A semi-analytical solution for multiple circular inhomogeneities in one of two joined isotropic elastic half-planes

Nicolas Brusselaars, Sofia Mogilevskaya, Steven L Crouch

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

The paper presents a semi-analytical method for solving the problem of two joined, dissimilar isotropic elastic half-planes, one of which contains a large number of arbitrary located, non-overlapping, perfectly bonded circular elastic inhomogeneities. In general, the inhomogeneities may have different elastic properties and sizes. The analysis is based on a solution of a complex singular integral equation with the unknown tractions at each circular boundary approximated by a truncated complex Fourier series. A system of linear algebraic equations is obtained by using a Taylor series expansion. Apart from round-off, the only errors introduced into the solution are due to truncation of the Fourier series. The resulting semi-analytical method allows one to calculate the elastic fields everywhere in the half-planes and inside the inhomogeneities. Numerical examples are included to demonstrate the effectiveness of the approach.

Original languageEnglish (US)
Pages (from-to)692-705
Number of pages14
JournalEngineering Analysis with Boundary Elements
Volume31
Issue number8
DOIs
StatePublished - Aug 1 2007

Keywords

  • Bonded half-planes
  • Complex singular integral equation
  • Elasticity
  • Multiple circular inhomogeneities

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