Faculty of Mechanical Engineering, Nuremberg Tech, Keßlerplatz 12, 90489 Nuremberg, Germany.
Faculty of Mechanical Engineering, Nuremberg Tech, Keßlerplatz 12, 90489 Nuremberg, Germany.
J Biomech. 2020 Apr 16;103:109701. doi: 10.1016/j.jbiomech.2020.109701. Epub 2020 Feb 26.
A number of previous studies have investigated the possibilities of modelling the change in density of bones. Remodeling can be formulated at the constitutive or the kinematic level. In this work we introduce a formulation for the density growth process which takes not only the mechanical stimulus into account but also the influence of age on the evolution of growth. We demonstrate the implementation in the context of the finite element method. This novel approach is illustrated for a simple uniaxial extension test and is verified against previous numerical results. Moreover, two further physiologically motivated examples are performed. The results of the proposed modified model show excellent agreement with comparable results from literature and are promising for the application to real-life problems.
许多先前的研究都探讨了对骨骼密度变化进行建模的可能性。重塑可以在本构或运动学水平上进行公式化。在这项工作中，我们引入了一种密度增长过程的公式化方法，该方法不仅考虑了机械刺激，还考虑了年龄对生长演化的影响。我们在有限元方法的背景下展示了这种新方法的实现。这种新方法在简单的单轴拉伸试验中得到了说明，并通过与以前的数值结果进行了验证。此外，还进行了另外两个基于生理学的示例。所提出的改进模型的结果与文献中类似结果非常吻合，为应用于实际问题提供了希望。
