A procedure for calculating the pressure, densities, internal energies and particle velocities behind a plane shock in an infinite composite consisting of alternate layers of two materials or of parallel fibers imbedded in a matrix is presented. The direction of shock propagation is assumed to be parallel to the layers or fibers. Cal culated values of the shock parameters are given for a hypothetical aluminum polymethylmethacrylate composite. Shock speeds in the composite which are lower than the sonic velocity of one of the constituents are found to be possible.
Get full access to this article
View all access options for this article.
References
1.
F.K. Tsou and P.C. Chou, "Analytical Study of Hugoniot in Unidirectional Fiber Reinforced Composites,"Journal of Composite Materials, Vol. 3 (1969), pp. 500-514.
2.
Y.B. Zeldovich and Y.P. Raizer, Physics of Shock Waves and High Temperature Hydrodynamic Phenomena , Academic Press, 1967, pp. 45-49.
3.
Ibid., pp. 688-711
4.
L. Thomsen and O. Anderson, "On the High-Temperature Equation of State of Solids,"Journal of Geophysical Research, Vol. 74, No. 4 (1969), pp. 981-991.
5.
J.C. Skidmore , "An Introduction to Shock Waves in Solids,"Applied Materials Research, Vol. 4, No. 3, July 1965, pp. 131-147.
6.
Walsh, Rice, McQueen and Yarger, "Shock-Wave Compressions of Twenty-Seven Metals. Equations of State of Metals,"Physical Review, Vol. 108, No. 2 (1957), pp. 196-216.
7.
M. Van Thiel, "Compendium of Shock Wave Data," UCRL-50108 Vol. 1, Lawrence Radiation Laboratory, University of California, June, 1966.
8.
Brian J. Kohn, Compilation of Hugoniot Equations of State, AFWL-TR-69-38, Air Force Weapons Laboratory, Kirtland AFB, N.M., (1969).