Gruneisen Parameter Study

Abstract : The problem of characterizing shock wave properties in solid materials necessitates a knowledge of the solid equation of states at high pressures. One common technique to obtain an equation of state at high pressure is to calibrate an assumed equation of state, i.e., the Mie-Gruneisen equation of state, in terms of a shock Hugoniot. The task objective for the present study was to contribute to better understanding of the Gruneisen parameter; its theoretical basis, experimental determination, and usage in present hydrodynamic response code. The tasks are covered in this report in the following manner. Fundamental thermodynamic and physical definitions are covered in Section 1. The theoretical bases of equations of state and the Mie-Gruneisen Equation of State are discussed in Sections 2 and 3. The experimental techniques of determining the various Gruneisen parameters for solid materials are reviewed in Section 4, and actual calculations of the various Gruneisen parameters for the materials of the study are presented in Section 5. The thermodynamics of foamed and distended materials are considered in Section 6.