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Characterization of a Random Anisotropic Conductivity Field with Karhunen-Loeve Methods (Postprint).

机译：用Karhunen-Loeve方法表征随机各向异性电导率场（postprint）。

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While parametric uncertainty quantification for NDE models has been addressed in recent years, the problem of stochastic field parameters such as spatially distributed electrical conductivity has only been investigated minimally in the last year. In that work, the authors treated the field as a one-dimensional random process and Karhunen-Loeve methods were used to discretize this process to make it amenable to UQ methods such as ANOVA expansions. In the present work, we will treat the field as a two-dimensional random process, and the eigenvalues and eigenfunctions of the integral operator will be determined via Galerkin methods. The Karhunen-Loeve methods is extended to two dimensions and implemented to represent this process. Several different choices for basis functions will be discussed, as well as convergence criteria for each. The methods are applied to correlation functions collected over electron backscatter data from highly micro textured Ti-7Al.

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Cherry, M. R.; Sabbagh, H. S.; Pilchak, A. L.; Knopp, J. S.;
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年度 2013
页码 1-11
总页数 11
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Eddy currents; Anisotropy; Correlation; Electrical conductivity; Nondestructive testing; Random variables; Titanium alloys; Uncertainty; Karhunen loeve methods; Process; Stochastic; Uncertainty quantification; Pe62102f; Wuafrl4347x0su;

机译：涡流;各向异性;相关性;电导率;无损检测;随机变量;钛合金;不确定度; Karhunen loeve方法;工艺;随机;不确定性量化; pe62102f; Wuafrl4347x0su;

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Characterization of a Random Anisotropic Conductivity Field with Karhunen-Loeve Methods (Postprint).

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