Computational and theoretical aspects of a grain-boundary model that accounts for grain misorientation and grain-boundary orientation

authored by: D. Gottschalk, A. McBride, B. D. Reddy, A. Javili, P. Wriggers, C. B. Hirschberger
Abstract: A detailed theoretical and numerical investigation of the infinitesimal single-crystal gradient-plasticity and grain-boundary theory of Gurtin (2008) is performed. The governing equations and flow laws are recast in variational form. The associated incremental problem is formulated in minimisation form and provides the basis for the subsequent finite element formulation. Various choices of the kinematic measure used to characterise the ability of the grain boundary to impede the flow of dislocations are compared. An alternative measure is also suggested. A series of three-dimensional numerical examples serve to elucidate the theory.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): University of Cape Town (UCT)
Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU Erlangen-Nürnberg)
Type: Article
Journal: Computational materials science
Volume: 111
Pages: 443-459
No. of pages: 17
ISSN: 0927-0256
Publication date: 01.2016
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: General Computer Science, General Chemistry, General Materials Science, Mechanics of Materials, General Physics and Astronomy, Computational Mathematics
Electronic version(s): https://doi.org/10.1016/j.commatsci.2015.09.048 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{26e824e6ba7d4586a7247ba9c07e55c1,
title = "Computational and theoretical aspects of a grain-boundary model that accounts for grain misorientation and grain-boundary orientation",
abstract = "A detailed theoretical and numerical investigation of the infinitesimal single-crystal gradient-plasticity and grain-boundary theory of Gurtin (2008) is performed. The governing equations and flow laws are recast in variational form. The associated incremental problem is formulated in minimisation form and provides the basis for the subsequent finite element formulation. Various choices of the kinematic measure used to characterise the ability of the grain boundary to impede the flow of dislocations are compared. An alternative measure is also suggested. A series of three-dimensional numerical examples serve to elucidate the theory.",
keywords = "A. Grain boundaries, B. Crystal plasticity, C. Finite elements, Gradient plasticity",
author = "D. Gottschalk and A. McBride and Reddy, {B. D.} and A. Javili and P. Wriggers and Hirschberger, {C. B.}",
note = "Funding information: DG and PW like to acknowledge the support of the German Science Foundation (Deutsche Forschungsgemeinschaft, DFG) provided for the international research training group GRK 1627. BDR acknowledges the support provided by the National Research Foundation through the South African Research Chair in Computational Mechanics. Part of this work was completed while BDR was visiting the Institute of Continuum Mechanics (IKM), Leibniz Universit{\"a}t Hannover, as the recipient of a Georg Forster Research Award from the Alexander von Humboldt Foundation. The hospitality and funding provided by these organizations are acknowledged with thanks.",
year = "2016",
month = jan,
doi = "10.1016/j.commatsci.2015.09.048",
language = "English",
volume = "111",
pages = "443--459",
journal = "Computational materials science",
issn = "0927-0256",
publisher = "Elsevier",
}