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.

许多先前的研究已经研究了对骨骼密度变化建模的可能性。可以在本构或运动学水平上进行重塑。在这项工作中，我们介绍了密度增长过程的公式，该公式不仅考虑了机械刺激，而且还考虑了年龄对增长演变的影响。我们在有限元方法的上下文中演示了实现。说明了此新颖方法的简单单轴延伸测试，并已针对先前的数值结果进行了验证。此外，进行了两个另外的生理动机的例子。提出的改进模型的结果与文献中的可比结果显示出极好的一致性，并且有望应用于现实生活中的问题。