Mechanical Interactions of Point Defects

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Abstract
The interaction of point defects, which are described by force multipoles, is treated using elasticity theory. Explicit expressions for the interaction energy are derived for elastically isotropic materials. For defects with cubic symmetry in f.c.c. metals, the lattice theory values derived for a special isotropic model (v = ∞) by Hardy and Bullough are 25% higher than the elastic theory values, both showing, however, the same orientation dependence and the same decrease with r−5. By finding not only the first (elastic) but also the second term of an asymptotic expansion of the lattice Green's function, the 25% difference is shown to be a true lattice theory effect.

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