EXPONENTIALLY DECAYING PRESSURE PULSE MOVING WITH SUPERSEISMIC VELOCITY ON THE SURFACE OF A HALF SPACE OF GRANULAR MATERIAL

Abstract

An approximate solution is given for the effect of an exponentially decaying pressure pulse traveling with superseismic velocity on the surface of a half space. The material of the half space is an elastic-plastic model of a material having internal Coulomb friction. The yield condition selected may be suitable for a granular material. The effect of a step wave for this geometry and medium was treated previously. For that case, the peak pressures do not decrease with increase in depth, while such a decrease is obtained for a decaying surface load. It was the prime purpose of this investigation to determine the magnitude of this attenuation. The approximate solutions obtained are valid for a limited distance behind the wave front, and are tabulated for 11 different sets of parameters pertaining to the material and velocity. The tabulated results show that the peak pressures in the case of the decaying surface load do decrease with depth, but that the decrease is less than one might intuitively expect.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1967
Accession Number
AD0818424

Entities

People

  • Alva Matthews
  • Hans H. Bleich

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Computational Science
  • Contracts
  • Differential Equations
  • Engineering
  • Equations
  • Friction
  • Government (Foreign)
  • Granular Materials
  • Internal Friction
  • Materials
  • Military Research
  • Molecular Dynamics
  • Strain Rate
  • Wave Equations
  • Waves

Fields of Study

  • Physics

Readers

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

Technology Areas

  • Space
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