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Integral equation methods and numerical solutions of crack and inclusion problems in planar elastostatics

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Author

Summary, in English

We present algorithms for crack and inclusion problems in planar linear elastostatics. The algorithms are based on new integral equations. For the pure crack problem the integral equations are of Fredholm's second kind. Our algorithms show great stability and allow for solutions to problems more complex than have previously been possible. Our results are orders of magnitudes more accurate than those of previous investigators, which rely on integral equations of Fredholm's first kind.

Department/s

  • Harmonic Analysis and Applications

Publishing year

1999

Language

English

Pages

965-982

Publication/Series

SIAM Journal on Applied Mathematics

Volume

59

Issue

3

Document type

Journal article

Publisher

Society for Industrial and Applied Mathematics

Topic

  • Mathematics

Keywords

  • effective elastic properties
  • integral equation of Fredholm type
  • linear elasticity
  • cracks
  • composite material
  • stress intensity factors
  • numerical methods

Status

Published

Research group

  • Harmonic Analysis and Applications

ISBN/ISSN/Other

  • ISSN: 0036-1399