A Galerkin boundary integral method for multiple circular elastic inclusions

Sofia Mogilevskaya, Steven L Crouch

Research output: Contribution to journalArticlepeer-review

68 Scopus citations

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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