Abstract A method is given for finding the equilibrium positions of a set of like dislocations in a common slip-plane under the influence of a given applied stress. Their positions are given by the roots of a certain set of orthogonal polynomials. The case of a set of free dislocations piled up against a fixed dislocation by a constant applied stress is discussed in detail and the resulting stress-distribution is compared with that produced by a crack with freely slipping surfaces.
A description is given of edge and screw dislocations in a close-packed cubic lattice, which leads up to an account of the theory of Frank and Read of the origin of slip bands. ...
A line integral is exhibited which has the same value for all paths surrounding the tip of a notch in the two-dimensional strain field of an elastic or deformation-type elastic-...
A detailed study has been made of the lattice imperfections which are assumed to account for plastic deformation. Calculations of the strain energy associated with these disloca...
Scattered scalar wavefields contain line singularities where the phase of the wave is indeterminate and the amplitude is zero. Unless the wave is monochromatic, these dislocatio...
The solutions for the problem of an infinite isotropic elastic solid stressed under tension T0 and containing a single internal crack of length c on the plane z=0 are given in a...
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