
Accession Number : AD0608870
Title : LATESTAGE EQUIVALENCE AND SIMILARITY THEORY FOR ONEDIMENSIONAL IMPACTS,
Corporate Author : GENERAL DYNAMICS SAN DIEGO CALIF GENERAL ATOMIC DIV
Personal Author(s) : Dienes,John K.
Report Date : 10 NOV 1964
Pagination or Media Count : 32
Abstract : Slabs impacting on a semiinfinite target are shown to induce a onedimensional shockwave system which can be described analytically if the target has a perfectgas equation of state. The flow is of the similarity type at late times, and a hydrodynamic code example is used to demonstrate that flows which are not initially selfsimilar become so asymptotically. The exact solution for a perfectgas equation of state whose ratio of specific heats is 7/5 is discussed, and it is shown that the product of energy and momentum for the flow is constant and equal to the product for the impacting slab. Hence, all impacts with the same value of this product are equivalent at late times. The explanation of this result in terms of the free surface condition is shown. The solution for general specificheat ratios is obtained by relating it to other onedimensional analytical work. (Author)
Descriptors : (*IMPACT SHOCK, HYPERVELOCITY PROJECTILES), (*ONE DIMENSIONAL FLOW, SHOCK WAVES), NUMERICAL ANALYSIS, EQUATIONS OF STATE, EQUATIONS, MOTION, ENERGY, MOMENTUM, BOUNDARY VALUE PROBLEMS
Distribution Statement : APPROVED FOR PUBLIC RELEASE