Mengoni, M and Ponthot, JP (2015) An enhanced version of a bone-remodelling model based on the continuum damage mechanics theory. Computer Methods in Biomechanics and Biomedical Engineering, 18 (12). 1367 - 1376. ISSN 1025-5842
Abstract
The purpose of this work was to propose an enhancement of Doblaré and García's internal bone remodelling model based on the continuum damage mechanics (CDM) theory. In their paper, they stated that the evolution of the internal variables of the bone microstructure, and its incidence on the modification of the elastic constitutive parameters, may be formulated following the principles of CDM, although no actual damage was considered. The resorption and apposition criteria (similar to the damage criterion) were expressed in terms of a mechanical stimulus. However, the resorption criterion is lacking a dimensional consistency with the remodelling rate. We propose here an enhancement to this resorption criterion, insuring the dimensional consistency while retaining the physical properties of the original remodelling model. We then analyse the change in the resorption criterion hypersurface in the stress space for a two-dimensional (2D) analysis. We finally apply the new formulation to analyse the structural evolution of a 2D femur. This analysis gives results consistent with the original model but with a faster and more stable convergence rate.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Keywords: | anisotropic bone remodelling; computational biomechanics; model dimensions |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mechanical Engineering (Leeds) > Institute of Medical and Biological Engineering (iMBE) (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 25 Jun 2015 12:24 |
Last Modified: | 03 Nov 2016 11:06 |
Published Version: | http://dx.doi.org/10.1080/10255842.2014.903933 |
Status: | Published |
Publisher: | Taylor & Francis |
Identification Number: | 10.1080/10255842.2014.903933 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:84976 |