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Reference: C. L. Hall and X. Markenscoff, (2011). On approaches to modelling lattice dislocations.Citable link to this page:

 

On approaches to modelling lattice dislocations

Abstract: By proposing a sinusoidal relationship between slip discontinuity and the associated mismatch force, Peierls and Nabarro famously developed a dislocation model that eliminates the stress singularity from the Volterra dislocation model. Recently, Lubarda and Markenscoff (Appl. Phys. Lett. 89:151923, 2006) developed a model in which the Burgers vector of the dislocation is applied over some finite distance, , described as the ‘core radius’. They found that the shear stress on the glide-plane predicted in the Lubarda-Markenscoff model is identical to that predicted by the Peierls-Nabarro model. In this paper, we investigate generalisations of both the Lubarda-Markenscoff and Peierls-Nabarro models, demonstrating that different distributions of infinitesimal dislocations in a generalised Lubarda-Markenscoff model can be associated with different expressions for the misalignment force in a generalised Peierls-Nabarro model. Our results indicate that the generalised Lubarda-Markenscoff framework is a versatile and useful method for modelling the core of a dislocation that neatly complements the well established Peierls-Nabarro framework.

Bibliographic Details

Issue Date: 2011Identifiers

Urn: uuid:bb1c387f-695b-46d6-a8b1-3cc6209186ff Item Description

Type: Article;

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Autor: C. L. Hall - - - X. Markenscoff - - - - Bibliographic Details Issue Date: 2011 - Identifiers Urn: uuid:bb1c387f-695b-46d6-a8b1-3c

Fuente: https://ora.ox.ac.uk/objects/uuid:bb1c387f-695b-46d6-a8b1-3cc6209186ff



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