Equation of State of Solids

Abstract

An attempt was made to derive the degeneracy factor of Eyring's Significant Structure Theory for a particular model of a solid with vacant lattice sites. A form was obtained which differs from that obtained by Eyring and which gives results less satisfactory than Eyring's factor when compared with Hugoniot data. Some equilibrium Hugoniot states are calculated for a mixture of two materials and the formulae are applied to combinations of quartz- like and polyethylene-like materials. Some elastic calculations are made for various composite configurations. It is noted that conditions of uniaxial strain are violated, and that the relations between mean pressure and volume are sensitive to the boundary condition on the face of the composite. Conventional methods for reducing ultrasonic velocity data taken at high pressures require a priori knowledge of the compressibility as a function of pressure if elastic constants are to be calculated. An iterative procedure is outlined which makes it possible to determine the elastic constants provided only that ambient pressure values of thermal expansion coefficient, its temperature derivative, and specific heat at constant pressure are known.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1971
Accession Number
AD0719307

Entities

People

  • C. T. Tung
  • D. P. Dandekar
  • G. E. Duvall
  • S. M. Taylor Jr.

Organizations

  • Washington State University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Bulk Modulus
  • Composite Materials
  • Crystal Structure
  • Elastic Properties
  • Elastic Waves
  • Engineering
  • Gruneisen Parameter
  • Heat Energy
  • High Pressure
  • Measurement
  • Mechanics
  • Munitions
  • New York
  • Sound Waves
  • Standing Waves
  • Wave Propagation

Readers

  • Fluid Dynamics.
  • Materials Science and Engineering.