Rank-1 Connection of Kink Bands Formed by Non-Parallel Shears

Abstract

The geometry of kink bands with the general shear direction on the unique slip plane was formulated and the connection between two kink bands formed by non-parallel shears on the slip plane was examined using rank-1 connection. For a kink deformation in a metal with a hexagonal lattice, we derived an equation that decomposes the general shear direction into two ⟨a⟩ basal slips. The rotation axis of the misorientation of kink band moves away rapidly from ⟨0110⟩ to ⟨1210⟩ as the second ⟨a⟩ basal shear component increased. We proved that any two kink bands formed by non-parallel basal shears can be rank-1 connected to each other. In addition to the wedge disclination, a mixed disclination at the junction of two kink bands formed by non-parallel basal shears was found.

Fig. 6 Schematics of wedge and twist disclinations. The axis of rotation lies on the cutting plane in the wedge disclination, whereas it is perpendicular to the plane in the twist disclination.