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**The stress field near the front of an arbitrarily shaped crack in a three-dimensional elastic body.**
*(English)*
Zbl 0777.73054

The title problem is considered with emphasis on the first three terms of the stress expansion proportional to \(r^{-1/2}\), \(r^ 0\), and \(r^{1/2}\), respectively, where \(r\) denotes the distance from the crack front. A plane crack, with a straight front and the stresses independent of the distance along the front, is studied in detail. The general case is then discussed using a system of curvilinear coordinates.

Reviewer: J.L.Nowinski (Newark / Delaware)

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\textit{J.-B. Leblond} and \textit{O. Torlai}, J. Elasticity 29, No. 2, 97--131 (1992; Zbl 0777.73054)

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### References:

[1] | M.L. Williams, On the stress distribution at the base of a stationary crack. ASME J. Appl. Mech. 24 (1957) 109–114. · Zbl 0077.37902 |

[2] | T.C.T. Ting, Asymptotic solution near the apex of an elastic wedge with curved boundaries. Q. Appl. Math. 42 (1985) 467–476. · Zbl 0568.73016 |

[3] | H.D. Bui, Mecanique de la rupture fragile, Paris: Masson (1978). |

[4] | J.B. Leblond, Crack paths in plane situations – I: General form of the expansion of the stress intensity factors. Int. J. Solids Structures 25 (1989) 1311–1325. · Zbl 0703.73062 |

[5] | B. Cotterell and J.R. Rice, Slightly curved or kinked cracks. Int. J. Fract. 16 (1980) 155–169. |

[6] | N.I. Muskhelishvili, Some Basic Problems in the Mathematical Theory of Elasticity. Groningen: Noordhoff (1953). · Zbl 0052.41402 |

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