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Modeling of grain boundary transmission, emission, absorption and overall crystalline behavior in Σ1, Σ3, and Σ17b bicrystals

Published online by Cambridge University Press:  26 July 2011

Jibin Shi  and
Mohammed A. Zikry
Jibin Shi
Affiliation:
Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, North Carolina 27695-7910
Mohammed A. Zikry*
Affiliation:
Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, North Carolina 27695-7910
*
a)Address all correspondence to this author. e-mail: zikry@ncsu.edu
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Abstract

A dislocation-density grain–boundary (GB) interaction scheme for face-centered cubic bicrystals with three coincident site lattice boundaries was developed to account for the interrelated dislocation-density interactions of GB emission, absorption, and transmission. The proposed GB scheme was coupled to a dislocation-density multiple-slip crystalline plasticity formulation and specialized finite-element algorithms to account for behavior on the microstructural scale. A conservation law for dislocation densities was also used to balance dislocation-density absorption, transmission, and emission within the GB region. The predictions indicated that GB absorption increases are due to increases in immobile dislocation densities in high-angle GBs without coplanar slip planes and collinear slip directions, such as Σ17b. Low-angle GBs with coplanar slip planes and collinear slip directions are characterized by high transmission rates and insignificant GB dislocation-density accumulations. GB processes such as emission, absorption, and transmission are directly related to microstructural behavior and can be potentially controlled for desired material response.

Keywords

DislocationsGrain boundariesFracture
Type
Articles
Information
Journal of Materials Research , Volume 26 , Issue 14 , 28 July 2011 , pp. 1676 - 1687
Copyright
Copyright © Materials Research Society 2011

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