超越特異積分方程式法による屈折き裂・分岐き裂の解析

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タイトル別名
  • The Hypersingular Integral Equation Method in the Analysis of Bent and Branched Cracks.
  • チョウエツ トクイ セキブン ホウテイシキホウ ニ ヨル クッセツ キレツ ブ

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In the previous papers, the hypersingular integral equation method (HIEM) was shown to be useful for exactly analyzing straight crack problems in the two-dimensional plane. The present paper concerns the application of the HIEM for the solution of the problems with intricate crack shapes. As examples, the stress intensity factors of bent and branched cracks under uniform tension are treated. Even in the case of that the bent part of the crack is extremely short, the accurate numerical results are obtained by selecting a convenient set of collocation points. The calculation shows that the HIEM, in which unknown functions are approximated by using Chebyshev polynomials, gives results of better accuracy compared with the previous method using such as stepped functions.

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