Abstract

The author is involved in a wide ranging research programme aimed at extending sharp crack fracture mechanics to notches so that credit can be taken for their non-sharpness. A key feature of this programme is the representation of the elastic stress distribution in the vicinity of a blunt notch and a recent paper has analysed the model of a circular cylindrical notch in an infinite solid. It was shown, for a general loading, that with Mode III deformation, the local stress is uniquely defined by the radius of the notch and the peak stress σ p but is independent of the loading characteristics, whereas with Mode I deformation, the local stress does depend on the loading characteristics. In this paper, we quantify the effect of external dislocations, so as to provide support for the conclusions reached in the earlier paper.

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