半無限板縁き裂の同定問題の解析およびその効率化

概要

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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.
一般社団法人日本機械学会の論文
1991-12-25