On the description of crystal defects by pointhyphen;force arrays

摘要

A modification to the continuum theory of crystal defects is described in which the interatomic reaction forces developed when a defect is introduced are replaced by point forces in a continuum. The locations of the forces are determined by the atomic positions surrounding the defect, and the magnitudes by the requirement that the force array produce the proper displacement field for the defect. The technique is applied to the construction of primitive prismatic and shear dislocation loops in a hypothetical isotropic simple cubic lattice. A screw dislocation is formed from an array of shear loops, and the displacement field, width, and selfhyphen;energy are calculated. Applications of the model to other dislocation configurations are suggested.