Singular Stress Fields at the Intersection of a Grain Boundary and a Stress-Free Edge in a Columnar Polycrystal

摘要

The singular stress field generated at the intersection of a grainnboundary and a stress-free edge is investigated for a columnarnpolycrystal. An idealized, plane strain geometry that embeds fourncolumnar cubic crystals within an effective isotropic media is ana-nlyzed. This idealized problem permits a detailed finite elementnanalysis that can resolve the nature of stress singularities. Par-nticular emphasis is placed on characterizing the magnitude of thenstress fields and defining the size of the region dominated by thensingularity. The effects of crystal and grain boundary orientationncombinations and crystal properties are examined.