体積力法による三次元表面き裂の位置・形状の同定

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  • Determination of Location and Shape of 3-D Mode I Surface Crack by Body Force Method.
  • タイセキリョクホウ ニ ヨル 3ジゲン ヒョウメン キレツ ノ イチ ケイジョ

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In this study, the location and the size of the three-dimensional semi-elliptical surface crack in a semi-infinite body, and the loading stress at infinity are determined on the basis of the data of strains measured around the region of the crack. In searching for the location and the size of the surface crack, the method of gradient search is employed which minimizes the sum of the squares of the residuals between the measured strain distributions and the computed ones for the assumed crack location and size. The body force method is used to calculate the strain field around the crack. In order to obtain the solution with short CPU time, the crack is represented by several concentrated force doublets ; moreover, the database of the magnitudes of force doublets for various aspect ratios of the crack is utilized. Based on the fact that the strain field around the surface crack is mainly dominated by the crack area, the crack area and the aspect ratio are chosen as parameters and several inversion schemes are examined to obtain accurate results. Numerical simulations are carried out and the results show that the location and the shape of the crack are determined efficiently and with good accuracy.

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