ELASTIC-PLASTIC PLANE-STRAIN SOLUTIONS WITH SEPARABLE STRESS FIELDS.

Abstract

It is shown that elastic-plastic plane-strain solutions in the infinitesimal (flow) theory of plasticity satisfying Tresca's yield criterion and associated flow rule with linear isotropic hardening, based on either equivalent plastic strain or total plastic work, can occur with separable stress field only in the following instances: solutions with uniaxial stress fields, as in bending, solutions with stress fields such that the entire domain changes from elastic to plastic at the same time, and solutions with stress fields for which the elastic-plastic boundary coincides with a principal shear stress trajectory. Whether or not a plasticity solution has a separable stress field can be determined a priorily by examining the corresponding elasticity solution. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1969
Accession Number
AD0683709

Entities

People

  • David B. Bogy

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Elastic Properties
  • Hardening
  • Mechanical Properties
  • Modulus Of Elasticity
  • Physical Properties
  • Plastic Properties
  • Shear Stresses
  • Stresses

Fields of Study

  • Mathematics

Readers

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