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A physically-based dislocation theory of plasticity is derived within an extended continuum mechanical context. Thermodynamically consistent flow rules at the grain boundaries are derived. With an analytical solution of a three-phase periodic laminate, dislocation pile-up at grain boundaries and dislocation transmission through the grain boundaries are investigated. For the finite element implementations, numerically efficient approaches are introduced based on accumulated field variables.

Mechanical engineering & materials --- Gradienten-Kristallplastizität --- Erweiterte Kontinuumstheorie --- Kontinuumsversetzungstheorie --- Korngrenzmodellierung --- Finite Elemente Methode --- Gradient Crystal Plasticity --- Extended Continuum Theory --- Continuum Dislocation Theory --- Grain Boundary Modeling --- Finite Element Method