Estimation of periodontal ligament's equivalent mechanical parameters for finite element modeling.
Estimation of periodontal ligament's equivalent mechanical parameters for finite element modeling.
复制标题
牙周韧带的估计有限元建模的等效机械参数。
DOI：
10.1016/j.ajodo.2012.10.025
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发表时间：
2013-04
影响因子：
3
通讯作者：
Chen, Jie
中科院分区：
文献类型：
--
作者：
Xia, Zeyang;Jiang, Feifei;Chen, Jie
牙周膜的杨氏模量（E）和泊松比（V）在有限元分析中是需要的，以研究牙齿、牙周膜和骨复合体的生物力学行为。然而，先前报告的E（0.01- 1，750 MPa）和v（0.28-0.49）存在较大差异。本研究的目的是缩小范围，并提供等效的E和V对适用于有限元建模的牙齿，牙周膜，和骨复合体，使用报告的冠载荷-位移关系作为标准。通过锥形束计算机断层扫描，创建了一个3齿、牙周膜和骨复合体的三维有限元模型，该模型由上颌中切牙和2个相邻牙齿组成。尺寸、约束和载荷条件与人体研究中报告的相似。在施加于牙冠的载荷下，独立调整v和E，并计算相应的牙冠位移。将所得载荷-位移曲线与人体研究中报告的曲线进行比较。平均绝对位移差法用于找到最佳拟合。确定了产生最小平均绝对位移差的E和v对。具有3个E和v对中的1个（v = 0.35，E = 0.87 MPa; v = 0.4，E = 0.71 MPa;和v = 0.45，E = 0.47 MPa）的有限元模型很好地模拟了牙齿、牙周膜和骨复合体。平均绝对位移差分别为0.0135、0.0138和0.0138 mm;小于0.175 mm的8%，0.175 mm是500 cN载荷下牙齿、牙周膜和骨复合体的牙冠位移。接近3对的E和v值可用于牙齿、牙周膜和骨复合体的有限元建模。
Young’s modulus (E) and Poisson’s ratio (v) of the periodontal ligament are needed in a finite element analysis for investigating the biomechanical behavior of a tooth, periodontal ligament, and bone complex. However, large discrepancies in E (0.01–1,750 MPa) and v (0.28–0.49) were reported previously. The objective of this study was to narrow the ranges and to provide equivalent E and v pairs suitable for finite element modeling of a tooth, periodontal ligament, and bone complex by using a reported crown load-displacement relationship as the criterion. A 3-dimensional finite element model of a 3-tooth, periodontal ligament, and bone complex, consisting of a maxillary central incisor with 2 adjacent teeth, from a cone-beam computed tomography scan was created. The dimensions, constraints, and loading condition were kept similar to those reported in the human study. With the load applied to the crown, both v and E were adjusted independently, and the corresponding crown displacements were calculated. The resulting load-displacement curves were compared with those reported in the human study. The mean absolute displacement difference method was used to find the best fit. The E and v pairs that generated the minimum mean absolute displacement difference were identified. The finite element model with 1 of the 3 E and v pairs (v = 0.35, E = 0.87 MPa; v = 0.4, E = 0.71 MPa; and v = 0.45, E = 0.47 MPa) simulated the tooth, periodontal ligament, and bone complex well. The mean absolute displacement differences were 0.0135, 0.0138, and 0.0138 mm, respectively; these are less than 8% of 0.175 mm, which was the crown displacement of the tooth, periodontal ligament, and bone complex under the load of 500 cN. The E and v values close to the 3 pairs might be used for finite element modeling of the tooth, periodontal ligament, and bone complex.
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DOI：
10.1243/0954411001535525
发表时间：
2000-01-01
影响因子：
1.8
作者：
van Driel, WD;van Leeuwen, EJ;Kuijpers-Jagtman, AM
通讯作者：
Kuijpers-Jagtman, AM
DOI：
10.1080/10255840290032117
发表时间：
2002-04-01
影响因子：
1.6
作者：
Pietrzak, G;Curnier, A;Belser, U
通讯作者：
Belser, U
影响因子：
14
作者：
Rees, JS;Jacobsen, PH
通讯作者：
Jacobsen, PH
影响因子：
2.2
作者：
Yoshida, N;Koga, Y;Kobayashi, K
通讯作者：
Kobayashi, K
DOI：
10.1067/mod.2001.116085
发表时间：
2001-09-01
影响因子：
3
作者：
Qian, HH;Chen, J;Katona, TR
通讯作者：
Katona, TR