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Untitled - Sciencemadness Dot Org

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SHOCK INITIATION PROPERTIES<br />

Fig. 4.02.<br />

explosives-state locus given by the conservation-of-momentum relation for the ex-<br />

plosive, P = pOUpUs, where U, = shock velocity and p0 = initial density. The at-<br />

tenuator rarefaction locus is approximated by reflecting the attenuator Hugoniot<br />

line about a line where the attenuator particle velocity is a constant. Because initia-<br />

tion is not a steady state, the conservation-of-momentum relation does not hold<br />

precisely; however, near the sample and attenuator interface, the reaction is slight<br />

enough that the accuracy is sufficient. Values of the initial shock parameters, P,,<br />

UpO, and U,,, are given in the tables that follow.<br />

Figure 4.02 shows a typical smear camera wedge record. Characteristically, these<br />

traces show the initial shock, the point of transition to high-order detonation, and<br />

the high-order detonation. The space and time dimensions are shown. Although the<br />

shock and detonation velocities in the explosive can be determined from these<br />

records, only the coordinates for the high-order detonation, x* and t*, are normally<br />

found. Historically, many analysis techniques have been used, including those used<br />

here for data analysis.<br />

THE TECHNIQUES<br />

Technique l.‘In Technique 1, the early average shock velocity is determined from<br />

the angle generated on the camera record by the shock-wave progress along the<br />

wedge surface, the optical magnification, the wedge angle, the viewing angle, and<br />

the camera writing speed. The distance over which this measurement is made is<br />

kept as short as is practical. The distance and time of transition to high-order<br />

detonation are determined from the film measurements, knowledge of the viewing<br />

angle, etc. In all the techniques described here, it is assumed that the shock wave is<br />

plane and parallel to the wedge-and-attenuator interface. The initial shock and<br />

particle velocity vs pressure in the wedge are obtained from a graphical solution in-<br />

volving the wedge density, early average shock velocity, and pressure in the last at-<br />

tenuator plate.<br />

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