The anisotropic elastic energy of a rhombus-shaped dislocation loop

Abstract
A recent solution (Willis 1970) for the distortion field produced by a finite straight dislocation segment in an arbitrary anisotropic body is used to derive an expression for the anisotropic elastic energy of a rhombus-shaped dislocation loop. This solution is used to study the energy variation of a rhombus loop constrained to glide on a {111} prism in aluminium and copper; the results are compared with the appropriate experimental observations on rhombus-shaped vacancy loops in quenched aluminium and also with a previous theoretical calculation which relied upon the validity of the isotropic model. The anisotropic energy variations are quite different in form from corresponding isotropic variations and thus serve to emphasize the danger in assuming the validity of the isotropic approximation when calculating the elastic energy of complex defect configurations of this kind.

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