METALLIC EQUATIONS OF STATE FOR HYPERVELOCITY IMPACT

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Jul 18, 1962
Accession Number
AD0486711

Entities

People

  • J. H. Tillotson

Organizations

  • General Dynamics

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boiling Point
  • Crystal Lattices
  • Elements
  • Energy
  • Equations
  • Equations Of State
  • Heat Energy
  • High Pressure
  • Hypervelocity Impact
  • Low Temperature
  • Materials
  • Measurement
  • Metals
  • Shock Waves
  • Specific Volume
  • Thermodynamics

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Combustion Dynamics and Shock Wave Physics.
  • Materials Science and Engineering.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Flight