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Efficient Inverse Analysis to Search for the Edge Crack in the Semi-Infinite Plate

机译:高效反分析在半无限平板中寻找边缘裂纹

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摘要

In this study, the location of the edge crack in the semi-infinite plate and the loading stress at the infinity are detected by the data of strains measured around the region of the crack. In searching for the location of the edge crack, the method of gradient search is employed to minimize the square sum of the residuals between the measured strain distributions and the computed ones for the assumed crack locations. The strain field induced by the assumed edge crack is exactly analyzed by using the hypersingular integral equation method (HIEM). All integrals used in the present analysis are expressed in closed forms and the results can be given with short CPU time. The starting point for the gradient search can be estimated efficiently on the basis of the concept of the body force method where the crack can be represented by a pair of point forces. The results show the location of the crack are determined efficiently with good accuracies.
机译:在这项研究中,通过在裂纹区域周围测得的应变数据来检测半无限板中边缘裂纹的位置和无限大处的加载应力。在寻找边缘裂纹的位置时,采用梯度搜索的方法可以最小化所测得的应变分布与假定裂纹位置的计算值之间的残差平方和。使用超奇异积分方程法(HIEM)可以精确地分析由假定的边缘裂纹引起的应变场。本分析中使用的所有积分均以封闭形式表示,并且可以在较短的CPU时间下给出结果。梯度搜索的起点可以根据体力法的原理有效地估算,其中裂纹可以用一对点力表示。结果表明,裂纹的位置得到了有效的确定,精度很高。

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