Ghorayeb S R, Xue T, Lord W
Department of Engineering, Hofstra University, Hempstead, New York 11549, USA.
J Dent Res. 1998 Jan;77(1):39-49. doi: 10.1177/00220345980770010301.
Ultrasound is used extensively in industry for the detection and characterization of defects in critical engineering structures. Similar techniques could be used in dentistry if a thorough understanding of ultrasonic wave propagation in teeth were available. This paper presents a hypothesis that finite element analysis can be used to solve the hyperbolic partial differential equation which governs ultrasonic wave propagation in teeth. A three-layer tooth phantom based on the geometry of a human second molar is used to illustrate the validity of this hypothesis. Simulated wave propagation studies are described for the tooth phantom with a gold crown layer, with an amalgam restoration insertion, and containing a cavity. Results clearly show the finite element code's ability to predict and visualize ultrasonic wave propagation in complex dental structures.
超声波在工业中被广泛用于检测和表征关键工程结构中的缺陷。如果能透彻了解超声波在牙齿中的传播情况,类似技术也可应用于牙科领域。本文提出一个假设,即有限元分析可用于求解控制超声波在牙齿中传播的双曲型偏微分方程。基于人类第二磨牙几何形状构建的三层牙齿模型被用于验证这一假设的有效性。文中描述了对带有金冠层、插入汞合金修复体以及含有龋洞的牙齿模型进行的模拟波传播研究。结果清楚地表明了有限元代码预测和可视化复杂牙齿结构中超声波传播的能力。