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

doi:10.1016/j.compstruc.2016.10.014

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 journal › Article

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 language	English
Pages (from-to)	48-63
Number of pages	16
Journal	Computers and Structures
Volume	179
DOIs	https://doi.org/10.1016/j.compstruc.2016.10.014
Publication status	Published - 15 Jan 2017
Externally published	Yes

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. (2017). An extended finite element method (XFEM) for linear elastic fracture with smooth nodal stress. Computers and Structures, 179, 48-63. https://doi.org/10.1016/j.compstruc.2016.10.014

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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Peng, X, Kulasegaram, S, Wu, SC & Bordas, SPA 2017, 'An extended finite element method (XFEM) for linear elastic fracture with smooth nodal stress' Computers and Structures, vol. 179, pp. 48-63. https://doi.org/10.1016/j.compstruc.2016.10.014

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 journal › Article

TY - JOUR

T1 - An extended finite element method (XFEM) for linear elastic fracture with smooth nodal stress

AU - Peng, X.

AU - Kulasegaram, S.

AU - Wu, S. C.

AU - Bordas, S. P.A.

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AB - 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.

KW - Crack propagation

KW - Double-interpolation approximation

KW - Extended finite element method

KW - Higher-order element

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