Application of Survival Statistics to the Impulsive Fragmentation of Ductile Rings
An analysis of fragmentation due to impulsive stress loading of solid materials is developed which results in analytic expressions for distributions in fragment sizes. The analysis is restricted to a linear (one-dimensional) distribution of material which is loaded uniformly in tension until fracture, and ultimately fragmentation, occurs. Concepts of survival statistics consistent with simple physical laws governing the fracture process are used to account for the spatial and temporal distribution in fracture nucleation sites. Analytic fragment distribution curves for ductile fracture are derived and found to provide a good representation of data obtained from impulsive fragmentation studies on aluminum rings.
KeywordsDuctile Fracture Statistical Concept Release Wave Dynamic Fragmentation Fragment Size Distribution
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