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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.
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Keywords
- Continuum Dislocation Theory
- Erweiterte Kontinuumstheorie
- Extended Continuum Theory
- Finite element method
- Finite Elemente Methode
- Gradient Crystal Plasticity
- Gradienten-Kristallplastizität
- Grain Boundary Modeling
- Kontinuumsversetzungstheorie
- Korngrenzmodellierung
- Mechanical engineering & materials
- Technology, engineering, agriculture