Institute of Applied Mechanics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany.
Department of Mechanical Engineering, Bilkent University, Ankara, Turkey.
Comput Methods Biomech Biomed Engin. 2022 Dec;25(16):1835-1851. doi: 10.1080/10255842.2022.2039641. Epub 2022 Apr 18.
Bone remodelling is a complex biomechanical process, which has been studied widely based on the restrictions of local continuum theory. To provide a nonlocal bone remodelling framework, we propose, for the first time, a peridynamic formulation on the macroscale. We illustrate our implementation with a common benchmark test as well as two load cases of the proximal femur. On the one hand, results of our peridynamic model with diminishing nonlocality measure converge to the results of a local finite element model. On the other hand, increasing the neighbourhood size shows to what extent the additional degree of freedom, the nonlocality, can influence the density evolution.
骨重建是一个复杂的生物力学过程，基于局部连续体理论的限制，已经对其进行了广泛的研究。为了提供一个非局部的骨重建框架，我们首次在宏观尺度上提出了一个弥散模型的公式。我们通过一个常见的基准测试以及两个股骨近端的负荷情况来说明我们的实现。一方面，我们的弥散模型的结果随着非局部度量的减小而收敛到局部有限元模型的结果。另一方面，增加邻域大小可以看出额外的自由度，即非局部性，在多大程度上可以影响密度演化。
