Analytical Solution of Elastic-Plastic Thick-Walled Cylinders with General Hardening

Abstract

This report presents an analytical solution for the elastic-plastic behavior of thick-walled cylinders under internal pressure. The general hardening law employed in this investigation is a piecewise linear representation of arbitrary stress-strain curves in uniaxial form. Closed-form analytical solutions are developed for the stresses, the elastic and plastic strains, and the displacements by using Tresca's yield criterion and its associated flow rule. Experimental data obtained from cylinders made of either SAE 1045 steel, OFHC copper, or aluminum alloy 1100 are used to determine the material constants. Numerical results for partially-plastic and fully-plastic cylinders are presented for the radial distributions of plastic hoop strain, radial, and tangential stresses.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1992
Accession Number
ADA249491

Entities

People

  • Peter C. Chen

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • Air Platforms
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Alloys
  • Aluminum
  • Aluminum Alloys
  • Applied Mathematics
  • Differential Equations
  • Displacement
  • Engineering
  • Equations
  • Hardening
  • Internal Pressure
  • Materials
  • Mathematics
  • Metals
  • Military Research
  • Security
  • Stress Strain Relations
  • Stresses

Fields of Study

  • Engineering

Readers

  • Mechanical Engineering/Mechanics of Materials.