Multi-Body-Interaction of Crystal Grains in Compatible-type Tricrystals under Tensile Loading and Formation of Disclination-type Displacement Field

Slip deformation in compatible-type tri-crystal models subjected to tensile load is investigated by using a continuum-mechanics-based crystal plasticity analysis technique. Accumulation of geometrically necessary dislocations (GDNs) and statistically stored dislocations (SSDs) are studied in detail. Mutual constraint of grains through the grain boundary plane does not occur in the compatible type tri-crystals, but results of the analysis show non-uniform deformaion and high density of GNDs accumulated in the form of band in each grain. Mechanism of non-uniform deformation and accumulation of GNDs in the form of band in the compatible-type tri-crystals is discussed from the viewpoint of multi-body interaction between constituent crystal grains. The multi-body interaction is shown to be caused by shape change of grains after slip deformation and contribute for the formation of disclination type displacement field at the grain boundary triple junction