Apex Singularities for Corner Cracks Under Opening, Sliding, and Tearing Modes.

Abstract

Power singularities at the apex of a flat, wedge-shaped, angular-sector crack in a three-dimensional solid are studied. Using Boussinesq stress functions of elasticity theory, the problem is reduced to an eigenvalue problem of a dual series. The stress singularity is found to be stronger or weaker than one half, depending upon whether the apex angle is greater or less than 180 degrees. This tends to accelerate or retard the crack growth at the apex until the crack front straightens out. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1979
Accession Number
ADA070200

Entities

People

  • B. Noble
  • M. A. Hussian
  • S. L. Pu

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Computations
  • Cracks
  • Differential Equations
  • Elastic Properties
  • Equations
  • Geometry
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • New York
  • North Carolina
  • Numbers
  • Potential Theory
  • Real Variables
  • Square Roots
  • Three Dimensional

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.
  • Materials Science (Mechanical Engineering).