EQUATIONS OF STATE IN SOLIDS
Technical summary rept. no. 1 (Volume 1), 9 Dec 1965-8 Dec 1966
WASHINGTON STATE UNIV PULLMAN SHOCK DYNAMICS LAB
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A procedure is described for developing simple approximate equations of state of liquids from Hugoniot P-V relations determined in shock wave measurements. This is applied to a number of liquids and a table of coefficients is given. The formalism of irreversible thermodynamics is applied to time-dependent phase transitions in iron and an approximate set of constitutive relations is obtained in a form suitable for numerical integration with the equations of continuum dynamics. These are applied in an approximate form to study the development of the two-wave structure in iron caused by the alpha-epsilon phase transition. Finite strain theory is applied to the analysis of shock wave data for quartz, and the results supply enough information to estimate some of the fourth-order elastic constants.