ON THE DESCRIPTION OF CRYSTAL DEFECTS BY POINT FORCE ARRAYS.
FLORIDA UNIV GAINESVILLE DEPT OF ENGINEERING SCIENCE AND MECHANICS
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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 location of the forces is 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 and a vacancy in a hypothetical isotropic, simple cubic lattice. A screw dislocation is formed from an array of shear loops and the displacement field, width and self-energy is calculated. The construction employed eliminates the singular behavior of the self-energy at the dislocation core and results in a wider dislocation than the Peierls model. Applications of the model to other dislocation configurations are suggested. Author