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On a new law of bone remodeling based on damage elasticity: a thermodynamic approach
Ahmed Idhammad1, Abdelmounaïm Abdali
1Laboratory of Applied Mathematics and Computer Science (LAMAI), Faculty of Sciences and Technics, Abdelkrim El Khattabi Avenue, Marrakech, Morocco. a.idhammad@gmail.com
Background:
Bone tissue is the main element of the human skeleton and is a dynamic tissue that is continuously renewed by bone-resorbing osteoclasts and bone-forming osteoblasts.The bone is also capable of repairing itself and adapting its structure to changes in its load environment through the process of bone remodeling.Therefore, this phenomenon has been gaining increasing interest in the last years and many laws have been developed in order to simulate this process.
Results:
In this paper, we develop a new law of bone remodeling in the context of damaged elastic by applying the thermodynamic approach in the case of small perturbations.The model is solved numerically by a finite difference method in the one-dimensional bone structure of a n-unit elements model.
Conclusion:
In addition, several numerical simulations are presented that confirm the accuracy and effectiveness of the model.
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