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一颗修复牙的二维和三维有限元分析比较

A comparison of 2D and 3D finite element analysis of a restored tooth.

作者信息

Romeed S A, Fok S L, Wilson N H F

机构信息

Department of Oral Surgery, St John's Hospital, Chelmsford, Essex, UK.

出版信息

J Oral Rehabil. 2006 Mar;33(3):209-15. doi: 10.1111/j.1365-2842.2005.01552.x.

Abstract

The finite element method is widely used in dental research. The decision to use two-dimensional (2D) or three-dimensional (3D) modelling is dependent on many interrelated factors. The purpose of the present study was to compare and contrast 2D and 3D finite element analysis (FEA) in investigating the mechanical behaviour of a maxillary premolar restored with a full crown under similar conditions of axial and lateral occlusal loading. The 2D analysis required modelling both a buccolingual and mesiodistal section of the restored premolar and for comparison sections of a 3D model were examined. Differences in the results for displacement and maximum principal stress distribution within the component structures and interfaces of the 2D and 3D models were, in general, attributable to differences in geometry represented in the models. Maximum principal stresses tended to be greater under lateral rather than axial occlusal loading. It was concluded that 2D FEA may find application in investigating key aspects of the mechanical behaviour of a dental restoration in a single tooth unit, but that in certain situations combinations of 2D and 3D FEA may offer the best understanding of the biomechanical behaviour of complex dental structures. Sophisticated FE models are required to better understand the mechanical behaviour of restored tooth units.

摘要

有限元法在牙科研究中被广泛应用。使用二维(2D)或三维(3D)建模的决定取决于许多相互关联的因素。本研究的目的是比较和对比二维和三维有限元分析(FEA),以研究在轴向和侧向咬合加载的相似条件下,全冠修复的上颌前磨牙的力学行为。二维分析需要对上颌前磨牙修复体的颊舌向和近远中向截面进行建模,并对三维模型的截面进行比较。二维和三维模型的组成结构和界面内的位移和最大主应力分布结果的差异,通常归因于模型所代表的几何形状的差异。侧向咬合加载下的最大主应力往往大于轴向咬合加载。得出的结论是,二维有限元分析可能适用于研究单颗牙齿单元中牙齿修复体力学行为的关键方面,但在某些情况下,二维和三维有限元分析的结合可能有助于更好地理解复杂牙齿结构的生物力学行为。需要复杂的有限元模型来更好地理解修复后牙齿单元的力学行为。

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