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Continuum modeling of dislocation plasticity: Theory, numerical implementation, and validation by discrete dislocation simulations

The invitation to write this feature paper resulted from an award-winning presentation of Sandfeld's PhD results at the MRS Fall-2009 meeting. The work solves the long-standing problem of connecting dislocation and continuum plasticity theories through a three-dimensional continuum theory of dislocation motion - the first such theory which is both consistent with the geometry of dislocation lines and amenable to efficient numerical implementation for real-world deformation processes. This work became the core of a German-UK collaboration which is coordinated by Prof. Gumbsch, peter.gumbsch@kit.edu and co- funded by German DFG with €1.8M under DFG-FOR 1650 (www.for1650.kit.edu) and by EPSRC under EP/J003387/1.