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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. ASCI Technical Report, ASCI-TR144. . (Unpublished)

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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:Report or Paper (Technical Report)
Related URLs:
URLURL TypeDescription ItemJournal Article
Aubry, S.0000-0002-5123-8655
Ortiz, M.0000-0001-5877-4824
Additional Information:We are grateful for support provided by the US Department of Energy through Caltech’s ASCI/ASAP Center for the Simulation of the Dynamic Behavior of Solids. We are also indebted to Darcy Hughes for many useful discussions and suggestions, and for making her data available to us.
Group:Accelerated Strategic Computing Initiative, GALCIT
Funding AgencyGrant Number
Department of Energy (DOE)UNSPECIFIED
Series Name:ASCI Technical Report
Issue or Number:ASCI-TR144
Record Number:CaltechAUTHORS:20230210-225845734
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:119214
Deposited By: George Porter
Deposited On:11 Feb 2023 02:34
Last Modified:11 Feb 2023 02:34

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