Asymptotic Fields of a Perfectly-Plastic, Plane-Stress Mode II Growing Crack.

Abstract

The asymptotic near-tip stress and velocity fields are presented for a plane-stress mode II crack propagating quasi-statically in an elastic-perfectly plastic Mises solid. The solution is found to have fully continuous stress and velocity fields, and a configuration similar to that of the anti-plane strain problem: a singular centered fan plastic sector ahead of the crack, followed by an elastic unloading sector and a constant stress plastic sector extending to the crack flank. The impossibility of a plane-stress mode I crack solution having these properties is also discussed. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1985
Accession Number
ADA161006

Entities

People

  • P. P. Castaneda

Organizations

  • Harvard University

Tags

DTIC Thesaurus Topics

  • Assembly
  • Asymptotic Series
  • Boundaries
  • Cartesian Coordinates
  • Continuity
  • Coordinate Systems
  • Crack Tips
  • Cracks
  • Discontinuities
  • Elastic Properties
  • Equations
  • Materials
  • Modulus Of Elasticity
  • Plastic Flow
  • Strain Rate
  • Stratified Fluids

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mechanical Engineering/Mechanics of Materials.
  • Structural Health Monitoring of Composite Structures.