Stress Intensity Factors for Cracks at Loaded Holes

Abstract

A method is described for obtaining the opening-mode and sliding-mode stress intensity factors for the tip of a crack at the edge of a circular hole with arbitrary loads on its perimeter. The method involves the solutions of a singular integral equation which arises from expressing the equations of elasticity in terms of Mellin transforms. In developing the method, four particular load distributions are considered: a uniform tensile stress remote from the hole; a point load on the perimeter of the hole; uniform pressure on an arc of the perimeter; a cosine distribution of pressure on the perimeter. It is shown that the stress intensity factor for a short crack is strongly dependent on the distribution of load around the hole; this has important implications for the estimation of fatigue lifetimes. A procedure is indicated for using some of the results to study arbitrary loads on the hole perimeter.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1981
Accession Number
ADA111254

Entities

People

  • D. P. Rooke
  • J. Tweed

Organizations

  • Royal Aircraft Establishment

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Elastic Properties
  • Equations
  • Fracture (Mechanics)
  • Integral Equations
  • Integrals
  • Kernel Functions
  • Load Distribution
  • Mechanics
  • Modulus Of Elasticity
  • Plastic Explosives
  • Pressure Distribution
  • Principle Of Superposition
  • Residual Stress
  • Simultaneous Equations
  • Stress Intensity Factors
  • Stresses
  • Tensile Stress

Readers

  • Approximation Theory.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Materials Science (Mechanical Engineering).