Modeling of bone at a single lamella level.
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.
Jasiuk
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I
Department of Mechanical & Industrial Engineering, Concordia University, Montréal, Québec, H3G 1M8, Canada. ijasiuk@me.concordia.ca
Ostoja-Starzewski
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M
D001696:Biomechanical Phenomena; D001842:Bone and Bones / Q000033:anatomy & histology* / Q000648:ultrastructure; D008855:Microscopy, Electron, Scanning; D008953:Models, Anatomic