An extended finite element method (XFEM) for linear elastic fracture with smooth nodal stress

X. Peng, S. Kulasegaram, S. C. Wu, S. P.A. Bordas

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We present a method to achieve smooth nodal stresses in the XFEM. The salient feature of the method is to introduce an ‘average’ gradient into the construction of the approximation. Due to the higher-order polynomial basis provided by the interpolants, the new approximation enhances the smoothness of the solution without requiring an increased number of degrees of freedom. We conclude from numerical tests that the proposed method tends to be an efficient alternative to the classical XFEM, bypassing any postprocessing step to obtain smooth nodal stress fields and providing a direct means to compute local stress error measures.

Original languageEnglish
Pages (from-to)48-63
Number of pages16
JournalComputers and Structures
Volume179
DOIs
Publication statusPublished - 15 Jan 2017
Externally publishedYes

Fingerprint

Extended Finite Element Method
Finite element method
Polynomial Basis
Interpolants
Approximation
Stress Field
Post-processing
Smoothness
Degree of freedom
Polynomials
Tend
Higher Order
Gradient
Alternatives

Cite this

Peng, X. ; Kulasegaram, S. ; Wu, S. C. ; Bordas, S. P.A. / An extended finite element method (XFEM) for linear elastic fracture with smooth nodal stress. In: Computers and Structures. 2017 ; Vol. 179. pp. 48-63.
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An extended finite element method (XFEM) for linear elastic fracture with smooth nodal stress. / Peng, X.; Kulasegaram, S.; Wu, S. C.; Bordas, S. P.A.

In: Computers and Structures, Vol. 179, 15.01.2017, p. 48-63.

Research output: Contribution to journalArticle

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