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A multi-phase field model of planar dislocation networks

Koslowski, M. and Ortiz, M. (2004) A multi-phase field model of planar dislocation networks. Modelling and Simulation in Materials Science and Engineering, 12 (6). pp. 1087-1097. ISSN 0965-0393. http://resolver.caltech.edu/CaltechAUTHORS:KOSmsmse04

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Abstract

In this paper we extend the phase-field model of crystallographic slip of Ortiz (1999 J. Appl. Mech. ASME 66 289–98) and Koslowski et al (2001 J. Mech. Phys. Solids 50 2957–635) to slip processes that require the activation of multiple slip systems, and we apply the resulting model to the investigation of finite twist boundary arrays. The distribution of slip over a slip plane is described by means of multiple integer-valued phase fields. We show how all the terms in the total energy of the crystal, including the long-range elastic energy and the Peierls interplanar energy, can be written explicitly in terms of the multi-phase field. The model is used to ascertain stable dislocation structures arising in an array of finite twist boundaries. These structures are found to consist of regular square or hexagonal dislocation networks separated by complex dislocation pile-ups over the intervening transition layers.


Item Type:Article
Additional Information:© 2004 IOP Publishing Ltd Print publication: Issue 6 (November 2004); Received 20 January 2004; Published 31 August 2004 We are grateful to the Department of Energy for support provided through Caltech’s ASCI/ASAP Center for the Simulation of the Dynamic Response of Solids.
Record Number:CaltechAUTHORS:KOSmsmse04
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:KOSmsmse04
Alternative URL:http://dx.doi.org/10.1088/0965-0393/12/6/003
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1649
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:09 Feb 2006
Last Modified:26 Dec 2012 08:45

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