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Exact solution for the mode III stress fields ahead of cracks initiated at sharp notch tips. (English) Zbl 1406.74604

Summary: In this work, the exact solution for the stress fields ahead of cracks initiated at sharp notch tips under antiplane shear and torsion loadings is derived in close form, leveraging conformal mapping and the complex potential method for antiplane elasticity. Based on the stress field distributions, relevant expressions for the mode III crack stress intensity factors are derived and their accuracy is discussed in detail taking advantage of a bulk of results from FE analyses.

MSC:

74R10 Brittle fracture
74S05 Finite element methods applied to problems in solid mechanics
Full Text: DOI

References:

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