Formulation of xfem based on pufem for avoiding problem caused by blending elements

Kazuki Shibanuma, Tomoaki Utsunomiya

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In the existing standard XFEM, decrement in accuracy of the numerical solution is caused by 'blending elements (BE)', whose nodes are partially enriched. In this paper, a modified formulation of XFEM is proposed by using the concept of approximation of PUFEM which assures the approximate accuracy in the entire analytical domain in order to solve the BE problem in the standard XFEM. The reformulated XFEM is applied to two dimensional linear fracture mechanics. The results obtained by the proposed XFEM using a basic numerical model are better than those obtained by the standard XFEM. Therefore, the proposed formulation is found to be effective to improve the versatility of the XFEM.

Original languageEnglish
Pages (from-to)228-242
Number of pages15
JournalDoboku Gakkai Ronbunshuu A
Volume65
Issue number1
DOIs
Publication statusPublished - Dec 1 2009
Externally publishedYes

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Fracture mechanics
Numerical models

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Building and Construction
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Formulation of xfem based on pufem for avoiding problem caused by blending elements. / Shibanuma, Kazuki; Utsunomiya, Tomoaki.

In: Doboku Gakkai Ronbunshuu A, Vol. 65, No. 1, 01.12.2009, p. 228-242.

Research output: Contribution to journalArticle

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