Modeling of cancellous bone has important applications in the detection and treatment of fatigue fractures and diseases like osteoporosis. In this paper, we present a fully coupled multiscale approach considering mechanical, electrical and magnetic effects by using the multiscale finite element method and a two-phase material model on the microscale. We show numerical results for both scales, including calculations for a femur bone, comparing a healthy bone to ones affected by different stages of osteoporosis. Here, the magnetic field strength resulting from a small mechanical impact decreases drastically for later stages of the disease, confirming experimental research.

翻译：在检测和治疗疲劳骨折和骨质疏松症等疾病方面,对失眠骨骼建模具有重要的应用作用。在本文中,我们提出了一个全面结合的多尺度方法,通过使用多级限量元素法和微尺度两阶段材料模型来考虑机械、电气和磁效应。我们显示了两种比例的数值结果,包括股骨的计算,将健康的骨骼与受不同阶段骨质疏松症影响的骨骼进行比较。在这里,小机械撞击造成的磁场强度在疾病后期阶段急剧下降,证实了实验性研究。