DEVIATORIC EFFECTS IN HIGH INTENSITY STRESS WAVES.

Abstract

The governing equations for dynamic cavity expansion are developed for continua which can be characterized as compressible elasto-plastic, and kinematic hardened. A numerical procedure for integrating these governing equations, utilizing shock-fitting as opposed to artificial viscosity for numerical stability, is outlined. The shockfitting, as well as the starting procedure, is based on a progressive wave solution of an adjunct problem which is asymptotic to the formulated problem. Continua theory of dynamic cavity expansion, as formulated here, indicates that the hydrostatic component of the stress state decreases much more rapidly than a decreasing cavity pressure as long as the cavity is expanding. The capability of a continuum to transmit radial compressive force is due to a rapidly increasing deviatoric stress. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1965
Accession Number
AD0620334

Entities

People

  • E. L. Mcdowell

Organizations

  • IIT Research Institute

Tags

DTIC Thesaurus Topics

  • Equations
  • Intensity
  • Mechanical Properties
  • Physical Properties
  • Stress Waves
  • Stresses
  • Waves

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mechanical Engineering/Mechanics of Materials.