Structural Inelasticity XXIII. A Piecewise Linear Theory of Plasticity for an Initially Isotropic Material in Plane Stress.

Abstract

A 20-faced polyhedron is chosen as a reasonable piecewise linear approximation to either the Mises or Tresca yield criterion. Strain hardening and motion of the faces during hardening are assumed to be linear functions. Subject to the above assumptions, to initial isotropy, and to some reasonable symmetry requirements it is shown that the most general possible theory contains 11 material constants. Some simple experiments with a thin-walled tube are suggested for determining these constants. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1978
Accession Number
ADA073008

Entities

People

  • Philip G. Hodge Jr.

Organizations

  • University of Minnesota

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Hardening
  • Materials
  • Plastic Properties
  • Strain Hardening

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Mechanical Engineering/Mechanics of Materials.