Similitude criteria in models of the fracture of a solid body by an explosion
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The authors derive similitude criteria for the average fragment from crushing of solid bodies by explosives: (i) equality of numbers of crack initiation points in the prototype and model materials; (ii) geometrical similarity in the length of the cracks formed.
They also derive criteria for complete physical and geometrical similarity in the fragment-size composition: (i) equality of the numbers of crack initiation points per unti relative volume in the model and prototype; (ii) geometrical similarity in the length of the cracks formed.
From these criteria it follows that the problem of getting identical fragmentation in the model can be solved in two ways: (i) by choosing a model material with appropriate mechanical properties for given impulse parameters in the prototype and model, i.e., by choosing the appropriate strength properties and crack propagation speeds; (ii) by creating the appropriate stress impulse in the model for given impulse in the prototype and given mechanical properties of the prototype and model.
It is found that if these similarity criteria are satisfied, there will be similarity between the fragment size distributions.
KeywordsCrack Initiation Charge Center PETN Crack Initiation Site Geometrical Similarity
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