The Relevance of the De Broglie Relation to the Hugoniot Elastic Limit (HEL) of Shock Loaded Solid Materials

Abstract

Under moderate shock loading (a few kilobars) where Elastic-Plastic Shock Phenomena (EPSP) occur in solid materials, two stress waves are created. The first one is essentially an elastic wave and has become known as the Hugoniot Elastic Limit (HEL). The HEL particle velocity, Up HEL, can be closely related to the De Broglie particle momentum wave velocity, V1=h/(2md1), where, h is Planck's constant, m is the mass of an atom, and d1 is the closest distance between atoms in the structure. Classic EPSP test data for iron, aluminum alloys (2024, 6061), and pressed TNT are compared to computed values of V1 and 2V1. Qualitative remarks with respect to particle stability are made which are based primarily on Fitzgerald's analysis(17), chapter 3.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1990
Accession Number
ADA225786

Entities

People

  • James M. Oliver
  • James P. Billingsley

Organizations

  • United States Army Aviation and Missile Command

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Aluminum Alloys
  • Classification
  • Crystal Lattices
  • Elastic Waves
  • Engineering
  • Equations
  • Experimental Data
  • Materials
  • Mathematics
  • Momentum
  • Physics
  • Security
  • Steady State
  • Stress Waves
  • Thickness
  • Waves

Readers

  • Calculus or Mathematical Analysis
  • Combustion Dynamics and Shock Wave Physics.
  • Structural Dynamics.