Gengembre N, Lhemery A
Commissariat a l'Energie Atomique, CEREM, CEA-Saclay, Gif-sur-Yvette, France.
Ultrasonics. 2000 Mar;38(1-8):495-9. doi: 10.1016/s0041-624x(99)00068-2.
The principles of pencil elastodynamics and, in more detail, some selected applications of pencil techniques to elastodynamics are described. It is shown how a systematic use of a matrix representation for the wave front curvature and for its transformations simplifies the handling of arbitrary pencils and, consequently, the field computations. Pencil matrix representations for the propagation into homogeneous solids made of isotropic or anisotropic media are derived. The use of matrix representations for pencil reflections on, or refractions through, arbitrarily curved interfaces, together with matrix representations for propagation into homogeneous media, allow us to derive an overall matrix formulation for elastodynamic propagation into complex heterogeneous structures. Combined with the classical Rayleigh integral to account for transducer diffraction effects, the proposed theory is applied to the prediction of ultrasonic fields radiated into complex structures by arbitrary transducers. Examples of interest for application to ultrasonic non-destructive testing are given.
本文描述了铅笔弹性动力学原理，更详细地介绍了铅笔技术在弹性动力学中的一些选定应用。展示了如何系统地使用波前曲率及其变换的矩阵表示来简化任意铅笔的处理，从而简化场计算。推导了铅笔在由各向同性或各向异性介质构成的均匀固体中传播的矩阵表示。使用矩阵表示来描述铅笔在任意弯曲界面上的反射或折射，以及在均匀介质中传播的矩阵表示，使我们能够推导出弹性动力学传播到复杂非均匀结构中的整体矩阵公式。结合经典瑞利积分来考虑换能器衍射效应，将所提出的理论应用于预测任意换能器辐射到复杂结构中的超声场。给出了适用于超声无损检测的应用示例。
