THE DYNAMIC EXPANSION OF A SPHERICAL CAVITY IN AN ELASTIC-PERFECTLY- PLASTIC MATERIAL

Abstract

It was shown that a finite-difference numerical technique can be used to solve mixed initial- and boundary-value problems involving high-speed elastic-plastic flow with spherical symmetry. Numerical solutions for the dynamic expansion of a spherical cavity under a constant pressure are presented to demonstrate the nature and capability of the numerical scheme. The solution for an elastic material agrees closely with the exact solution. The solution for an elastic-perfectly-plastic material confirmed Green's prediction concerning the motion of the elastic-plastic boundary. At large times, the asymptotic solution of the dynamic problem is different from the quasi-static solution. This result indicates that the quasi-static approximation may not hold in dynamic plasticity. A non-linear dependence of the plastic solution on the boundary condition is also observed in the results.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1967
Accession Number
AD0654369

Entities

People

  • Chi-hung Mok

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Computer Programs
  • Computers
  • Difference Equations
  • Differential Equations
  • Elastic Waves
  • Engineering
  • Equations
  • Flow
  • Internal Pressure
  • Materials
  • Mechanics
  • Military Research
  • Partial Differential Equations
  • Plastic Flow
  • Plastic Properties

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Combustion Dynamics and Shock Wave Physics.
  • Mechanical Engineering/Mechanics of Materials.