Complex variable boundary integral equations for perforated infinite planes

Johan Helsing, Anders Jonsson

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Abstract

A fast and stable numerical algorithm is presented for the elastostatic problem of a linearly elastic plane with holes, loaded at infinity. The holes are free of stress. The algorithm is based on an integral equation which is intended as an alternative to the classic Sherman–Lauricella equation. The new scheme is argued to be both simpler and more reliable than schemes based on the Sherman–Lauricella equation. Improvements include simpler geometrical description, simpler relationships between mathematical and physical quantities, simpler extension to problems involving also inclusions and cracks, and more stable numerical convergence.
Original languageEnglish
Pages (from-to)191-202
JournalEngineering Analysis with Boundary Elements
Volume25
Issue number3
DOIs
Publication statusPublished - 2001
Externally publishedYes

Bibliographical note

The information about affiliations in this record was updated in December 2015.
The record was previously connected to the following departments: Numerical Analysis (011015004)

Subject classification (UKÄ)

  • Mathematics

Free keywords

  • Linear elasticity
  • Holes
  • Integral equation of Fredholm type
  • Fast multipole method
  • Sherman–Lauricella equation
  • Effective elastic moduli
  • Stress concentration factor
  • Numerical methods
  • Stable algorithms

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