Treatment of material discontinuity in the Element-Free Galerkin method

L. W. Cordes*, B. Moran

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

165 Scopus citations


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
Issue number1-4
StatePublished - Dec 1 1996
Externally publishedYes

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • General Physics and Astronomy
  • Computer Science Applications


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