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Updated: May 14, 2026

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Published on: May 21, 2020
Orientation and size-dependent mechanical modulation within individual secondary osteons in cortical bone tissue
Davide Carnelli1, Pasquale Vena, Ming Dao
1Department of Structural Engineering, LaBS-Laboratory of Biological Structure Mechanics, Politecnico di Milano, P.zza L. da Vinci 32, 20133 Milan, Italy. davide.carnelli@mat.ethz.ch
Investigating bovine cortical bone, this study quantifies how the mechanical properties of secondary osteons vary with size and orientation. Results reveal a periodic stiffness pattern, highlighting the hierarchical structure
Area of Science:
- Biomaterials Science
- Bone Mechanics
- Tissue Engineering
Background:
- Cortical bone exhibits complex anisotropic mechanical behavior.
- Understanding this anisotropy is crucial for bone tissue engineering and biomechanics.
- The influence of length scale on bone mechanics requires further investigation.
Purpose of the Study:
- To quantify the orientation and size dependence of spatial mechanical modulation in individual secondary osteons.
- To determine the effect of length scale on lamellar bone anisotropy.
- To evaluate elastic constants of sub-lamellar structures.
Main Methods:
- Nanoindentation was used to measure mechanical properties.
- Tests were conducted in axial and transverse directions across osteonal structures.
- A laminate-composite-based analytical model was applied to experimental data.
Main Results:
- A periodic pattern of stiffness was observed with spatial distance across osteons.
- The critical length for homogenization of mechanical properties was determined.
- The hierarchical arrangement of lamellar bone significantly influences mechanical properties.
Conclusions:
- The hierarchical structure of bone dictates its anisotropic mechanical behavior.
- Length scale plays a critical role in the homogenization of bone mechanical properties.
- This study provides insights into the micromechanics of cortical bone.
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