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12 March 2014
Article (Scientific journals)
An enhanced version of a bone remodelling model based on the continuum damage mechanics theory.
Mengoni, Marlène  ; Ponthot, Jean-Philippe 
2015 • In Computer Methods in Biomechanics and Biomedical Engineering, 18 (12), p. 1367-1376
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Keywords :
biomechancis; bone remodelling; non linear model
Abstract :
[en] The purpose of this work is to propose an enhancement of Doblaré and García's internal bone remodelling model based on the continuum damage mechanics 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 Continuum Damage Mechanics, 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 here propose 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 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.
Disciplines :
Mechanical engineering
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Mengoni, Marlène ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Département d'aérospatiale et mécanique
Ponthot, Jean-Philippe ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire
Language :
English
Title :
An enhanced version of a bone remodelling model based on the continuum damage mechanics theory.
Publication date :
September 2015
Journal title :
Computer Methods in Biomechanics and Biomedical Engineering
ISSN :
1025-5842
eISSN :
1476-8259
Publisher :
Taylor & Francis, London, United Kingdom
Volume :
18
Issue :
12
Pages :
1367-1376
Peer reviewed :
Peer Reviewed verified by ORBi

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