TY - JOUR

T1 - Computational and theoretical aspects of a grain-boundary model that accounts for grain misorientation and grain-boundary orientation

AU - Gottschalk, D.

AU - McBride, A.

AU - Reddy, B. D.

AU - Javili, A.

AU - Wriggers, P.

AU - Hirschberger, C. B.

N1 - 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 Universität 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.

PY - 2016/1

Y1 - 2016/1

N2 - 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.

AB - 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.

KW - A. Grain boundaries

KW - B. Crystal plasticity

KW - C. Finite elements

KW - Gradient plasticity

UR - http://www.scopus.com/inward/record.url?scp=84944339830&partnerID=8YFLogxK

U2 - 10.1016/j.commatsci.2015.09.048

DO - 10.1016/j.commatsci.2015.09.048

M3 - Article

AN - SCOPUS:84944339830

VL - 111

SP - 443

EP - 459

JO - Computational materials science

JF - Computational materials science

SN - 0927-0256

M1 - 6763

ER -