Boundary conditions in small-deformation, single-crystal plasticity that account for the Burgers vector

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A gradient theory of small-deformation isotropic plasticity that accounts for the Burgers vector and for dissipation due to plastic spin (2004, background): “Further, a consequence of the microhard condition in the form ḢP(n) = 0 is that Ḣ = Ḣp(n⊗n) and hence that, at a microhard point of the boundary, Ḣ has the form Ḣ = b⊗n with b ⊥ n (Gurtin and Needleman, 2004).”
The role of interfaces in enhancing the yield strength of composites and polycrystals (2005, methodology): “Implications for boundaries and interfaces, associated with this model, have recently been developed by Gurtin and Needleman (2005).”
Size effects and idealized dislocation microstructure at small scales: Predictions of a Phenomenological model of Mesoscopic Field Dislocation Mechanics: Part I (2005, methodology): “chieve similar effects. The boundary condition specifications above seem to cover situations that we can think of as being relevant in applications at the present time. 2.2.4 Contact with the work of Gurtin and Needleman (2005) We end this section by making contact with the work of Gurtin and Needle”
A mathematical basis for strain-gradient plasticity theory. Part II: Tensorial plastic multiplier (2009, methodology): “We note that there is a jump in the plastic strain at the interface, and a finite surface Nye tensor exists at the interface, as defined by Gurtin and Needleman (2005); this surface tensor can be used to quantify the dislocation density at the boundary.”