A nonlinear elastic model of the periodontal ligament and its numerical calibration for the study of tooth mobility.
A nonlinear elastic model of the periodontal ligament and its numerical calibration for the study of tooth mobility.
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DOI：
10.1080/10255840290032117
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发表时间：
2002-04-01
影响因子：
1.6
通讯作者：
Belser, U
中科院分区：
文献类型：
--
作者：
Pietrzak, G;Curnier, A;Belser, U
一个大应变的非线性弹性各向同性的“分裂”法提出的牙周膜的行为建模。该定律允许更好地描述该组织的硬化响应，并且伴随地，允许更准确地校准其弹性特性。事实上，精细的有限元模拟的上人类门牙连接到其周围的牙槽骨的中间层的韧带使用的“分裂”的法律韧带。一个很好的相关性，建立与现有的实验数据，这样的牙齿轴向载荷。初始杨氏模量的值为0.010-0.031 MPa，泊松比的值为0.45-0.495。还进行了模型的材料和数值参数的结果的敏感性分析。最后，使用这种“分裂”法律与标准的线弹性定律得到的模拟结果的比较，显示出显着的改善。
A large strain nonlinear elastic isotropic "split" law is proposed for modeling the behaviour of the periodontal ligament. This law allows for a better description of the stiffening response of this tissue and, concomitantly, for a more accurate calibration of its elastic properties. Indeed, fine finite element simulations of an upper human incisor attached to its surrounding alveolar bone by an intermediate layer of ligament were run using that "split" law for the ligament. A good correlation was established with available experimental data on such a tooth under axial loading. Values of 0.010-0.031 MPa for the initial Young's modulus and of 0.45-0.495 for Poisson's ratio were determined. A sensitivity analysis of the results with respect to material and numerical parameters of the model was also carried out. Finally, a comparison of the simulation results using this "split" law with standard ones obtained with the linear elastic law, shows a significant improvement.