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A Galerkin boundary integral method for multiple circular elastic inclusions

Research output: Contribution to journal › Article › peer-review

Abstract

The problem of an infinite, isotropic elastic plane containing an arbitrary number of circular elastic inclusions is considered. The analysis procedure is based on the use of a complex singular integral equation. The unknown tractions at each circular boundary are approximated by a truncated complex Fourier series. A system of linear algebraic equations is obtained by using the classical Galerkin method and the Gauss-Seidel algorithm is used to solve the system. Several numerical examples are considered to demonstrate the effectiveness of the approach.

Original languageEnglish (US)
Pages (from-to)1069-1106
Number of pages38
JournalInternational Journal for Numerical Methods in Engineering
Volume52
Issue number10
DOIs
StatePublished - Dec 10 2001

Keywords

  • Complex hypersingular integral equation
  • Elasticity
  • Galerkin method
  • Multiple circular inclusions

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