[1]黄辉祥,汤文成,吴斌,等.基于超弹性模型的牙周膜生物力学响应[J].东南大学学报(自然科学版),2013,43(2):340-344.[doi:10.3969/j.issn.1001-0505.2013.02.021]
 Huang Huixiang,Tang Wencheng,Wu Bin,et al.Biomechanical response for periodontal ligament based on hyperelastic model[J].Journal of Southeast University (Natural Science Edition),2013,43(2):340-344.[doi:10.3969/j.issn.1001-0505.2013.02.021]
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基于超弹性模型的牙周膜生物力学响应()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
43
期数:
2013年第2期
页码:
340-344
栏目:
生物医学工程
出版日期:
2013-03-20

文章信息/Info

Title:
Biomechanical response for periodontal ligament based on hyperelastic model
作者:
黄辉祥1汤文成1吴斌2严斌3
1东南大学机械工程学院, 南京 211189; 2南京林业大学机电工程学院, 南京 210037; 3南京医科大学口腔医学院, 南京 210029
Author(s):
Huang Huixiang1 Tang Wencheng1 Wu Bin2 Yan Bin3
1School of Mechanical Engineering, Southeast University, Nanjing 211189, China
2School of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, China
3School of Stomatology, Nanjing Medical University, Nanjing 210029, China
关键词:
口腔正畸 超弹性模型 数值模拟 牙周膜 生物力学
Keywords:
orthodontic hyperelastic model numerical simulation periodontal ligament biomechanics
分类号:
R318.01
DOI:
10.3969/j.issn.1001-0505.2013.02.021
摘要:
牙周膜应力-应变关系表现为指数形式,为了更准确地研究牙周膜的生物力学响应,提出采用指数形式的超弹性应变能函数进行研究.基于连续介质力学理论推导出超弹性模型本构关系,使用人体牙周膜单轴拉伸实验数据并利用最小二乘法对超弹性模型进行参数拟合,同时进行拟合误差分析.结果显示较少参数的Mooney-Rivlin指数模型能更好地拟合实验数据.利用ABAQUS材料子程序UHYPER编制模型的接口程序,通过对拉伸实验情况的模拟计算,验证了开发的模型子程序的有效性.最后,比较分析了正畸力下的超弹性与线弹性牙周膜的生物力学响应.结果表明:应力和应变主要集中在牙周膜牙颈和根尖处,且超弹性牙周膜中部存在局部应力集中;Mooney-Rivlin指数模型能提高牙周膜瞬时弹性响应的预测精度.
Abstract:
The mechanical behaviour of the periodontal ligament(PDL)is expressed as exponential form. In order to more accurately investigate the mechanical response of the PDL, the strain energy functions for hyperelastic models are introduced, then the constitutive equations for hyperelastic models are deduced based on continuum mechanics. The experimental data of uniaxial tension from human PDL is fitted to obtain the parameters of the models by means of the least square method. According to the relative errors of the data fitting, the Mooney-Rivlin exponential model with less parameters is more appropriate for describing the mechanical properties of the PDL. The material subroutine UHYPER of finite element software ABAQUS is developed to simulate the biomechanical responses of the PDL under its tension experiment. The developed subroutine is proved to be valid. Finally, the subroutine is applied to simulate and compare the mechanical responses of the hyperelastic and linear elastic PDL under the orthodontic force. The results show that the stresses and the strains are concentrated in the areas near the cervical positions and the root apex for the PDL, and the local stress concentrations appear in the middle of the PDL. The Mooney-Rivlin exponential model can improve the prediction accuracy of the instantaneous elastic response of the PDL.

参考文献/References:

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备注/Memo

备注/Memo:
作者简介: 黄辉祥(1983—),男,博士生;汤文成(联系人),男,博士,教授,博士生导师, tangwc@seu.edu.cn.
基金项目: 江苏省博士后科研基金资助项目(1102046C).
引文格式: 黄辉祥,汤文成,吴斌,等.基于超弹性模型的牙周膜生物力学响应[J].东南大学学报:自然科学版,2013,43(2):340-344. [doi:10.3969/j.issn.1001-0505.2013.02.021]
更新日期/Last Update: 2013-03-20