An Adaptive Algorithm for Exact Solution of an Overstrained Tube

Abstract

An adaptive algorithm to generate an exact solution has been developed for the plane-strain problem of a thick-walled tube overstrained by internal or external pressure. The material obeys the von Mises' yield criterion, the Prandtl-Reuss flow theory and the isotropic hardening rule. The ideally-plastic material is treated as a special case. The formulation is based on the finite-difference method in conjunction with a scaled incremental-loading approach. One additional grid point will become yielded in each load step. The grid sizes and load increments are determined in the program. For a given percentage of overstrain and a desired solution necessary, the stresses and strains can be obtained in an efficient way.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1980
Accession Number
ADA091794

Entities

People

  • P. C. Chen

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Displacement
  • Equations
  • Finite Element Analysis
  • Hardening
  • Internal Pressure
  • Mechanical Properties
  • Mechanics
  • Military Research
  • Modulus Of Elasticity
  • Numerical Analysis
  • Plastic Properties
  • Residual Stress
  • Strain Hardening
  • Stress Strain Relations
  • Stresses

Fields of Study

  • Engineering

Readers

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