NUMERICAL TREATMENT OF AN INTEGRAL EQUATION ARISING IN A MIXED-BOUNDARY ELASTICITY PROBLEM,

Abstract

The non-singular Fredholm integral equation is solved numerically. The equation has been derived by Sneddon and Collins in the analytical treatment of the stress field in a long cylinder containing a penny-shaped crack being opened by an arbitrary axially symmetric pressure. In the discussion of the numerical treatment, emphasis is on techniques which allow the treatment of additional cases, without excessive recomputation. Results are given for constant, parabolic, and step pressures across the crack, with variations in crack width and Poisson's ratio. The shape of the crack is also obtained in many cases. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 28, 1964
Accession Number
AD0437920

Entities

People

  • John T. Welch Jr.

Organizations

  • North Carolina State University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Elastic Properties
  • Equations
  • Integral Equations
  • Integrals
  • Mathematics

Fields of Study

  • Mathematics

Readers

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