Asymptotic Fields in Steady Crack Growth with Linear Strain-Hardening,

Abstract

The asymptotic stress and velocity fields of a crack propagating steadily and quasi-statically into an elastic-plastic material are presented. The material is characterised by J sub 2 flow theory with linear strain-hardening. The possibility of reloading on the crack flanks is taken into account. The cases of anti-plane (mode III), plane strain (modes I and II), and plane stress (modes I and II) are considered. Numerical results are given for the strength of the singularity and for the distribution of the stress and velocity fields in the plastic loading, elastic unloading and plastic reloading regions, as functions of the strain-hardening parameter. An attempt is made to make a connection with the perfectly-plastic solutions in the limit of vanishing strain-hardening. Keywords: ordinary differential equations; fracture mechanics; deformation; numerical integration. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1985
Accession Number
ADA160921

Entities

People

  • P. P. Castaneda

Organizations

  • Harvard University

Tags

DTIC Thesaurus Topics

  • Constitutive Equations
  • Continuity
  • Coordinate Systems
  • Crack Tips
  • Differential Equations
  • Eigenvalues
  • Equations
  • Fracture (Mechanics)
  • Hardening
  • Materials
  • Mechanics
  • Numerical Integration
  • Plastic Properties
  • Strain Hardening
  • Stratified Fluids
  • Stress Strain Relations
  • Stresses

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Mechanical Engineering/Mechanics of Materials.