Modeling and Simulations of Experimentally-Observed Dislocation Substructures Based on Field Theory of Multiscale Plasticity (FTMP) Combined with TEM and EBSD-Wilkinson Method for FCC and BCC Poly/Single Crystals

An attempt is made here to reproduce the experimentally-observed inhomogeneous deformation structures based on FTMP (Field Theory of Multiscale Plasticity), where TEM observations for sheared single crystal samples with four typical crystallographic orientations as well as an EBSD-Wilkinson method-based result for a polycrystal are taken as recent successful examples, ultimately aiming at developing a new technique for in situ/ex situ local-global inhomogeneity evaluation during elasto-plastic deformation combined with these experimental techniques. Crystal plasticity-based finite element simulations utilizing FTMP-based incompatibility model are conducted in connection with a working hypothesis called flow-evolutionary law, whose manifestation is given as a relationship between the incompatibility tensor and the energy-momentum tensor (duality diagram). Demonstrated are not only successful reproductions of the orientation-dependent dislocation substructures and the intra-granularly evolved deformation structures, but also the associated energy flow with the evolved inhomogeneities visualized on the corresponding duality diagram.