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牙根形态的三维拓扑优化模型

A three-dimensional topology optimization model for tooth-root morphology.

作者信息

Seitz K-F, Grabe J, Köhne T

机构信息

a Institute of Geotechnical Engineering and Construction Management , Hamburg University of Technology , Hamburg , Germany.

b Department of Orthodontics , University Medical Center Hamburg-Eppendorf , Hamburg , Germany.

出版信息

Comput Methods Biomech Biomed Engin. 2018 Feb;21(2):177-185. doi: 10.1080/10255842.2018.1431778. Epub 2018 Feb 6.

DOI:10.1080/10255842.2018.1431778
PMID:29409345
Abstract

To obtain the root of a lower incisor through structural optimization, we used two methods: optimization with Solid Isotropic Material with Penalization (SIMP) and Soft-Kill Option (SKO). The optimization was carried out in combination with a finite element analysis in Abaqus/Standard. The model geometry was based on cone-beam tomography scans of 10 adult males with healthy bone-tooth interface. Our results demonstrate that the optimization method using SIMP for minimum compliance could not adequately predict the actual root shape. The SKO method, however, provided optimization results that were comparable to the natural root form and is therefore suitable to set up the basic topology of a dental root.

摘要

为了通过结构优化获得下颌切牙的牙根,我们使用了两种方法:带惩罚的实体各向同性材料(SIMP)优化和软杀死选项(SKO)。优化是结合Abaqus/Standard中的有限元分析进行的。模型几何形状基于10名具有健康骨-牙界面的成年男性的锥束断层扫描。我们的结果表明,使用SIMP进行最小柔顺度的优化方法无法充分预测实际牙根形状。然而,SKO方法提供的优化结果与天然牙根形态相当,因此适合用于建立牙根的基本拓扑结构。

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