A Second Order Perturbation Solution of a Non-Collinear Crack And Its Application to Crack Path Prediction of Brittle Fracture in Weldment

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概要

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• Stress intensity factors are analyzed for a non-collinear crack by using a second order perturbation method. The method is extended to obtain an approximate representation of stress intensity factors at the tip of a straight crack with a slightly branched and curved extension. Having examined the near tip asymptotic stress field, the effects of far field boundary conditions are taken into account in the sense of a matched asymptotic expansion. An energy release rate due to non-collinear crack growth can be calculated by using Irwin's formula. As far as homogeneous materials are concerned, the crack path criterion by which the maximum energy release rate is attained is equivalent to the local symmetry criterion within the second order approximation. Considerations are also made for branched crack extension in materials with inhomogeneous fracture toughness. Paths of brittle cracks propagating along a welded joint are predicted as a practical application of the present method, where the effects of applied stresses, residual stresses, and material deterioration due to welding are taken into considerations.

• 社団法人日本船舶海洋工学会の論文

著者

• Sumi Yoichi

  Yokohama National University

• Sumi Yoichi

  Yokohama National Univ.

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