Continuum Description of Discrete Dislocation Systems based on Field Theory of Multiscale Plasticity (FTMP)

Abstract

We discuss how and to what extent the Field Theory of Multiscale Plasticity (FTMP) can rationally and effectively describe discrete representations of dislocations and dislocation ensembles, utilizing systematically designed simulation results for both elementary processes and various wall structures. We demonstrate successful representations and provide both quantitative and qualitative evaluations of these results through duality diagrams and phase space trajectory schemes in FTMP. This approach also allows us to extend these representations to continuous models, such as those used in CP-FEM.