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A detailed theoretical and numerical investigation of the infinitesimalsingle-crystal gradient plasticity and grain-boundary theory of Gurtin (2008)"A theory of grain boundaries that accounts automatically for grainmisorientation and grain-boundary orientation". Journal of the Mechanics andPhysics of Solids 56 (2), 640-662, is performed. The governing equations andflow laws are recast in variational form. The associated incremental problem isformulated in minimization form and provides the basis for the subsequentfinite element formulation. Various choices of the kinematic measure used tocharacterize the ability of the grain boundary to impede the flow ofdislocations are compared. An alternative measure is also suggested. A seriesof three-dimensional numerical examples serve to elucidate the theory.

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