TY - JOUR
T1 - Modeling of bending and torsional stiffnesses of bone at sub-microscale
T2 - Effect of curved mineral lamellae
AU - Idkaidek, Ashraf
AU - Schwarcz, Henry
AU - Jasiuk, Iwona
N1 - Publisher Copyright:
© 2021 Elsevier Ltd
PY - 2021/6/23
Y1 - 2021/6/23
N2 - Recent transmission electron microscopy images of transverse sections of human cortical bone showed that mineral lamellae (polycrystalline sheets of apatite crystals) form arcuate multi-radius patterns around collagen fibrils. The 3–6 nm thick mineral lamellae are arranged in stacks of 3–20 layers and curve around individual fibrils, few fibrils, and higher numbers of collagen fibrils. We evaluate the effect of these stacked mineral lamellae with various radius of curvature patterns on the elastic bending and torsional responses of bone at the sub-microscale using a finite element method. We find that the curved multi-radius stack patterns increased the bending and torsional stiffnesses by 7% and 23%, respectively, compared to when the stacks of mineral lamellae only encircle individual fibrils for the idealized geometric models considered. This study provides new insights into the structure–property relations for the bone ultrastructure.
AB - Recent transmission electron microscopy images of transverse sections of human cortical bone showed that mineral lamellae (polycrystalline sheets of apatite crystals) form arcuate multi-radius patterns around collagen fibrils. The 3–6 nm thick mineral lamellae are arranged in stacks of 3–20 layers and curve around individual fibrils, few fibrils, and higher numbers of collagen fibrils. We evaluate the effect of these stacked mineral lamellae with various radius of curvature patterns on the elastic bending and torsional responses of bone at the sub-microscale using a finite element method. We find that the curved multi-radius stack patterns increased the bending and torsional stiffnesses by 7% and 23%, respectively, compared to when the stacks of mineral lamellae only encircle individual fibrils for the idealized geometric models considered. This study provides new insights into the structure–property relations for the bone ultrastructure.
KW - Bone bending stiffness
KW - Bone sub-microstructure
KW - Bone torsional stiffness
KW - Finite element method
KW - Stacks of curved mineral lamellae
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U2 - 10.1016/j.jbiomech.2021.110531
DO - 10.1016/j.jbiomech.2021.110531
M3 - Article
C2 - 34051614
AN - SCOPUS:85107728996
SN - 0021-9290
VL - 123
JO - Journal of Biomechanics
JF - Journal of Biomechanics
M1 - 110531
ER -