A Numerical Approach to Elastic-Plastic Plane-Strain Problems of Thick- Walled Cylinders

Abstract

A new finite-difference approach has been developed for solving the elastic-plastic plane-strain problems of thick-walled cylinders subjected to internal or external pressure. The material is assumed to obey the von Mises' yield criterion, the Prandtl-Reuss flow theory and the isotropic hardening rule. The numerical scheme is stable for ideally-plastic as well as straining- hardening materials. The approach is simpler than others, and very accurate solutions can be obtained by reducing the grid sizes and load increments. The results for the stresses and strains in all principal directions have been computed as functions of loading history.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1979
Accession Number
ADA078365

Entities

People

  • P. C. Chen

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Applied Mechanics
  • Computer Programs
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Hardening
  • High Pressure
  • Internal Pressure
  • Literature Surveys
  • Materials
  • Mechanics
  • Strain Hardening
  • Stress Strain Relations
  • Stresses
  • Weapon Systems
  • Weapons

Fields of Study

  • Engineering

Readers

  • Mechanical Engineering/Mechanics of Materials.
  • Structural Dynamics.