EQUATIONS OF STATE IN SOLIDS
Technical summary rept. no. 2, 9 Dec 1966-8 Nov 1967
WASHINGTON STATE UNIV PULLMAN SHOCK DYNAMICS LAB
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An equation of state suitable for calculating the compression of a melting solid is described. Some elementary ideas about melting are reviewed and some standard relations between P and T in the melting region are described. The equation of state and melting law are combined in a program for calculating the Hugoniot through the mixed phase region. The Eyring theory for equation of state of liquids is examined for argon, and Hugoniot curves are calculated. The theory of plastic wave propagation in two-dimensions is discussed and calculations of allowed directions are described. Some of the basic physical mechanisms in solid-solid phase transitions are reviewed and the applicability of thermodynamics to such transitions is brought into question. An elementary model for a nonequilibrium transition in iron is suggested and p-v calculations are made for several values of the parameters. It is evident that no conclusions about the time dependence of the alpha-epsilon transition can be drawn from second state shock measurements, although it may be possible to infer useful information about metastable states.