光学测量和数值模拟人牙周韧带的弹性模量。
Modulus of elasticity of human periodontal ligament by optical measurement and numerical simulation.
机构信息
Department of Orthodontics, Shandong University, Jinan, People’s Republic of China.
出版信息
Angle Orthod. 2011 Mar;81(2):229-36. doi: 10.2319/060710-311.1.
OBJECTIVE
To determine the elastic modulus of the periodontal ligament (PDL).
MATERIALS AND METHODS
This study was carried out on eight human maxillary jaw segments containing central incisors. Displacements were measured under load using a laser sensing system, electronic speckle pattern interferometry (ESPI). Subsequently, finite element models presenting the same individual geometry as the respective autopsy material were developed by the software of Mimics and Ansys, based on scanning data from micro computed tomography (micro CT), to simulate tooth mobility numerically under the same force systems as were used in the experiment. Numerical force/deflection curves obtained from the models were fitted to the experimental curves by repeatedly calculating theoretical tooth deflections and varying the elasticity parameters of the human PDL.
RESULTS
A bilinear material parameter set was assumed to simulate tooth deflections. Mean values of E₁ = 0.04 MPa, E₂ = 0.16 MPa, and ultimate strain of ε₁₂ = 7.3% were derived for the elastic behavior of the PDL.
CONCLUSION
Force/deflection curves from the measurements showed a significant nonlinear behavior of elastic stiffness of the PDL. A bilinear material parameter set was suitably assumed to be a description of nonlinear properties of the PDL.
目的
确定牙周韧带（PDL）的弹性模量。
材料和方法
本研究在包含中切牙的 8 个人上颌牙槽段上进行。使用激光感应系统（电子散斑干涉测量法，ESPI）在加载下测量位移。随后，基于微计算机断层扫描（micro CT）的扫描数据，使用 Mimics 和 Ansys 软件开发了呈现与各自解剖材料相同个体几何形状的有限元模型，以模拟在与实验中相同的力系统下牙齿的移动。通过反复计算理论牙齿位移并改变人 PDL 的弹性参数，将从模型获得的数值力/挠度曲线拟合到实验曲线。
结果
假设双线性材料参数集来模拟牙齿位移。得出 PDL 的弹性行为的 E₁平均值为 0.04 MPa，E₂平均值为 0.16 MPa，和终极应变 ε₁₂为 7.3%。
结论
测量的力/挠度曲线显示 PDL 的弹性刚度具有显著的非线性行为。双线性材料参数集被合理地假设为 PDL 非线性特性的描述。
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