THE EFFECT OF STRAIN-HARDENING ON THE DEFORMATION OF AN ANNULAR SLAB

Abstract

A procedure is outlined for obtaining the stresses and strains in a circular slab with a cutout which is subjected to uniform biaxial tension. An arbitrary stress-strain curve in tension is approximated by any number of straight line segments. For biaxial states of stress the material is assumed to satisfy a flow law based on the maximum shear stress, and to be incompressible throughout. The general equations are given and then simplified by assuming that boundary motions may be neglected if the strains are small, and that elastic strain components may be neglected if the strains are large. For the case of linear strain-hardening a complete solution is given in closed form. If the rate of strain-hardening is small, the results may be further simplified.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 30, 1953
Accession Number
AD0011461

Entities

People

  • P. G. Hodge Jr.

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boundaries
  • Computations
  • Elastic Materials
  • Equations
  • Hardening
  • Inequalities
  • Lepidoptera
  • Materials
  • Mathematics
  • Military Research
  • Modulus Of Elasticity
  • Particles
  • Strain Hardening
  • Strain Rate
  • Stress Strain Relations
  • Stresses

Fields of Study

  • Mathematics

Readers

  • Structural Dynamics.