Stored energy and recovery of deformed F.C.C. metals

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Abstract
The stored energies of dislocation arrangements are calculated, in particular for the dislocation model on which the long-range stress theory of stage II of the work-hardening curve of f.c.c. metals is based. The theory predicts that about 7% of the work done during the plastic deformation is stored in the form of elastic energy of dislocations in good agreement with the experimental data including the recent ones by Bailey and Hirsch. Only slightly more than half of the stored energy comes from the interaction of the stress fields of neighbouring dislocations of the same sign; the rest is the sum of the elastic energies of individual dislocations. An improved computational technique is employed, which does not require a knowledge of the stress field of the dislocation. The same technique is also applicable to calculations of the effect of dislocations on the macroscopic density and the differential ferromagnetic susceptibility. The relationship between the latter quantity and the stored energy is discussed. It is shown that these two quantities are in some respects closely related. For the purpose of studying the arrangement of dislocations (rather than their numbers) the differential susceptibility in the saturation range is the much more efficient technique, however. An application of this is made to the work of H. Rieger on the recovery of cold-worked nickel single crystals. It is possible to separate the range in annealing temperatures where the rearrangement of dislocations dominates from the temperature interval where annihilation of dislocations sets in.

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