Department of Non-Destructive Testing, Acoustical and Electromagnetic Methods Division, Federal Institute for Materials Research and Testing, Unter den Eichen 87, D-12205 Berlin, Germany.
Ultrasonics. 2013 Feb;53(2):396-411. doi: 10.1016/j.ultras.2012.07.006. Epub 2012 Jul 23.
Ultrasound propagation in inhomogeneous anisotropic materials is difficult to examine because of the directional dependency of elastic properties. Simulation tools play an important role in developing advanced reliable ultrasonic non destructive testing techniques for the inspection of anisotropic materials particularly austenitic cladded materials, austenitic welds and dissimilar welds. In this contribution we present an adapted 2D ray tracing model for evaluating ultrasonic wave fields quantitatively in inhomogeneous anisotropic materials. Inhomogeneity in the anisotropic material is represented by discretizing into several homogeneous layers. According to ray tracing model, ultrasonic ray paths are traced during its energy propagation through various discretized layers of the material and at each interface the problem of reflection and transmission is solved. The presented algorithm evaluates the transducer excited ultrasonic fields accurately by taking into account the directivity of the transducer, divergence of the ray bundle, density of rays and phase relations as well as transmission coefficients. The ray tracing model is able to calculate the ultrasonic wave fields generated by a point source as well as a finite dimension transducer. The ray tracing model results are validated quantitatively with the results obtained from 2D Elastodynamic Finite Integration Technique (EFIT) on several configurations generally occurring in the ultrasonic non destructive testing of anisotropic materials. Finally, the quantitative comparison of ray tracing model results with experiments on 32mm thick austenitic weld material and 62mm thick austenitic cladded material is discussed.
各向异性非均匀材料中的超声传播由于弹性特性的各向异性而难以检测。模拟工具在开发先进的可靠超声无损检测技术方面发挥着重要作用,可用于检查各向异性材料,特别是奥氏体堆焊材料、奥氏体焊缝和异种焊缝。在本研究中,我们提出了一种改进的二维射线追踪模型,用于定量评估各向异性非均匀材料中的超声波场。各向异性材料中的不均匀性通过将其离散化为几个均匀层来表示。根据射线追踪模型,在材料的各个离散层中追踪超声射线的传播路径,并在每个界面处解决反射和透射问题。所提出的算法通过考虑换能器的方向性、射线束的发散、射线密度和相位关系以及透射系数,准确地评估了换能器激励的超声场。射线追踪模型能够计算点源和有限尺寸换能器产生的超声波场。在各向异性材料的超声无损检测中经常出现的几种配置上,通过二维弹性动力学有限积分技术(EFIT)对射线追踪模型结果进行了定量验证。最后,讨论了射线追踪模型结果与 32mm 厚奥氏体焊缝材料和 62mm 厚奥氏体堆焊材料实验的定量比较。