Effect of finite crack length and blunting on dislocation nucleation in mode III

Beltz, Glenn E.; Fischer, Lisa

doi:10.1080/01418619908210366

Cited by 10 publications

(1 citation statement)

References 17 publications

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“…The interaction of dislocations with sharp cracks has been the subject of intensive investigation (see, for example, [1][2][3]). The interaction of dislocations with blunt cracks has also been addressed (see, for example, [4][5][6]). A recent study [7] suggests that it may be best to represent a blunt crack simply by a parabolic cavity since the full-field solution for an isotropic elastic material with a traction-free parabolic boundary is simply the asymptotic elastic field near a blunt crack tip obtained by Creager and Paris [8].…”

Section: Introductionmentioning

confidence: 99%

Interaction of a screw dislocation with a parabolic cavity and a semi-infinite crack

Wang¹,

Yang

Schiavone

2020

Mathematics and Mechanics of Solids

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We derive an analytic solution to the problem of a screw dislocation interacting with a parabolic cavity and a semi-infinite sharp crack using conformal mapping techniques and the method of images. Closed-form expressions for the image force acting on the screw dislocation, the mode III stress intensity factor at the crack tip and the generalized mode III stress intensity factor for the parabolic cavity are obtained. The correctness of the solution is validated by comparison with existing solutions in the literature.

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