Treatment of material discontinuity in the Element-Free Galerkin method

L. W. Cordes*, Brian Moran

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

149 Scopus citations

Abstract

A method is presented for application of the Element-Free Galerkin method (EFG) to solid mechanics problems containing material discontinuities. By using the EFG method, the trial and test functions for the weak form are constructed with moving least-square interpolants in each material domain. Additional constraints are imposed at the variational level to ensure satisfaction of interface conditions. As a result, only nodal data (no elemental connectivity) is needed. Given C1 continuity of the interpolant weighting function, the dependent variable and its gradient are continuous in each material domain. Two linear elastic bi-material examples are presented to illustrate the effectiveness of the method.

Original languageEnglish (US)
Pages (from-to)75-89
Number of pages15
JournalComputer Methods in Applied Mechanics and Engineering
Volume139
Issue number1-4
DOIs
StatePublished - Dec 1 1996

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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