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Dislocation pile-ups in bicrystals within continuum dislocation theory

Kochmann, D. M. and Le, K. C. (2008) Dislocation pile-ups in bicrystals within continuum dislocation theory. International Journal of Plasticity, 24 (11). 2125 - 2147. ISSN 0749-6419. https://resolver.caltech.edu/CaltechAUTHORS:20131001-082855438

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Abstract

Within continuum dislocation theory the plastic deformation of bicrystals under a mixed deformation of plane constrained uniaxial extension and shear is investigated with regard to the nucleation of dislocations and the dislocation pile-up near the phase boundaries of a model bicrystal with one active slip system within each single crystal. For plane uniaxial extension, we present a closed-form analytical solution for the evolution of the plastic distortion and of the dislocation network in the case of symmetric slip planes (i.e. for twins), which exhibits an energetic as well as a dissipative threshold for the dislocation nucleation. The general solution for non-symmetric slip systems is obtained numerically. For a combined deformation of extension and shear, we analyze the possibility of linearly superposing results obtained for both loading cases independently. All solutions presented in this paper also display the Bauschinger effect of translational work hardening and a size effect typical to problems of crystal plasticity.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/j.ijplas.2008.03.007DOIArticle
http://www.sciencedirect.com/science/article/pii/S0749641908000594PublisherArticle
ORCID:
AuthorORCID
Kochmann, D. M.0000-0002-9112-6615
Additional Information:© 2008 Elsevier. Received 31 January 2008. Revised 28 March 2008. Available online 7 April 2008.
Group:GALCIT
Subject Keywords:Bicrystal; A. Dislocations; A. Microstructures; A. Twinning; B. Crystal plasticity
Issue or Number:11
Record Number:CaltechAUTHORS:20131001-082855438
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20131001-082855438
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:41581
Collection:CaltechAUTHORS
Deposited By: Dennis Kochmann
Deposited On:01 Oct 2013 20:44
Last Modified:03 Oct 2019 05:50

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