Strong Plane Shock Produced by Hypervelocity Impact and Late-Stage Equivalence

Abstract
The attenuation of a strong plane shock produced in aluminum by the impact of a thin striker has been studied using the method of characteristics and a realistic equation of state. An approximate analytical solution, which is based on the assumption that the characteristics are straight lines along which the sum of the sound speed and particle velocity is a constant, is shown to be in good agreement with results obtained from the method of characteristics. For pressures up to 750 kbar, the analytical solution yields results that are in good agreement with experimental observations obtained using annealed 1100F aluminum. The theoretical calculations and experimental data show that plane shocks produced by impacts involving aluminum are equivalent at late times provided that u0αd is constant where d is the thickness of the striker, u0 the impact velocity, and α a constant in the neighborhood of 1.3.

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