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The mechanics of deformation-induced subgrain-dislocation structures in metallic crystals at large strains

Aubry, S. and Ortiz, M. (2003) The mechanics of deformation-induced subgrain-dislocation structures in metallic crystals at large strains. Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences, 459 (2040). pp. 3131-3158. ISSN 1364-5021. http://resolver.caltech.edu/CaltechAUTHORS:20171128-114743083

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Abstract

We present a streamlined limiting case of the theory of Oritz & Repetto for crystals with microstructure in which the crystals are assumed to exhibit infinitely strong latent hardening. We take this property to signify that the crystal must necessarily deform in single slip at all material points. This requirement introduces a non–convex constraint that renders the incremental problem non–convex. We have assessed the ability of the theory to predict salient aspects of the body of experimental data compiled by Hansen et al. regarding lamellar dislocation structures in crystals deformed to large strains. Although the comparisons with experiment are somewhat indirect, the theory appears to correctly predict salient aspects of the statistics of misorientation angles and lamellar–boundary spacings, and the scaling of the average misorientation and spacing with increasing macroscopic strain.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://dx.doi.org/10.1098/rspa.2003.1179DOIArticle
http://rspa.royalsocietypublishing.org/content/459/2040/3131PublisherArticle
Additional Information:© 2003 Royal Society. Received 14 February 2002; accepted 14 April 2003; published online 7 October 2003. We are grateful for support provided by the US Department of Energy through Caltech’s ASCI/ASAP Center for the Simulation of the Dynamic Behaviour of Solids. We are also indebted to Darcy Hughes for many useful discussions and suggestions, and for making her data available to us.
Group:GALCIT
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Funding AgencyGrant Number
Department of Energy (DOE)UNSPECIFIED
Subject Keywords:plasticity; latent hardening; crystals; microstructure; lamellar boundaries
Record Number:CaltechAUTHORS:20171128-114743083
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20171128-114743083
Official Citation:The mechanics of deformation–induced subgrain–dislocation structures in metallic crystals at large strains S. Aubry, M. Ortiz Proc. R. Soc. Lond. A 2003 459 3131-3158; DOI: 10.1098/rspa.2003.1179. Published 8 December 2003
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:83528
Collection:CaltechAUTHORS
Deposited By: Lydia Suarez
Deposited On:28 Nov 2017 19:57
Last Modified:28 Nov 2017 19:57

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