Jasiuk I, Ostoja-Starzewski M
Department of Mechanical & Industrial Engineering, Concordia University, Montréal, Québec, H3G 1M8, Canada.
Biomech Model Mechanobiol. 2004 Nov;3(2):67-74. doi: 10.1007/s10237-004-0048-5. Epub 2004 Jul 28.
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.