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- W2001650147 abstract "Further work is reported on the use of linear dislocation arrays to represent plastic relaxation round notches. In previous papers the relaxation in an infinite medium by arrays collinear with the notch was treated, both for a single notch and for an infinite sequence of notches. In antiplane strain these models provide a representation of relaxation round a surface notch in a semi-infinite medium and in a finite plate respectively. In the application of this work to the fracture of large structures the fracture criterion used involves the achievement of a critical displacement at the notch root. Further numerical calculations have now been completed which enable the critical displacement to be related explicitly to the applied stress, the yield stress, the notch size, the size of the structure and the extent of the relaxation, so that predictions about the dangerous stresses for a given notched structure, and the dangerous notch sizes for a structure subjected to a given stress can be obtained. A model has also been treated which includes a representation of work hardening during the relaxation process. Finally, preliminary results are reported on another extension of the model in which the relaxation takes place on two slip planes inclined symmetrically to the notch." @default.
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- W2001650147 date "1965-04-06" @default.
- W2001650147 modified "2023-10-03" @default.
- W2001650147 title "Representation of plasticity at notches by linear dislocation arrays" @default.
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- W2001650147 doi "https://doi.org/10.1098/rspa.1965.0086" @default.
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