Ramtani S, Zidi M
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.
J Biomech. 2001 Apr;34(4):471-9. doi: 10.1016/s0021-9290(00)00215-3.
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.
在整个生命过程中，骨骼通过骨形成和骨吸收这两个调节良好的过程不断进行更新。日常活动会对骨骼造成损伤，而这种损伤通常会在持续的重塑过程中得到修复。当这种重塑过程出现失衡时，骨骼可能会变得更容易骨折。本文致力于对骨骼中损伤与内部重塑之间的竞争进行理论建模。这里提出的适应性损伤弹性材料的一般理论作为损伤骨重塑生理过程的模型，遵循连续介质热力学的一般框架，其中阐述了新的损伤骨重塑定律及相关的热力学限制，并专门针对等温过程中的小应变情况。同时还尝试推导：(a) 控制微裂纹扩展和停滞的损伤力（适应性损伤能量释放率），以及 (b) 通过引入损伤阈值和加载/卸载条件得出损伤规则。
