Elastic incompatibility stresses across planar and nonplanar grain boundaries in silver, aluminum, and zirconium applied to ductile fracture criteria under high triaxial stress

Abstract

Grain boundaries in a polycrystal imply elastic incompatibilities that can lead to stress states in the vicinity of the interface that are different from the macroscopic or applied stresses because the single crystal elastic properties are not all isotropic. This phenomenon is important as mechanical processes may operate at the microscopic level that would not be predicted based on the macroscopic stress state. This phenomenon has not been widely examined. One of the few studies that examined the level of stress- state modification on copper determined that slip or plasticity in cyclically deformed copper occurred in areas with high elastic incompatibility stresses. The focus of the present study is the unstable growth of cavities as a result of high local triaxial stress. Grain boundaries in silver, aluminum, and zirconium are examined.