Enrichment of the finite element method with the reproducing kernel particle method

Wing Kam Liu, Y. Chen, Y. Chen

Research output: Contribution to journalArticle

99 Scopus citations

Abstract

The reproducing kernel particle method (RKPM) has attractive properties in handling high gradients, concentrated forces, and large deformations where other widely implemented methodologies fail. In the present work, a multiple field computational procedure is devised to enrich the finite element method with RKPM, and RKPM with analytical functions. The formulation includes an interaction term that accounts for any overlap between the fields, and increases the accuracy of the computational solutions in a coarse mesh or particle grid. By replacing finite element method shape Junctions at selected nodes with higher-order RKPM window functions, RKPM p- enrichment is obtained. Similarly, by adding RKPM window functions into a finite element method mesh, RKPM hp-enrichment is achieved analogous to adaptive re- finement. The fundamental concepts of the multiresolution analysis are used to devise an adaptivity procedure.

Original languageEnglish (US)
Pages (from-to)861-870
Number of pages10
JournalJournal of Applied Mechanics, Transactions ASME
Volume64
Issue number4
DOIs
StatePublished - Dec 1997

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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