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Stress calculations on multiply connected domains

Författare

Summary, in English

The outstanding problem of finding a simple Muskhelishvili-type integral equation for stress problems on multiply connected domains is solved. Complex potentials are represented in a way which allows, for the incorporation of cracks and inclusions. Several numerical examples demonstrate the generality and extreme stablity of the approach. The stress field is resolved with a relative error of less than 10(-10) on a large, yet simple reproducible, setup with a loaded square plate containing 4090 holes and cracks, Comparison with previous results in the literature indicates that general-purpose finite-element software may perform better than many special-purpose codes. (C) 2002 Elsevier Science (USA).

Avdelning/ar

Publiceringsår

2002

Språk

Engelska

Sidor

456-482

Publikation/Tidskrift/Serie

Journal of Computational Physics

Volym

176

Issue

2

Dokumenttyp

Artikel i tidskrift

Förlag

Elsevier

Ämne

  • Mathematics

Nyckelord

  • method
  • Fredholm integral equation
  • fast multipole
  • cracks
  • multiply connected domains
  • holes
  • stress concentration factor
  • stress intensity factor

Status

Published

Forskningsgrupp

  • Harmonic Analysis and Applications
  • Harmonic Analysis and Applications

ISBN/ISSN/Övrigt

  • ISSN: 0021-9991