Elastic constants identification of irregular hard biological tissue materials using FEM-based resonant ultrasound spectroscopy
Elastic constants identification of irregular hard biological tissue materials using FEM-based resonant ultrasound spectroscopy
复制标题
使用基于 FEM 的共振超声光谱法识别不规则硬生物组织材料的弹性常数
DOI：
10.1016/j.jmbbm.2019.04.031
复制
发表时间：
2019
影响因子：
3.9
通讯作者：
Laugier Pascal
中科院分区：
文献类型：
--
作者：
Wang Rui;Fan Fan;Zhang Qiang;Li Xiaoming;Niu Haijun;Laugier Pascal
本文旨在应用共振超声波谱技术（罗斯）结合微计算机断层扫描（μ-CT）和有限元法（FEM）对牙釉质等不规则硬生物组织材料的弹性常数进行定量分析。在这种方法中，首先测量在无应力边界条件下测试的不规则形状样品的共振频率。然后，利用微计算机断层扫描（μ-CT）获取了样品的三维几何信息，并利用有限元法计算了样品的共振频率。因此，使用Levenberg-Marquardt算法的优化过程更新FEM模型中的弹性常数，直到来自模型的输出固有频率符合来自罗斯实验的结果。所提出的方法已被测试的校准材料。为此，选择了钛。用传统的罗斯法得到的一个长方体形状的钛样品的弹性常数与用基于有限元法的罗斯法得到的五个不规则形状的钛样品的弹性常数吻合得很好，显示出小于2%的差异。一旦该方法在钛上得到验证，就将其应用于釉质样品。结果表明，基于有限元的罗斯法可以有效地识别不规则钛和釉质样品的弹性常数。本研究拓展了罗斯技术的应用范围，为不规则硬质生物组织材料弹性性能的测量提供了一种新的方法。
This paper aims to apply the resonant ultrasound spectroscopy technique (RUS) combined with micro computed tomography (μ-CT) and finite element method (FEM) to quantify the elastic constants of the irregular hard biological tissue material such as enamel. In this method, the resonant frequencies of an irregular shaped sample tested under stress-free boundary conditions are measured first. Then, micro-computed tomography (μ-CT) is used to acquire three-dimensional (3-D) geometry information of the sample, and the resonant frequencies are calculated with FEM. Thereby, an optimization procedure using the Levenberg-Marquardt algorithm updates the elastic constants in the FEM model until the output natural frequencies from the model fit the results from the RUS experiments. The proposed method has been tested first on a calibration material. To this purpose, titanium has been selected. The elastic constants of a rectangular parallelepiped shaped titanium sample obtained by the conventional RUS method and those of five irregular samples obtained by FEM-based RUS were in good agreement, displaying differences less than 2%. Once the method has been validated on titanium, it was applied to an enamel sample. The results show that the FEM-based RUS method can effectively identify the elastic constants of irregular titanium and enamel samples. This study expands the application range of RUS technology and provides a new method for the measurement of elastic properties of irregular hard biological tissue materials.