Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 47, Issue 9, Pages 1099-1107Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2009.11.020
Keywords
Anisotropic gradient elasticity; Bone fracture; Bone stress concentrations
Categories
Funding
- European Commission [HPRN-CT-2002-00198]
- Engineering and Physical Sciences Research Council of the United Kingdom [EP/D041368/1]
- US Government through NSF/NIRT [DMI-0532320]
Ask authors/readers for more resources
A new format of anisotropic gradient elasticity is formulated and implemented to simulate stress concentrations in cortical bone. The higher-order effect of the underlying microstructure in cortical bone is accounted for through the introduction of two length scale parameters and associated strain gradient terms which modify the response of the standard elastic macroscopic continuum: one internal length related to the longitudinal fibres and the other related to the transversal Haversian systems. Thus, anisotropic material behaviour is not only included in the anisotropy of the elastic effective stiffness properties, but also in the anisotropic sources of heterogeneity. The model is validated numerically in tests with bone fractures in the longitudinal and the transversal directions. It was found that the dominant length scale effects are those that coincide with the direction of fracture, as defined by the orientation of a preexisting crack. (C) 2009 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available