A 4-component reaction kinetics scheme for the densities of mobile and sessile dislocations, and of mobile and immobile disclinations, was proposed for the description of microstructural development during plastic deformation up to large strains. The densities of sessile dislocations and immobile disclinations were related to flow stress contributions. A formula which corresponded to Mughrabi’s composite model was used for the dislocation contribution. Two contributions, which were coupled to the cell-block size and misorientation, were proposed for the disclinations. The dislocation rotation boundary networks were treated as Poisson-Voronoi mosaics in order to deduce them from the immobile disclination density.

Modelling of the Flow Behaviour of Metals by Means of Dislocation-Disclination Reaction Kinetics. M.Seefeldt, P.Klimanek: Modelling and Simulation in Materials Science and Engineering, 1998, 6[4], 349-60