Microtexture region segmentation of eddy current testing data using a structural prior

IF 2 2区 数学 Q1 MATHEMATICS, APPLIED
Laura Homa, Tyler Lesthaeghe, Matt Cherry, J. Wertz
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引用次数: 0

Abstract

Microtexture regions (MTR) are collections of grains with similar crystallographic orientation. Because their presence in titanium alloys can significantly impact aerospace component life, a nondestructive method to detect and characterize MTR is needed. In this work, we propose to use data from two nondestructive evaluation methods, eddy current testing (ECT) and scanning acoustic microscopy (SAM), in order to recover the boundary and dominant crystallographic orientation of each MTR in a specimen. Eddy current testing is an electromagnetic method that is sensitive to changes in crystallographic orientation associated with MTR; however, its low resolution prevents it from resolving MTR boundaries well. In contrast, scanning acoustic microscopy is a high frequency ultrasound method that is able to resolve MTR boundaries but is not sensitive to orientation. This paper proposes an algorithm to characterize MTR that makes use of a method known as covariance generalized matching component analysis. This method is used to build a surrogate linear forward model that relates MTR boundaries and orientation to ECT data. The model is inverted using the SAM data as a structural prior. We demonstrate this technique using simulated ECT and experimental SAM data from a large grain titanium specimen.
利用结构先验对涡流测试数据进行微纹理区域分割
微纹理区 (MTR) 是具有相似晶体取向的晶粒集合。由于它们在钛合金中的存在会严重影响航空航天部件的寿命,因此需要一种无损方法来检测和表征 MTR。在这项工作中,我们建议使用涡流检测(ECT)和扫描声学显微镜(SAM)这两种无损评估方法的数据,以恢复试样中每个 MTR 的边界和主要晶体学取向。涡流检测是一种电磁方法,对与 MTR 相关的晶体学取向变化非常敏感;但由于分辨率低,无法很好地解决 MTR 边界问题。相比之下,扫描声学显微镜是一种高频超声波方法,能够分辨 MTR 边界,但对取向不敏感。本文提出了一种表征 MTR 的算法,它利用了一种称为协方差广义匹配成分分析的方法。该方法用于建立一个替代线性前向模型,将 MTR 边界和方向与 ECT 数据联系起来。该模型使用 SAM 数据作为结构先验进行反演。我们使用大晶粒钛试样的模拟 ECT 和实验 SAM 数据演示了这一技术。
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来源期刊
Inverse Problems
Inverse Problems 数学-物理:数学物理
CiteScore
4.40
自引率
14.30%
发文量
115
审稿时长
2.3 months
期刊介绍: An interdisciplinary journal combining mathematical and experimental papers on inverse problems with theoretical, numerical and practical approaches to their solution. As well as applied mathematicians, physical scientists and engineers, the readership includes those working in geophysics, radar, optics, biology, acoustics, communication theory, signal processing and imaging, among others. The emphasis is on publishing original contributions to methods of solving mathematical, physical and applied problems. To be publishable in this journal, papers must meet the highest standards of scientific quality, contain significant and original new science and should present substantial advancement in the field. Due to the broad scope of the journal, we require that authors provide sufficient introductory material to appeal to the wide readership and that articles which are not explicitly applied include a discussion of possible applications.
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