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牙齿移动性的数值分析:牙周膜非线性本构定律的公式化

Numerical analysis of tooth mobility: formulation of a non-linear constitutive law for the periodontal ligament.

作者信息

Natali Arturo N, Pavan Piero G, Scarpa Caterina

机构信息

Centre of Mechanics of Biological Materials, Dipartimento di Costruzioni e Trasporti, Università degli Studi di Padova, Via F. Marzolo 9, I-35131 Padova, Italy.

出版信息

Dent Mater. 2004 Sep;20(7):623-9. doi: 10.1016/j.dental.2003.08.003.

Abstract

OBJECTIVE

The aim of the present work is the analysis of mobility of human dentition under the action of physiological short-term loading by using a numerical approach. The mobility of tooth is mainly attributed to the deformation of the periodontal ligament, hence particular attention is focused on the definition of a suitable constitutive model for this soft tissue.

METHODS

A numerical model of human upper incisor and periodontum is proposed by means of the finite element method. The mechanical response of the most deformable constituent, i.e. the periodontal ligament, is described by using a hyperelastic constitutive model.

RESULTS

Numerical analyses show an effective correspondence with in vivo experimental tests, in literature, on tooth mobility caused by the application of intrusive loads. The model proves to offer valid results, leading to a general, reliable and efficient numerical approach.

SIGNIFICANCE

The hyperelastic approach allows the description of the mechanical response of the periodontum under short lasting loads, according to the characteristic non-linear behavior of the PDL. This approach overcomes the approximation caused by the adoption of simplified models, widely reported in literature, and leads to a valid definition of tooth movement by means of an effective numerical procedure.

摘要

目的

本研究旨在通过数值方法分析人体牙列在生理性短期加载作用下的移动性。牙齿的移动性主要归因于牙周韧带的变形,因此特别关注为这种软组织定义合适的本构模型。

方法

采用有限元方法建立人体上颌切牙和牙周组织的数值模型。使用超弹性本构模型描述最易变形的成分即牙周韧带的力学响应。

结果

数值分析表明与文献中关于侵入性载荷作用下牙齿移动性的体内实验测试有有效对应关系。该模型证明能提供有效的结果,从而得出一种通用、可靠且高效的数值方法。

意义

超弹性方法能够根据牙周韧带的特征非线性行为描述牙周组织在短期载荷作用下的力学响应。这种方法克服了文献中广泛报道的采用简化模型所引起的近似问题,并通过有效的数值程序对牙齿移动进行了有效的定义。

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