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首页> 外文会议>The 7th China-Japan-Korea joint symposium on optimization of structural and mechanical systems >Three-dimensional Bone Remodeling Simulation using Topology Optimization
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Three-dimensional Bone Remodeling Simulation using Topology Optimization

机译：使用拓扑优化的三维骨骼重塑仿真

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Internal bone architecture, with its unique complex material matrix, has long been studied to determine the underlying principles of its adaptation and “remodeling”.Wolff proposed that trabecular bone in the proximal femur functionally adapts to external mechanical loading stimuli, orientating to align with the principal stress trajectories.Wolff had observed the “self-optimizing” property of bone and theorized that bone achieves maximum mechanical efficiency with minimal mass: a naturally optimum structure. These hypotheses known as Wolff's Law have been analyzed, critiqued, and refined using clinical, experimental, and analytical means.In the past few decades, computational techniques have been developed that utilize the finite element (FE) method to simulate this “bone remodeling” process. This present study utilized design space optimization (DSO), a rigorous mathematical structural optimization technique, in order to determine the global optimum structure of the cancellous bone in the proximal femur.DSO is a specialized topology optimization algorithm that attempts to distribute a finite amount of material into the areas of highest loading to achieve an optimal strength to weight ratio by minimizing the global strain energy (SE). This method has the unique ability to describe the intermediate structural adaptation progress in the time domain and incorporate multi-disciplinary and multi-objective models. The objective of this study is to conduct the first micro-level three-dimensional FE bone remodeling simulation of the proximal femur using DSO topology optimization to address Wolff’s hypothesis of self optimization using proven mathematical theory.
机译：长期以来，人们一直在研究内部骨骼结构及其独特的复杂材料基质，以确定其适应和“重塑”的基本原理。Wolff提出，股骨近端的小梁骨在功能上适应外部机械负荷刺激，旨在与外部机械负荷对齐。沃尔夫（Wolff）观察到了骨骼的“自我优化”特性，并得出理论认为骨骼以最小的质量实现了最大的机械效率：自然而然的最佳结构。这些称为沃尔夫定律的假设已通过临床，实验和分析手段进行了分析，批判和完善。在过去的几十年中，已经开发出了利用有限元（FE）方法来模拟这种“骨骼重塑”的计算技术。处理。本研究利用一种严格的数学结构优化技术设计空间优化（DSO）来确定股骨近端松质骨的全局最佳结构.DSO是一种专门的拓扑优化算法，试图分配有限量的通过最大程度地降低整体应变能（SE），将材料填充到最高负荷的区域中，以实现最佳的强度重量比。该方法具有独特的能力来描述时域中的中间结构适应过程，并结合了多学科和多目标模型。这项研究的目的是使用DSO拓扑优化对股骨近端进行第一个微型三维三维FE骨重塑模拟，以使用公认的数学理论解决Wolff的自我优化假设。

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