A Simple Approach for Determination of Bursting Pressure of a Thick-Walled Cylinder,

Abstract

By using the true-stress true-strain relation, a simple finite-strain incompressible analytical solution technique is developed to predict pressure deformation relations up to the failure of thick-walled cylinders subjected to internal pressure. The material is assumed to be an isotropic hardening material that obeys the von Mises yield condition. The flow law for the material incorporates the Prandtl-Reuss stress-strain relations and a loading function represented by the true-stress versus true-strain diagram. Poisson's ratio is assumed to be equal to one-half for both elastic and plastic strains. The bursting pressure for thick-walled cylinders made of either SAE 1045 steel or copper is presented graphically for various ratios of outer and inner radii of undeformed cylinders. The true location of inner surface of cylinders made of both metals at various pressure levels was determined and presented graphically. Pressure expansion curves for cylinders made of SAE 1045 steel and OFHC copper are presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1984
Accession Number
ADP002956

Entities

People

  • S. C. Chu

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Hardening
  • Internal Pressure
  • Materials
  • Mathematics
  • Stress Strain Relations
  • Stresses

Fields of Study

  • Engineering

Readers

  • Mechanical Engineering/Mechanics of Materials.