Related Experiment Video
Updated: Jul 19, 2026

Creating a Box-Cavity Defect Model in the Cortical Bone of Rat Femora
Published on: November 21, 2023
Haversian cortical bone model with many radial microcracks: an elastic analytic solution
A Raeisi Najafi1, A R Arshi, M R Eslami
1Department of Medical Engineering, Amirkabir University of Technology, Tehran, Iran. arshi@aut.ac.ir
Abstract:
In this study, the fracture micromechanics of Haversian cortical bone has been considered. To this effect, a two-dimensional micromechanical fibre-ceramic matrix composite tissue materials model has been presented. The interstitial tissue was modeled as a matrix and the osteon was modeled as a fibre, followed by the application of linear elastic fracture mechanics theory. The solution for edge dislocations, in terms of Green's functions, was adopted to formulate a system of singular integral equations for the radial microcracks in the matrix in vicinity of the osteon. The problem was solved for various configurations and the corresponding stress intensity factors were computed. The results of this study indicated that the interaction between microcracks and an osteon was limited to vicinity of the osteon. Furthermore, the effect of microstructure morphology and heterogeneity on the fracture behavior has been established. The interactions between microcracks were also analyzed for various configurations. These selected configurations exhibited the effects of stress amplification and stress shielding.
Related Concept Videos
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
Generalized Hooke's Law
Eccentric Axial Loading in a Plane of Symmetry
General Case of Eccentric Axial Loading
Consider a member subjected to equal and opposite forces that are applied along a line that does not coincide with the member's neutral axis. In unsymmetrical bending,...
Elastic Strain Energy for Shearing Stresses
Normal Strain under Axial Loading
