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首页> 外文期刊>IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control >Two Elastodynamic Incremental Models: The Incremental Theory of Diffraction and a Huygens Method
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Two Elastodynamic Incremental Models: The Incremental Theory of Diffraction and a Huygens Method

机译：两种弹性动力学增量模型：衍射增量理论和惠更斯方法

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摘要

The elastodynamic geometrical theory of diffraction (GTD) has proved to be useful in ultrasonic nondestructive testing (NDT) and utilizes the so-called diffraction coefficients obtained by solving canonical problems, such as diffraction from a half-plane or an infinite wedge. Consequently, applying GTD as a ray method leads to several limitations notably when the scatterer contour cannot be locally approximated by a straight infinite line: when the contour has a singularity (for instance, at a corner of a rectangular scatterer), the GTD field is, therefore, spatially nonuniform. In particular, defects encountered in ultrasonic NDT have contours of complex shape and finite length. Incremental models represent an alternative to standard GTD in the view of overcoming its limitations. Two elastodynamic incremental models have been developed to better take into consideration the finite length and shape of the defect contour and provide a more physical representation of the edge diffracted field: the first one is an extension to elastodynamics of the incremental theory of diffraction (ITD) previously developed in electromagnetism, while the second one relies on the Huygens principle. These two methods have been tested numerically, showing that they predict a spatially continuous scattered field and their experimental validation is presented in a 3-D configuration.
机译：衍射的弹性力学几何理论（GTD）已被证明可用于超声无损检测（NDT），并利用通过解决典型问题（例如从半平面或无限楔形的衍射）获得的所谓衍射系数。因此，将GTD用作射线方法会导致多个限制，尤其是当散射体轮廓不能通过直线无限局部局部逼近时：当轮廓具有奇异性（例如，在矩形散射体的一个角）时，GTD场为因此，在空间上不均匀。特别地，在超声无损检测中遇到的缺陷具有复杂形状和有限长度的轮廓。从克服其局限性的角度来看，增量模型代表了标准GTD的替代方案。已经开发了两个弹性动力学增量模型，以更好地考虑缺陷轮廓的有限长度和形状，并提供边缘衍射场的更多物理表示：第一个是衍射增量理论（ITD）的弹性力学的扩展。以前是在电磁学中发展起来的，而第二个则是基于惠更斯原理。这两种方法已经过数值测试，表明它们可以预测空间连续的散射场，并且其实验验证以3-D配置显示。

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