Analysis of symmetric domains in advanced applications with the boundary element method

Igor Kaljević, Sunil Saigal

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

The strategy in the boundary element method for the analysis of symmetric domains that does not require the modelling of contours corresponding to the axes of symmetry is investigated for a number of advanced applications. These applications include: treatment of domain loadings, two‐dimensional time domain transient elastodynamics, and the analysis of probabilistic problems in elastostatics with a random geometric configuration. Both symmetric as well as arbitrary loadings acting on the symmetric objects are considered. A number of case studies are presented to provide comparisons of computer memory and CPU time requirements for the analyses of the entire object versus the analyses of only the symmetric portion of the object. The numerical data presented clearly demonstrates the advantages of developing efficient symmetric formulations for advanced applications.

Original languageEnglish (US)
Pages (from-to)2373-2388
Number of pages16
JournalInternational Journal for Numerical Methods in Engineering
Volume38
Issue number14
DOIs
StatePublished - Jul 30 1995
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Engineering
  • Applied Mathematics
  • Numerical Analysis

Keywords

  • boundary element method
  • symmetric domains

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