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A non-local formulation of the Peierls dislocation model

Miller, Ron and Phillips, Rob and Beltz, Glen and Ortiz, Michael (1998) A non-local formulation of the Peierls dislocation model. Journal of the Mechanics and Physics of Solids, 46 (10). pp. 1845-1867. ISSN 0022-5096. doi:10.1016/S0022-5096(98)00057-X.

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Cohesive zone models provide an illuminating and tractable way to include constitutive non-linearity into continuum models of defects. Powerful insights have been gained by studying both dislocations and cracks using such analyses. Recent work has shown that as a result of the locality assumption present in such cohesive zone models, significant errors can be made in the treatment of defect energies. This paper aims to construct a non-local version of the Peierls–Nabarro model in which the atomic level stresses induced at the slip plane depend in a non-local way on the slip degrees of freedom. Our results should be seen as a demonstration in principle of how microscopic calculations can be used to construct insights into constitutive nonlocality. The non-local interplanar kernel used here is computed directly from atomistics and is used to evaluate both the structure and energetics of planar dislocations. The non-local formulation does not significantly change the dislocation core structure from that obtained with the local model, but the new formulation leads to significant improvements in the description of dislocation energetics for dislocations with planar cores.

Item Type:Article
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URLURL TypeDescription Paper
Phillips, Rob0000-0003-3082-2809
Ortiz, Michael0000-0001-5877-4824
Additional Information:© 1998 Elsevier. Revised 16 March 1998, Available online 4 March 1999. This work was supported by the Natural Sciences and Engineering Research Council of Canada, by NSF Grants CMS-9414648 and CMS-9502020 and by the National Science Foundation under the Materials Research Group Grant No. DMR-9223683. We are grateful to S. Foiles and M. Daw for the use of their code Dynamo. Finally, it is a pleasure to acknowledge useful conversations with V. Bulatov, A. Carlsson, M. S. Duesbery, J. R. Rice, V. Shenoy and E. Tadmor.
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Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Issue or Number:10
Record Number:CaltechAUTHORS:20171213-100338338
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Official Citation:Ron Miller, Rob Phillips, Glen Beltz, Michael Ortiz, A non-local formulation of the peierls dislocation model, In Journal of the Mechanics and Physics of Solids, Volume 46, Issue 10, 1998, Pages 1845-1867, ISSN 0022-5096, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:83873
Deposited By: Lydia Suarez
Deposited On:13 Dec 2017 18:39
Last Modified:15 Nov 2021 20:14

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