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A simple numerical model of me apparent loss of eddy current conductivity due to surface roughness

机译:由表面粗糙度引起的涡流电导率表观损失的简单数值模型

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In light of its frequency-dependent penetration depth, the measurement of eddy current conductivity has been suggested as a possible means to allow the nondestructive evaluation of subsurface residual stresses in shot-peened specimens. This technique is based on the so-called electro-elastic effect, i.e. the stress-dependence of the electrical conductivity. Unfortunately, the relatively small change in electrical conductivity caused by shot peening is often distorted, or even completely overshadowed, by the apparent conductivity loss caused by the accompanying surface roughness. This geometrical artifact is due to the fact that as the frequency increases, and therefore the penetration depth decreases, the path of the eddy current must follow a more tortuous route in the material, which produces a reduction in the observed conductivity. This paper addresses the apparent reduction of the near-surface electrical conductivity measured by the eddy current method in the presence of surface roughness. The rough surface is modeled as a one-dimensional sinusoidal corrugation using the Rayleigh-Fourier method. The apparent conductivity is determined from the resulting change in the plane-wave reflection coefficient of the conducting half-space at normal incidence. In spite of the simplicity of the suggested analytical model, the obtained theoretical results are found to be in good qualitative agreement with recently published experimental data from shot-peened copper specimens.
机译:鉴于其与频率有关的穿透深度,已建议对涡流电导率进行测量,作为一种可能的方法,可以对喷丸处理后的样品中的表面残余应力进行无损评估。该技术基于所谓的电弹性效应,即电导率的应力依赖性。不幸的是,由喷丸处理引起的相对较小的电导率变化通常会因伴随的表面粗糙度而导致的明显的电导率损失而被扭曲甚至完全被遮盖。这种几何假象是由于以下事实造成的:随着频率的增加,因此穿透深度减小,涡流的路径必须遵循材料中更曲折的路径,这会降低所观察到的电导率。本文探讨了在存在表面粗糙度的情况下通过涡流法测得的近表面电导率的明显降低。使用Rayleigh-Fourier方法将粗糙表面建模为一维正弦波纹。表观电导率是由法向入射时导电半空间的平面波反射系数的变化确定的。尽管建议的分析模型简单,但发现获得的理论结果与喷丸铜样品的最新发表的实验数据在质量上吻合。

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