Abstract
AbstractA weakly nonlocal version of the nonlocal continuum theory is used to calculate the interaction energy between a pair of identical defects in a face‐centred cubic lattice when the defect spacing is large. The lattice is assumed to be the same that was considered by Hardy and Bullough, namely, an idealized harmonic f.c.c. lattice held together by nearest‐neighbour forces which are such that the crystal is elastically isotropic in the long‐wavelength limit. An analytic expression is obtained for the interaction energy which is orientation dependent and varies as the inverse fifth power of defect separation. This expression for the interaction energy is in complete agreement with the result of Hardy and Bullough which they obtained by using Kanzaki's method of lattice statics. In this way it is demonstrated that the nonlocal continuum theory can reproduce the results of the lattice theory.
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