Hierarchical modeling of plasticity and strength of trabecular bone

Abstract eng:
We study computationally, using a finite element method, plastic deformations and strength of trabecular bone. We represent the trabecular bone as a material with hierarchical structure and consider four structural scales: the nanoscale (mineralized collagen fibril), the submicroscale (single lamella consisting of mineralized collagen fibrils), the microscale (trabecular bone tissue), and the mesoscale (trabecular cellular network). At each scale we model the elastic and inelastic responses of bone until failure. We account for the experimentally observed failure mechanisms. Theoretical results are in good agreement with experiments conducted on cylindrical porcine trabecular bone samples.

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