Numerical approximation of higher-dimensional Continuum Dislocation Dynamics theory in single crystal plasticity

The model of elasto-plasticity that based on dislocation densities obtained from the higher-dimensional Continuum Dislocations Dynamics (hdCDD) theory was proposed. The hdCDD was reformulated and analyzed in a more precise mathematical setting. The representative slip planes were introduced and the micro structure behavior happened within this domain. The full setting were provided by embedding multiple of representative slip planes using RKDG into the elastic body using FEM.