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首页> 外文期刊>Journal of Biomechanics >ADAPTIVE BONE REMODELING INCORPORATING SIMULTANEOUS DENSITY AND ANISOTROPY CONSIDERATIONS
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ADAPTIVE BONE REMODELING INCORPORATING SIMULTANEOUS DENSITY AND ANISOTROPY CONSIDERATIONS

机译：包含同时密度和各向异性考虑因素的自适应骨骼重塑

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Over 100 years ago, Wolff hypothesized that cancellous bone altered both its apparent density and trabecular orientation in response to mechanical loads. A mathematical counterpart of this principle is derived by adding a remodeling rule for the rate-of-change of the full anisotropic stiffness tensor (all 21 independent terms) to the density rate-of-change rule adapted from an existing isotropic theory. As a result, anisotropy and density patterns develop such that the local stiffness tensor is optimal for the given series of applied loadings. The method does not rely on additional morphological measures of trabecular orientation. Furthermore, assumptions of material symmetry are not required, and any observed regions of orthotropy, transverse isotropy, or isotropy are a result entirely of the functional adaptation of the bone and not the consequence of a modeling assumption. This approach has been implemented with the finite element method and applied to a two-dimensional model of the proximal femur with encouraging results. (C) 1997 Elsevier Science Ltd. [References: 43]
机译：一百多年前，沃尔夫（Wolff）假设松质骨响应机械负荷而改变了其表观密度和小梁方向。通过向现有的各向同性理论改编的密度变化率规则中添加全各向异性刚度张量（所有21个独立项）的变化率的重塑规则，可以得出该原理的数学对应关系。结果，发展了各向异性和密度模式，使得局部刚度张量对于给定的一系列施加载荷而言是最佳的。该方法不依赖于小梁定向的其他形态学测量。此外，不需要材料对称性的假设，并且正交各向异性，横向各向同性或各向同性的任何观察到的区域完全是骨骼功能适应性的结果，而不是建模假设的结果。该方法已通过有限元方法实现，并应用于股骨近端的二维模型，并获得了令人鼓舞的结果。 （C）1997 Elsevier Science Ltd. [参考：43]

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