A Stress Function Formulation and Approximate Solution of the Unsymmetric Deformation Problem for Cracks in Non-Uniform Materials,

Abstract

Relative stress and strain distributions are presented for the near-tip deformation field corresponding to a homogeneous cracked plate with spatially variable mechanical properties. Using a nonlinear (strain-hardening) stress-strain relationship and deformation plasticity, a first approximation asymptotic stress function solution was determined which shows that unsymmetric deformation fields develop in homogeneous materials with non-uniform properties. The amplitude of the stress singularity at the tip is also found to be dependent upon the non-uniformity. Experimental verification is presented showing extreme unsymmetry for an SEN specimen with a one-dimensional off-angle yield strength gradient. The engineering significance of the effect is discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1973
Accession Number
AD0771128

Entities

People

  • Kenneth L. Reifsnider
  • Prasad Nair

Organizations

  • Virginia Tech

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Engineering
  • Hardening
  • Hardness
  • Materials
  • Mechanical Properties
  • Physical Properties
  • Plastic Properties
  • Strain Hardening
  • Stress Strain Relations
  • Stresses
  • Verification
  • Yield Strength

Readers

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