Probability Formulas for Describing Fragment Size Distributions

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Abstract
Mott's distribution has long been used to describe fragment populations which result from the detonation of shells filled with high explosive. This distribution is a special case of more general probability distributions in widespread use for far different applications. Still it can be given a rational basis by means of a derivation which employs appropriate ideas about randomly distributed defects in solids. Methods of grouping fragment populations are discussed and applications of a general probability distribution are made to a number of cases of natural fragmentation. In addition, an application is made to a case of partially controlled fragmentation, illustrating the versatility of this approach.

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