Numerical Analysis of Disclinations in Connecting Kink Bands Formed by Multiple Basal Shear

Abstract

We analyzed the kinematic (geometric) aspects of kink bands with multiple basal shear using rank-1 connection to investigate the type of disclination and annihilation of disclinations in kink microstructures. We found that wedge disclinations occur in connecting kink bands for realistic magnitude of shear that can occur, regardless of the shear direction. The normal vector of the junction plane between kink bands and Frank vector of the resulting wedge-disclination varied continuously with respect to the changes in the magnitude and direction of the basal shear. Annihilation of disclinations is possible even between the kinks which are formed by multiple basal shears. Kinematical model of the three-dimensional wavy kinks are proposed using the obtained results.

Fig. 16 (a) Schematic of the three-dimensional morphology of a wavy ridge kink. The wavy kinks have a network of wedge disclinations. (b) Schematic of three-dimensional morphology of kink microstructure with annihilation of disclinations.