EQUATIONS OF STATE IN SOLIDS

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1967
Accession Number
AD0669251

Entities

People

  • G. E. Duvall
  • G. R. Fowles
  • Y. Horie

Organizations

  • Washington State University

Tags

Communities of Interest

  • Air Platforms
  • Counter IED
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Acoustic Measurement
  • Difference Equations
  • Equations Of State
  • Explosives
  • Geometry
  • Heat Capacity
  • Heat Energy
  • Isotherms
  • Materials
  • Phase Transformations
  • Piezoelectric Crystals
  • Plastic Explosives
  • Pressure Measurement
  • Solid State Physics
  • Specific Heat
  • Thermodynamics
  • Wave Propagation

Fields of Study

  • Physics

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Materials Science and Engineering.