DISLOCATIONS, DISCLINATIONS, AND GRAIN-BOUNDARIES IN A FINITE SOLID

An earlier surface dislocation analysis applied to infinite grain boundaries is extended to grain boundaries and disclinations in a finite solid. The coalescence of the grain boundary surfaces is described by grain boundary surface dislocation arrays. The conservation of Burgers vectors is satisfied by the screening dislocation array. Equilibrium positions of the screening array are determined by minimizing the total energy of the configuration. A disclination is described as a grain boundary ending inside a crystal. The differences between the distortion around a disclination and a grain boundary in a finite body are elucidated. The surface dislocation analysis of an elastically bent crystal is given for the first time. A plastically bent crystal is described in terms of regions containing disclinations or grain boundaries surrounded by stress‐free surfaces. The stress‐free surfaces form a network and cannot end inside the crystal. Copyright © 1979 WILEY‐VCH Verlag GmbH & Co. KGaA