INTERACTION OF PLANE ELASTIC WAVES WITH A CYLINDRICAL CAVITY

Abstract

A method is presented for computing stresses in the vicinity of a long cylindrical cavity in an infinite, elastic, isotropic, homogeneous medium when the cavity is enveloped by a plane stress wave traveling in a direction perpendicular to its axis. Hoop stresses around the cavity bound ary were computed for the passage of a wave of dilation and a wave of pure shear; the stresses in the medium away from the boundary were com puted for a wave of dilation. Initially the stress behind the incident wave front was con sidered to be constant. The effect of a stress decay behind the front was then computed by using the Duhamel integral for the case of an incident wave of dilation. The method of solution of the problem involves superposition of the stress field of an incoming plane step wave and a stress field corresponding to waves which diverge from a line source.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1963
Accession Number
AD0415362

Entities

People

  • Arthur R. Robinson
  • Stanley L. Paul

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Air Platforms
  • Counter WMD
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Civil Engineering
  • Computational Science
  • Differential Equations
  • Digital Computers
  • Elastic Waves
  • Engineering
  • Explosions
  • Explosives
  • Failure Mode And Effect Analysis
  • Mechanics
  • Plastic Explosives
  • Secondary Waves
  • Shear Stresses
  • Stress Waves
  • Time Intervals
  • Wave Equations

Fields of Study

  • Mathematics
  • Physics

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mechanical Engineering/Mechanics of Materials.