Quantum mechanics

Phase (matter)

Applied mathematics

Equation of state

Computer science

Thermodynamics

Physics

Mathematics

Programming language

Volume (thermodynamics)

Constant (computer programming)

: The equation of state presented in this report has the same basic format for all metals and differs among the various metals only by choice of numerical constants. For compressed material, there are five constants used in the formulation, three of which are determined directly from material properties. The remaining two are then adjusted numerically by an IBM-7090 computer code to arrive at an optimum fit of the data. The code provides for computing as many as twenty materials or twenty variations of parameters during a single run. Two other constants are added for the expansion phase to ensure proper behavior of the equation. The mathematical expressions for the equation of state, with limits and constants obtained for each metal along with their graphic presentation, are given in Appendix B. For each metal, a Hugoniot curve with five isentropes and five isoenergy curves are calculated and listed in tables of pressure (P), normalized volume (V/VO), and specific internal energy (E), which are reproduced for reference.

METALLIC EQUATIONS OF STATE FOR HYPERVELOCITY IMPACT