Investigation on Impact Sensitivity of Explosive with Fractal Geometry

The framing photographs of explosive samples under drop hammer test exhibit a fractal structure, in which the fractal dimension is related to the explosive's impact sensitivity. Based on the perimeter-area relation in fractal geometry and the linear recurrent analysis, fractal dimension calculations have been done for six kinds of explosive samples (e.g. TATB). We find that the fractal dimensions of the inert explosives are greater than that of the others. Besides, the sequential orders of the fractal dimension for the six kinds of explosives are in agreement with that of the drop hammer height. Therefore, we consider that it is possible and feasible to characterize the impact sensitivity of explosive with its fractal dimension.