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Abstract
A new and improved method for the treatment of dislocations in continuum numerical models, in the mesoscale range of lengths 1–1000 nm, is introduced. The dislocation representation, based on splined parametric polynomials, is described. The necessary numerical procedures are presented and justified in detail. Application of the method is illustrated by three examples. Firstly, the passage of perfect dislocations through a composite containing passive voids is studied; it is shown that in this case the resistance to dislocation motion can approach closely to the ideal of impenetrable obstacles. Secondly, the interaction of dissociated superdislocations with impenetrable obstacles is considered, for superpartial separations as small as two Burgers vectors; a smooth transition between known analytic limits is shown, demonstrating the utility of the method. Thirdly, the behaviour of Heidenreich-Shockley dissociated dislocations of varying character at coherent dispersoids is investigated; it is suggested that the probability of bypass by cross-slip is highest for dislocations of near-60[ddot] character.
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Notes
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