastic properties
  • Multiscale modeling
  • Trabecular bone

ASJC Scopus subject areas

  • Biomedical Engineering
  • Bioengineering

Cite this

Hamed, E., Lee, Y., & Jasiuk, I. (2010). Multiscale modeling of elastic properties of trabecular bone. In 6th World Congress of Biomechanics, WCB 2010 - In Conjunction with 14th International Conference on Biomedical Engineering, ICBME and 5th Asia Pacific Conference on Biomechanics, APBiomech (pp. 837-840). (IFMBE Proceedings; Vol. 31 IFMBE). https://doi.org/10.1007/978-3-642-14515-5_213

Multiscale modeling of elastic properties of trabecular bone. / Hamed, E.; Lee, Y.; Jasiuk, I.

6th World Congress of Biomechanics, WCB 2010 - In Conjunction with 14th International Conference on Biomedical Engineering, ICBME and 5th Asia Pacific Conference on Biomechanics, APBiomech. 2010. p. 837-840 (IFMBE Proceedings; Vol. 31 IFMBE).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Hamed, E, Lee, Y & Jasiuk, I 2010, Multiscale modeling of elastic properties of trabecular bone. in 6th World Congress of Biomechanics, WCB 2010 - In Conjunction with 14th International Conference on Biomedical Engineering, ICBME and 5th Asia Pacific Conference on Biomechanics, APBiomech. IFMBE Proceedings, vol. 31 IFMBE, pp. 837-840, 6th World Congress of Biomechanics, WCB 2010 - In Conjunction with 14th International Conference on Biomedical Engineering, ICBME and 5th Asia Pacific Conference on Biomechanics, APBiomech, Singapore, Singapore, 8/1/10. https://doi.org/10.1007/978-3-642-14515-5_213
Hamed E, Lee Y, Jasiuk I. Multiscale modeling of elastic properties of trabecular bone. In 6th World Congress of Biomechanics, WCB 2010 - In Conjunction with 14th International Conference on Biomedical Engineering, ICBME and 5th Asia Pacific Conference on Biomechanics, APBiomech. 2010. p. 837-840. (IFMBE Proceedings). https://doi.org/10.1007/978-3-642-14515-5_213
Hamed, E. ; Lee, Y. ; Jasiuk, I. / Multiscale modeling of elastic properties of trabecular bone. 6th World Congress of Biomechanics, WCB 2010 - In Conjunction with 14th International Conference on Biomedical Engineering, ICBME and 5th Asia Pacific Conference on Biomechanics, APBiomech. 2010. pp. 837-840 (IFMBE Proceedings).
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