基于应力松弛试验的人牙周膜五参数粘弹性模型构建-东南大学学报医学版

基于应力松弛试验的人牙周膜五参数粘弹性模型构建

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.

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