A theoretical model of the effect of continuum damage on a bone adaptation model |
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Authors: | Ramtani S Zidi M |
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Affiliation: | Laboratoire de Mécanique Physique/CNRS ESA 7052, Faculté des Sciences et Technologie, Université Paris Val de Marne, 61, avenue du général De Gaulle, 94010 Creteil Cedex, France. ramtani@univ-paris12.fr |
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Abstract: | Throughout life, bone is continuously turning over by the well-regulated processes of bone formation and resorption. Everyday activities damage bone, and this damage is normally repaired in a continuous remodelling process. When an imbalance in this remodelling process occurs, bones may become more susceptible to fracture. This paper is devoted to a theoretical modelling of the competition between damage and internal remodelling in bones. The general theory of adaptive damaged-elastic materials proposed here as a model for the physiological process of damaged-bone remodelling follows the general framework of continuum thermodynamics where new damaged-bone remodelling law and associated thermodynamical restrictions are stated, and specialized to the case of small strain in isothermal processes. An attempt is also made to derive: (a) the damage force (adaptive damage energy release rate ) which controls the microcracks propagation and arrest, and (b) the damage rule by introducing damage thresholds and loading/unloading conditions. |
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