Modelling and simulation in materials science and engineering vol:6 issue:4 pages:349-360
A four-component reaction kinetics for the densities of mobile and non-excess sessile dislocations and of mobile and immobile disclinations is proposed to describe the microstructure development under plastic deformation up to large strains. The densities of non-excess sessile dislocations and of immobile disclinations are connected to Bow stress contributions. For the dislocation contribution, a Taylor formula corresponding to Mughrabi's composite model is used. For the disclinations, two contributions coupled to the cell block size and to the misorientation, respectively, are proposed. To calculate them from the immobile disclination density, the dislocation rotation boundary network is treated as a Poisson-Voronoi mosaic.