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Stress computations on perforated polygonal domains

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Author

Summary, in English

A high order accurate and fast algorithm is constructed for 2D stress problems on multiply connected finite domains. The algorithm is based on a Fredholm integral equation of the second kind with non-singular operators. The unknown quantity is the limit of an analytic function. On polygonal domains there is a trade-off between stability and rate of convergence. A moderate amount of precomputation in higher precision arithmetic increases the stability in difficult situations. Results for a loaded single edge notched specimen perforated with 1170 holes are presented. The general usefulness of integral equation methods is discussed. (C) 2003 Elsevier Science Ltd. All rights reserved.

Department/s

Publishing year

2003

Language

English

Pages

533-546

Publication/Series

Engineering Analysis with Boundary Elements

Volume

27

Issue

5

Document type

Journal article

Publisher

Elsevier

Topic

  • Mathematics

Keywords

  • stress concentration factor
  • factor
  • notch stress intensity
  • holes
  • multiply connected domain
  • V-notch
  • Fredholm integral equation
  • fast
  • multipole method

Status

Published

Research group

  • Harmonic Analysis and Applications
  • Harmonic Analysis and Applications

ISBN/ISSN/Other

  • ISSN: 1873-197X