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基于密度的均匀化晶格结构拓扑优化设计个体化髋关节假体及其微有限元验证

Development of a density-based topology optimization of homogenized lattice structures for individualized hip endoprostheses and validation using micro-FE.

机构信息

Institute of Product Development, Leibniz University of Hannover, Garbsen, 30823, Germany.

TU Wien, Institute for Lightweight Design and Structural Biomechanics, Vienna, 1060, Austria.

出版信息

Sci Rep. 2024 Mar 8;14(1):5719. doi: 10.1038/s41598-024-56327-4.

DOI:10.1038/s41598-024-56327-4
PMID:38459092
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10923877/
Abstract

Prosthetic implants, particularly hip endoprostheses, often lead to stress shielding because of a mismatch in compliance between the bone and the implant material, adversely affecting the implant's longevity and effectiveness. Therefore, this work aimed to demonstrate a computationally efficient method for density-based topology optimization of homogenized lattice structures in a patient-specific hip endoprosthesis. Thus, the root mean square error (RMSE) of the stress deviations between the physiological femur model and the optimized total hip arthroplasty (THA) model compared to an unoptimized-THA model could be reduced by 81 % and 66 % in Gruen zone (GZ) 6 and 7. However, the method relies on homogenized finite element (FE) models that only use a simplified representation of the microstructural geometry of the bone and implant. The topology-optimized hip endoprosthesis with graded lattice structures was synthesized using algorithmic design and analyzed in a virtual implanted state using micro-finite element (micro-FE) analysis to validate the optimization method. Homogenized FE and micro-FE models were compared based on averaged von Mises stresses in multiple regions of interest. A strong correlation (CCC > 0.97) was observed, indicating that optimizing homogenized lattice structures yields reliable outcomes. The graded implant was additively manufactured to ensure the topology-optimized result's feasibility.

摘要

假体植入物，特别是髋关节假体，由于骨与植入物材料之间的顺应性不匹配，常常导致应力屏蔽，从而对植入物的寿命和效果产生不利影响。因此，这项工作旨在展示一种针对患者特定髋关节假体中均匀化晶格结构的基于密度的拓扑优化的计算效率方法。因此，与未优化的 THA 模型相比，生理股骨模型和优化的全髋关节置换（THA）模型之间的应力偏差的均方根误差（RMSE）在 Gruen 区（GZ）6 和 7 中可分别降低 81%和 66%。然而，该方法依赖于仅使用骨骼和植入物的微观结构几何形状的简化表示的均匀有限元（FE）模型。使用算法设计合成具有梯度晶格结构的拓扑优化髋关节假体，并使用微有限元（micro-FE）分析在虚拟植入状态下进行分析，以验证优化方法。基于多个感兴趣区域的平均 von Mises 应力对均匀 FE 和 micro-FE 模型进行了比较。观察到很强的相关性（CCC > 0.97），表明优化均匀晶格结构可获得可靠的结果。梯度植入物采用增材制造技术，以确保拓扑优化结果的可行性。

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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3169/10923877/11d5db5e2e54/41598_2024_56327_Fig7_HTML.jpg
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