The mobility of dislocations in an internally stressed solid. II

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Abstract
An earlier paper investigated the mobility of a group of dislocations through an internally stressed solid by smearing all the propagating dislocations into a continuous distribution, the extent to which propagation of the leading dislocation is easier than that of an isolated dislocation being quantitatively demonstrated. The validity of the smearing technique is here examined, it being shown that the procedure underestimates the applied stress if, for example, the internal stress is generated by pre-existing dislocations, when its gradient may be steep. The applied stress is then more accurately estimated by allowing the leading mobile dislocation to remain discrete, those following being smeared into a continuous distribution. Some extensions of the analysis are briefly discussed.

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