In this work an extension of the adaptive-elasticity theory is proposed in order to include the contribution of bone microdamage as a stimulus. Some aspects of damaged-bone tissue adaptation, brought about by a change of the daily loading history, are investigated. In particular, under the assumption of a small strain approximation and isothermal conditions, the solution of the remodeling rate equation for steady homogeneous stress is discussed and the damage effect upon the remodeling time constant is shown. The result is both theoretical and numerical, based on a recent theory of internal damaged-bone remodeling (Ramtani, S., and Zidi, M., 1999, “Damaged-Bone Remodeling Theory: Thermodynamical Approach,” Mechanics Research Communications, Vol. 26, pp. 701–708. Ramtani, S., and Zidi, M., 2001, “A Theoretical Model of the Effect of Continum Damage on a Bone Adaption Model,” Journal of Biomechanics, Vol. 34, pp. 471–479) and motivated by the works of Cowin, S. C., and Hegedus, D. M., 1976, “Bone Remodeling I: Theory and Adaptive Elasticity,” Journal of Elasticity, Vol. 6, pp. 471–479 and Hegedus, D. H., and Cowin, S. C., 1976, “Bone Remodeling II: Small Strain Adaptive Elasticity,” Journal of Elasticity, Vol. 6, pp. 337–352.
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e-mail: ramtani@univ-paris12.fr
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June 2002
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Damaged-Bone Adaptation Under Steady Homogeneous Stress
S. Ramtani,
e-mail: ramtani@univ-paris12.fr
S. Ramtani
Universite´ Paris Val de Marne, Faculte´ des Sciences et Technologie, Laboratoire de Biome´canique, Biomate´riaux Osseux et Articulaires/CNRS ESA 7052, 61, avenue du ge´ne´ral De Gaulle, 94010 Cre´teil ce´dex, France
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M. Zidi
M. Zidi
Universite´ Paris Val de Marne, Faculte´ des Sciences et Technologie, Laboratoire de Biome´canique, Biomate´riaux Osseux et Articulaires/CNRS ESA 7052, 61, avenue du ge´ne´ral De Gaulle, 94010 Cre´teil ce´dex, France
Search for other works by this author on:
S. Ramtani
Universite´ Paris Val de Marne, Faculte´ des Sciences et Technologie, Laboratoire de Biome´canique, Biomate´riaux Osseux et Articulaires/CNRS ESA 7052, 61, avenue du ge´ne´ral De Gaulle, 94010 Cre´teil ce´dex, France
e-mail: ramtani@univ-paris12.fr
M. Zidi
Universite´ Paris Val de Marne, Faculte´ des Sciences et Technologie, Laboratoire de Biome´canique, Biomate´riaux Osseux et Articulaires/CNRS ESA 7052, 61, avenue du ge´ne´ral De Gaulle, 94010 Cre´teil ce´dex, France
Contributed by the Bioengineering Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS. Manuscript received by the Bioengineering Division July 14, 2000; revised manuscript received January 28, 2002. Associate Editor: R. T. Hart.
J Biomech Eng. Jun 2002, 124(3): 322-327 (6 pages)
Published Online: May 21, 2002
Article history
Received:
July 14, 2000
Revised:
January 28, 2002
Online:
May 21, 2002
Citation
Ramtani , S., and Zidi , M. (May 21, 2002). "Damaged-Bone Adaptation Under Steady Homogeneous Stress ." ASME. J Biomech Eng. June 2002; 124(3): 322–327. https://doi.org/10.1115/1.1467918
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