An Analysis on the Stability of the Mie-Gruneisen Equation of State for Describing the Behavior of Shock-Loaded Materials

Abstract

A review of fundamental shock-transition theory is presented. The equation of state (EOS) is introduced as an analytical vehicle to express material pressure as a function of density and temperature (or internal energy in the case of adiabatic transition). Starting from the fundamental laws of thermodynamics, three criteria are developed to measure the stability of equations of state and are applied specifically to the Mie-Gruneisen EOS, with Hugoniot reference, to investigate the stability characteristics thereof. This EOS is singled out for study because of its relative importance in the computational modeling of shock transition. Results indicate numerous possibilities of instability under various circumstances. Various remedies are proposed to correct the observed instabilities and compared with existing models.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1991
Accession Number
ADA233827

Entities

People

  • Steven B. Segletes

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Bulk Modulus
  • Coefficients
  • Compressive Properties
  • Computer Programs
  • Crystal Lattices
  • Energy
  • Engineering
  • Equations
  • Equations Of State
  • Experimental Data
  • Heat Energy
  • Materials
  • Specific Volume
  • Thermodynamic Processes
  • Thermodynamics
  • Three Dimensional

Fields of Study

  • Physics

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Theoretical Analysis.