Mesh-independent p-orthotropic enrichment using the generalized finite element method

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Abstract

This paper is aimed at presenting a simple yet effective procedure to implement a mesh-independent p-orthotropic enrichment in the generalized finite element method. The procedure is based on the observation that shape functions used in the GFEM can be constructed from polynomials defined in any co-ordinate system regardless of the underlying mesh or type of element used. Numerical examples where the solution possesses boundary or internal layers are solved on coarse tetrahedral meshes with isotropic and the proposed p-orthotropic enrichment.

Original languageEnglish (US)
Pages (from-to)1477-1492
Number of pages16
JournalInternational Journal for Numerical Methods in Engineering
Volume55
Issue number12
DOIs
StatePublished - Dec 30 2002
Externally publishedYes

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Keywords

  • Generalized finite element method
  • Hp-cloud method
  • Meshfree
  • Meshless
  • Partition of unity method
  • p-enrichment

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Applied Mathematics
  • Computational Mechanics

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