Fields Near a Rapidly Propagating Crack Tip in an Elastic Perfectly-Plastic Material.

Abstract

Dynamic effects are investigated for the steady-state fields of stress and deformation in theee immediate vicinity of a rapidly propagating crack tip in an elastic perfectly-plastic material. Both the cases of anti-plane strain and in-plane strain have been considered. The governing equations in the plastic regions are hyperbolic in nature. Simple wave solutions together with uniform fields provide explicit asymptotic expressions for the stresses and the strains in the near-tip regions. The dynamic solutions describe a region of plastic loading which completely surrounds the propagating crack tip. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1980
Accession Number
ADA080591

Entities

People

  • Jan D. Achenbach
  • V. Dunayevsky

Organizations

  • Northwestern University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Coordinate Systems
  • Crack Tips
  • Cracks
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Fracture (Mechanics)
  • Mechanics
  • New York
  • Partial Differential Equations
  • Shear Modulus
  • Shear Stresses
  • Steady State
  • Strain Hardening
  • Strain Rate
  • Structural Mechanics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics
  • Structural Health Monitoring of Composite Structures.