TY - JOUR
T1 - Modeling of bone at a single lamella level
AU - Jasiuk, I.
AU - Ostoja-Starzewski, M.
N1 - Funding Information:
Acknowledgments The first author acknowledges support of this research by the NSF (grant CMS-0085137). The work of the second author was made possible through support by the Canada Research Chairs program and the NSERC. SEM image in Fig. 1 was taken in the Integrated Microscopy and Microanalytical Facility (Dr. R.P. Apkarian, director).
PY - 2004
Y1 - 2004
N2 - This paper focuses on the ultrastructure of bone at a single lamella level. At this scale, collagen fibrils reinforced with apatite crystals are aligned preferentially to form a lamella. At the next structural level, such lamella are stacked in different orientations to form either osteons in cortical bone or trabecular pockets in trabecular bone. We use a finite element model, which treats small strain elasticity of a spatially random network of collagen fibrils, and compute anisotropic effective stiffness tensors and deformations of such a single lamella as a function of fibril volume fractions (or porosities), prescribed microgeometries, and fibril geometric and elastic properties.
AB - This paper focuses on the ultrastructure of bone at a single lamella level. At this scale, collagen fibrils reinforced with apatite crystals are aligned preferentially to form a lamella. At the next structural level, such lamella are stacked in different orientations to form either osteons in cortical bone or trabecular pockets in trabecular bone. We use a finite element model, which treats small strain elasticity of a spatially random network of collagen fibrils, and compute anisotropic effective stiffness tensors and deformations of such a single lamella as a function of fibril volume fractions (or porosities), prescribed microgeometries, and fibril geometric and elastic properties.
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U2 - 10.1007/s10237-004-0048-5
DO - 10.1007/s10237-004-0048-5
M3 - Review article
C2 - 15526147
AN - SCOPUS:13944250258
SN - 1617-7959
VL - 3
SP - 67
EP - 74
JO - Biomechanics and Modeling in Mechanobiology
JF - Biomechanics and Modeling in Mechanobiology
IS - 2
ER -