Secondary slip and internal stresses in single crystals

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Abstract
The density of secondary dislocations (other than ‘dipoles’) cannot increase by more than an order of magnitude during ‘single slip’. This is shown by a theoretical analysis of the minimum strain that should be caused by a large-scale generation of secondary dislocations, and of the stresses necessary for it; neither of these is in accord with recent macroscopic measurements. It is also shown that even if a sufficiently large number of dislocations were generated on secondary slip systems, internal stresses associated with primary dislocations in f.c.c. materials could not be effectively relieved by secondary slip other than cross-slip and possibly slip on both co-planar systems. Internal stresses of significant magnitude must therefore exist in deformed single crystals and must be mostly due to primary dislocations.