A thermo-mechanical theory for dislocation dynamics, called the Thermal Field Dislocation Mechanics (T-FDM) model, has been recently proposed in Upadhyay JMPS 145 (2020) 104150. Its novelty lies in its capability to capture (i) dislocation transport, generation, annihilation and interactions with other defects under any thermo-mechanical loading (e.g., solid-state thermal cycling during AM, quenching, recovery, etc.), and (ii) local temperature changes due to dislocation dynamics.
With the aim to perform simulations at experimental time scales while numerically maintaining “compact dislocation cores”, a time-explicit Runge-Kutta Discontinuous Galerkin Finite Element (RKDG-FE) implementation of the dislocation transport equation used in T-FDM has been proposed. For similar accuracy, simulations using this scheme are several orders of magnitude faster than those with existing FE implementation. Some results from dislocation transport/interaction simulations will be presented. The RKDG-FE scheme will facilitate a one-to-one comparison of the T-FDM model with advanced space/time-resolved characterisation techniques e.g., dark-field X-ray microscopy.