A theory based on flow across a selected control volume is devel oped to predict the Hugoniot of a shock moving along the longitudinal direction of a unidirectional fiber reinforced composite. From this theory the Hugoniot of a composite may be calculated from the equa tions of state of its constituents. The shear force along the matrix-fiber interface can also be computed. A sample calculation using polyethyl ene as matrix and beryllium as fiber has been made. The calculated shock Hugoniot are not far from linear.
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References
1.
M. van Thiel, "Compendium of Shock Wave Data," UCRL-50108 (Vol. 1,2), Lawrence Radiation Laboratory, University of California (June 1966).
2.
J.S. Reinhart, "Compilation of Dynamic Equation of State Data for Solids and Liquids," U.S. Naval Ordnance Test Station, TN3798 (1965).
3.
W. Paul and D.M. Warschauer, Solids Under Pressure, Chapter 13, McGraw-Hill (1963).
4.
G.P. Crotwell, Jr., "Hugoniot Data on Several Materials," AFWL, TR82 (1968 ).
5.
D.V. Keller, "Shock Propagation in Solids and Foams and Studies of non-Hydrodynamic Attenuation," U.S. Army Material Command, Nike-X Project, Rept. ARD-31R ( 1966).
6.
M.H. Rice, R.G. McQueen, and J.M. Walsh, "Compression of Solids by Strong Shock Waves,"Solid State Physics, Advances in Research and Applications , Vol. 6, edited by S. Frederick and D. Turnbull, Academic Press (1958).
7.
P.C. Chou, H.S. Sidhu, and L.J. Zajac, "The Strong Plane Shock Produced by Hypervelocity Impact and Late-Stage Equivalence,"Drexel Institute of Technology, Rept. No. 125-6 (November 1964).
8.
M.W. Zemansky, Heat and Thermodynamics, McGraw-Hill ( 1957).
9.
A.H. Shapiro , The Dynamics and Thermodynamics of Compressible Fluid Flow, Ronald (1954).
10.
Communication with Ballistics Research Laboratory, Aberdeen, Maryland.
11.
J.H. Tillotson , "Metallic Equations of State for Hypervelocity Impact,"General Atomic, GA-3216 (July 1962 ), (AD 486711).
12.
R.G. Stanton , Numerical Methods for Science and Engineering, Prentice-Hall (1961 ).
13.
Handbook of Chemistry and Physics, 36th Edition, Chemical Rubber Publishing Co. ( 1954-55), p. 1463.
