Kyle Starkey¹, Anter El-Azab¹, Grethe Winther²; ¹Purdue University, ²Technical University of Denmark

We present a finite deformation, density-based dislocation dynamics approach for mesoscale deformation of single crystals. A derivation of the dislocation transport equations at finite strain and lattice rotation in both Lagrangian and Eulerian forms is outlined, with a special focus on the kinematic coupling of dislocation density evolution on individual slip systems and on coupling via cross slip and dislocation reactions. A numerical scheme based on a staggered solution of the transport and stress equilibrium problems has been implemented within a finite element framework. We present simulations of several test problems such as low angle and twist boundaries, known geometrically necessary boundaries, which form under special loading modes. We also present preliminary predictions on geometrically necessary boundary formation and compare our results with TEM data. The lattice rotation effects of the forming patterns will be also be highlighted.