2007
DOI: 10.1016/j.jtbi.2006.09.013
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‘Universal’ microstructural patterns in cortical and trabecular, extracellular and extravascular bone materials: Micromechanics-based prediction of anisotropic elasticity

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Cited by 288 publications
(259 citation statements)
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References 136 publications
(280 reference statements)
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“…The mineral phase of bone is stiff and strong but brittle, whereas the collagen phase is soft and highly deformable. The interaction of mineral and collagen in bone is discussed from the concept of a mineral-reinforced collagen matrix, and there is an evidence for a mineral matrix with collagen inclusions [18][19][20][21][22]. The role of water in the overall behavior of bone is also considered important [23]; however, the underlying mechanism is still not clearly understood.…”
Section: Strength Of Bonementioning
confidence: 99%
“…The mineral phase of bone is stiff and strong but brittle, whereas the collagen phase is soft and highly deformable. The interaction of mineral and collagen in bone is discussed from the concept of a mineral-reinforced collagen matrix, and there is an evidence for a mineral matrix with collagen inclusions [18][19][20][21][22]. The role of water in the overall behavior of bone is also considered important [23]; however, the underlying mechanism is still not clearly understood.…”
Section: Strength Of Bonementioning
confidence: 99%
“…Some recent studies (Fritsch and Hellmich, 2007;Hamed et al, 2010) proposed a comprehensive approach that involved a multi-scale realization to estimate an effective elastic constant by constructing the stiffness tensor for each constituent at multiple levels using a Mori-Tanaka scheme based on micromechanics and structural arrangement. Their model indeed provided a better understanding of the influence of each constituent at various levels.…”
Section: Introductionmentioning
confidence: 99%
“…Such a mechanical stimulus was represented by a micromechanics-derived strain energy density based on an Eshelby matrix-inclusion problem that linked two different scales, typical RVE (mm) and pore (μm) scales, respectively, and accurately predicted the stress/strain states on the trabecular surface where it is hypothesized the bone remodeling is taking place. At the bone matrix level, the material was considered as a mineral foam of hydroxyapatite which is "reinforced" predominantly in the longitudinal direction by collagen fibrils as shown in [7,16]. This enabled us to describe the anisotropic elastic properties at higher levels as a function of this basic composition.…”
Section: Discussionmentioning
confidence: 99%
“…hip and spine) no patient bone microarchitecture can be measured would be to implement the bone remodeling theory in a multi-scale framework that can translate structural changes at the cell-level to changes in bone density at the organ level. By using an analytical formulation of the bone remodeling equation integrated with multiscale micromechanical models, that use generalized structural models at each level of organization [16], such multi-step homogenization schemes can provide a very flexible framework to derive mechanical properties at any level. By integrating such models with bone remodeling equations, it will be possible to predict bone remodeling at these different levels in a very efficient manner.…”
Section: Introductionmentioning
confidence: 99%