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含骨内牙种植体的人类下颌骨三维有限元模型的建立。II. 影响人类下颌骨有限元模型预测行为的变量。

Development of a three-dimensional finite element model of a human mandible containing endosseous dental implants. II. Variables affecting the predictive behavior of a finite element model of a human mandible.

作者信息

Al-Sukhun Jehad, Lindqvist Christian, Helenius Miia

机构信息

Department of Oral and Maxillofacial Surgery, Helsinki University Central Hospital, Kasarmikatu 11-13, PO Box 263, 00029 HUS, Helsinki, Finland.

出版信息

J Biomed Mater Res A. 2007 Jan;80(1):247-56. doi: 10.1002/jbm.a.30881.

Abstract

The purpose of this study was to propose a systematic approach to validate a finite element model (FEM) of the human mandible and to investigate the effects of changing the geometry and orthotropic material properties on the FEM predictions. Thirty-eight variables affecting the material properties, boundary conditions, and the geometry of a FEM of a human mandible, including two dental implants, were systematically changed, creating a number of FEMs of the mandible. The effects of the variations were quantified as differences in the principal strain magnitudes modeled by the original FEM (gold standard), prior to the sensitivity analyses, and those generated by the changed FEMs. The material properties that had the biggest impact on the predicted cortical principal strain were the shear moduli (up to 31% in difference from the unchanged state), and the absence of cancellous bone (up to 34%). Alterations to the geometry of the mandibular cross section, such as an increase in corpus dimensions, had the greatest effect on principal strain magnitudes (up to 16%). Changes in the cortical thickness in relation to the width of the corpus section modified strain more than alterations to the corpus depth (14% and 5%, respectively). The relatively small difference (up to 13.5%) between the predicted and measured interimplant distances indicates the accuracy of the FEM. Changes in geometry and orthotropic material properties could induce significant changes in strain patterns. These values must therefore be chosen with care when using finite element techniques for predicting stresses, strains, and displacements.

摘要

本研究的目的是提出一种系统方法来验证人体下颌骨的有限元模型(FEM),并研究改变几何形状和正交各向异性材料特性对有限元模型预测结果的影响。系统地改变了影响人体下颌骨有限元模型的材料特性、边界条件和几何形状的38个变量,包括两个牙种植体,从而创建了多个下颌骨有限元模型。在敏感性分析之前,将变化的影响量化为原始有限元模型(金标准)模拟的主应变大小与改变后的有限元模型产生的主应变大小之间的差异。对预测的皮质主应变影响最大的材料特性是剪切模量(与未改变状态相比差异高达31%),以及松质骨的缺失(高达34%)。下颌骨横截面几何形状的改变,如体部尺寸增加,对主应变大小的影响最大(高达16%)。与体部深度的改变相比,体部截面宽度相关的皮质厚度变化对应变的影响更大(分别为14%和5%)。预测的种植体间距离与测量值之间相对较小的差异(高达13.5%)表明了有限元模型的准确性。几何形状和正交各向异性材料特性的变化可能会引起应变模式的显著变化。因此,在使用有限元技术预测应力、应变和位移时,必须谨慎选择这些值。

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