The estimated elastic constants for a single bone osteonal lamella

Area of Science:

• Biomaterials Science
• Biomechanics
• Materials Science

Background:

• Bone's hierarchical structure, from collagen fibrils to lamellae, dictates its mechanical properties.
• Understanding the elastic constants at each hierarchical level is crucial for accurate bone micromechanical modeling.
• Previous studies have not fully detailed the micromechanical elastic properties of individual bone lamellar substructures.

Purpose of the Study:

• To estimate the elastic constants of a single bone osteonal lamella and its substructures.
• To provide a hierarchical analysis of elastic properties from mineralized collagen fibrils to lamellae.
• To establish a database for modeling parallel fibered bone at various scales.

Main Methods:

• Micromechanical estimations were performed on three hierarchical levels: mineralized collagen fibril, collagen fiber, and lamella.
• Assumptions of periodic substructures were used to estimate effective elastic constants for parallel fibered bone.
• Analysis considered collagen fibril (20 nm), collagen fiber (80 nm), and laminate (130 nm) dimensions.

Main Results:

• Elastic constants were estimated for collagen fibrils, collagen fibers, and lamellar substructures.
• The study provides effective elastic constants for parallel fibered bone.
• Hierarchical micromechanical data was generated for bone substructures.

Conclusions:

• The micromechanical estimates offer a foundational database for anisotropic poroelastic constants of osteons.
• These results are valuable for developing computational models in bone micromechanics, including damage mechanics and poroelasticity.
• The study contributes to a deeper understanding of bone's mechanical behavior at the microstructural level.