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Article Dans Une Revue Journal of Mechanics in Medicine and Biology Année : 2020

Bone orthotropic remodeling as a thermodynamically-driven evolution

Résumé

In this contribution we present and discuss a model of bone remodeling set up in the framework of the theory of generalized continuum mechanics and first introduced by DiCarlo et al.[1]. Bone is described as an orthotropic body experiencing remodeling as a rotation of its microstruc-ture. Thus, the complete kinematic description of a material point is provided by its position in space and a rotation tensor describing the orientation of its microstructure. Material motion is driven by energetic considerations , namely by the application of the Clausius-Duhem inequality to the microstructured material. Within this framework of orthotropic re-modeling, some key features of the remodeling equilibrium configurations are deduced in the case of homogeneous strain or stress loading conditions. First, it is shown that remodeling equilibrium configurations correspond to energy extrema. Second, stability of the remodeling equilibrium configurations is assessed in terms of the local convexity of the strain and complementary energy functionals hence recovering some classical energy theorems. Eventually, it is shown that the remodeling equilibrium configurations are not only highly dependent on the loading conditions, but also on the material properties.
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Dates et versions

hal-02343624 , version 1 (03-11-2019)

Identifiants

  • HAL Id : hal-02343624 , version 1

Citer

M. Martin, T. Lemaire, Guillaume Haiat, P Pivonka, V. Sansalone. Bone orthotropic remodeling as a thermodynamically-driven evolution. Journal of Mechanics in Medicine and Biology, 2020, 20 (4), pp.1950084. ⟨hal-02343624⟩
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