Equation of State and Sound Velocities from Isotropic Continuum Mechanics.

Abstract

The methods of finite elasticity in continuum mechanics of homogeneous isotropic materials are used to obtain the pressure dependence of the equation of state and the shear and longitudinal velocity to fifth order elastic constants. The resulting expressions are implicit in terms of the pressure and explicit in resulting expressions are implicit in terms of the pressure and explicit in terms of the strain. The use of a symbolic program allows the elimination of the strain parameter. Even though the expressions are extremely lengthy, approximations for each order of elastic constants can be easily obtained using Taylor's expansion to any degree desired.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1986
Accession Number
ADA174452

Entities

People

  • J. I. Frankel
  • M. A. Hussain

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Chlorides
  • Continuum Mechanics
  • Elastic Properties
  • High Pressure
  • Materials
  • Measurement
  • Mechanical Properties
  • Mechanics
  • Military Research
  • New York
  • Physical Properties
  • Security
  • Sodium
  • Sodium Compounds
  • X Rays

Fields of Study

  • Mathematics

Readers

  • Structural Dynamics.
  • Theoretical Analysis.