>
网站首页期刊介绍通知公告编 委 会投稿须知电子期刊广告合作联系我们
最新消息:
基于应力松弛试验的人牙周膜五参数粘弹性模型构建
作者:吴斌1  鹿如鑫1  严斌2  谢理哲2  赵思雨2  黄辉祥3  杨宇4  汤文成4 
单位:1. 南京林业大学 机械电子工程学院, 江苏 南京 210037;
2. 南京医科大学 口腔疾病研究江苏省重点实验室/南京医科大学附属口腔医院 正畸科, 江苏 南京 210029;
3. 南京工程学院 机械工程学院, 江苏 南京 211167;
4. 东南大学 机械工程学院, 江苏 南京 211189
关键词:人牙周膜 本构模型 粘弹性 应力松弛 五参数 
分类号:R318.01
出版年·卷·期(页码):2018·37·第六期(943-950)
摘要:

目的:研究人牙周膜粘弹性力学行为,通过应力松弛试验获取相关数据,构建五参数粘弹性本构模型并求取模型参数。方法:取6例人牙槽骨-牙周膜-牙齿复合体制作水平切片样本,使用万能材料实验机对人牙周膜进行应力松弛实验,处理后得到松弛模量曲线。分别用三参数的Zener模型和作者提出的五参数有冲击响应的固体粘弹性模型拟合试验数据并加以比较。结果:尽管Zener模型的拟合度已经相对较高,校正决定系数在0.94至0.98之间,但残差分布范围较大,而五参数模型的校正决定系数均在0.99以上,且残差分布范围更小。结论:与Zener模型相比,五参数模型能够更好地体现松弛模量在开始阶段骤降的现象,更适合描述牙周膜粘弹性力学行为中的应力松弛特性。

Objective:To study the viscoelastic mechanical behavior of human periodontal ligament(PDL) by obtaining relevant data through stress-relaxation test, constructing a five-parameter viscoelastic constitutive model and obtaining model parameters.Methods:Six human bone-PDL-tooth complex was cut to make the transverse samples. a universal material testing machine was used to perform stress-relaxation tests and relaxation modulus was obtained.The three-parameters Zener model and five-parameters solid viscoelastic model were proposed by the authorwereused to fit the data. Results:Although the fitting degree of Zener model was relatively high, the adjusted R squarewas between 0.93 and 0.98, but the residual distribution range was large.The adjusted R square of the five-parameter model was above 0.99, and the residual distribution range was smaller. Conclusion:Compared with Zener model, five-parameter model can better reflect the sudden drop of relaxation modulus at the initial stage, which is more suitable for describing stress-relaxation in viscoelastic behavior of PDL.

参考文献:

[1] 黄香,程筱胜,戴宁,等.基于骨架驱动的牙齿形态设计[J].东南大学学报(医学版),2012,31(1):18-23.
[2] 王书明.人下颌第一磨牙牙冠-牙周膜三维精细形态的初步研究[D].西安:第四军医大学,2015.
[3] 傅民魁.口腔正畸学[M].6版.北京:人民卫生出版社,2013:5-6.
[4] JONES M L,HICKMAN J,MIDDLETON J,et al.A validated finite element method study of orthodontic tooth movement in the human subject[J].J Orthod,2001,28(1):29-38.
[5] DOROW C,KRSTIN N,SANDER F G.Experiments to determine the material properties of the periodontal ligament[J].J Orofac Orthop,2002,63(2):94-104.
[6] TOMS S R,DAKIN G J,LEMONS J E,et al.Quasi-linear viscoelastic behavior of the human periodontal ligament[J].J Biomech,2002,35(10):1411-1415.
[7] SHIBATA T,BOTSIS J,BERGOMI M,et al.Mechanical behavior of bovine periodontal ligament under tension-compression cyclic displacements[J].Eur J Oral Sci,2006,114(1):74-82.
[8] KOMATSU K,SANCTUARY C,SHIBATA T,et al.Stress-relaxation and microscopic dynamics of rabbit periodontal ligament[J].J Biomech,2007,40(3):634-644.
[9] LIU D X,WANG H N,WANG C L,et al.Modulus of elasticity of human periodontal ligament by optical measurement and numerical simulation[J].Angle Orthod,2011,81(2):229-236.
[10] SCHROCK P,LÜPKE M,SEIFERT H,et al.Finite element analysis of equine incisor teeth.Part 1:determination of the material parameters of the periodontal ligament[J].Vet J,2013,198(3):583-589.
[11] KOMATSUK,SANCTUARY C,SHIBATAT,et al.Stress-relaxation and microscopic dynamicsof rabbit periodontal ligament[J].J Biomech,2007,40(3):634-644.
[12] HUANG H X,TANG W C,YANG Y,et al.Determination of viscoelastic properties of the periodontal ligament using nanoindentation testing and numerical modeling[J].J Mech Med Biol,2016,16(6):1650089.
[13] 傅肄芃,王耀骏,吴斌,等.基于纳米压痕实验的犬牙周膜弹性模量研究[J].实用口腔医学杂志,2018,34(2):153-157.
[14] PO J M,KIESER J A,GALLO L M,et al.Time-frequency analysis of chewing activity in the natural environment[J].J Dent Res,2011,90(10):1206-1210.
[15] SANCTUARY C.Experimental investigation of the mechanical behaviour and structure of the bovine periodontal ligament[D].École Polytechnique Fédérale de Lausanne,2004.
[16] 赵梅生,张忠君,马洪顺,等.人眼角膜黏弹性实验研究[J].生物医学工程学杂志,2005,22(3):550-554.
[17] 冯元桢.连续介质力学初级教程[M].3版.北京:清华大学出版社,2009:151.

服务与反馈:
文章下载】【发表评论】【查看评论】【加入收藏
提示:您还未登录,请登录!点此登录
您是第 163548 位访问者


copyright ©《东南大学学报(医学版)》编辑部
联系电话:025-87232481 83272483
电子邮件:
bjb@pub.seu.edu.cn

苏ICP备09058364