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Late‐Stage Equivalence in One‐Dimensional Impacts

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2 Author(s)
Chou, Pei Chi ; Drexel Institute of Technology, Philadelphia, Pennsylvania ; Burns, Bruce P.

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The attenuation of a strong plane shock produced in a target by the impact of a thin striker is studied by the numerical method of characteristics. The calculated results show that late‐stage equivalence exists for impacts in aluminum, copper, and ideal gases with various ratios of specific heats, γ. The shock fronts produced by different impacts approach each other in position, and in strength, at late times provided that du0α is constant, where d is the thickness of the striker, u0 the impact velocity, and α a constant with values of 1.28, 1.50, 1.62, 1.50, and 1.32, for aluminum, copper, and ideal gases with γ equal to 2.0, 1.4, and 1.1, respectively.

Published in:

Journal of Applied Physics  (Volume:38 ,  Issue: 2 )