ELASTIC WAVE DECAY II,

Abstract

A time dependent non-linear formulation of shock propagation in an originally isotropic medium is presented. It is postulated that such a formulation accounts for the known non-linearity of the dissipative mechanisms which result in the decay of elastic waves in crystalline solids. By combining this non-linear theory with the appropriate conservation equations, characteristics and characteristic equations are derived which explicitly contain dispersion and decay in terms of unknown functions of the solid medium in question. By applying theory and experimental data available from ultrasonics the functions of importance to the linear region are found. The growth and decay of the amplitudes associated with the first non-linear contributions are traced by seeking solutions of a non-linear wave equation and applying appropriate boundary conditions.(Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1964
Accession Number
AD0428843

Entities

People

  • Paul Harris

Organizations

  • Naval Ordnance Laboratory

Tags

DTIC Thesaurus Topics

  • Acoustic Waves
  • Amplitude
  • Boundaries
  • Dispersions
  • Elastic Waves
  • Equations
  • Experimental Data
  • Linearity
  • Mechanical Waves
  • Ultrasonics
  • Wave Equations
  • Waves

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Dynamics.
  • Materials Science and Engineering.