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

Peng, Xuan, Kulasegaram, Sivakumar, Wu, S. C. and Bordas, Stephane Pierre Alain 2017. An extended finite element method (XFEM) for linear elastic fracture with smooth nodal stress. Computers & Structures 179 , pp. 48-63. 10.1016/j.compstruc.2016.10.014

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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.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Subjects: T Technology > TJ Mechanical engineering and machinery
Uncontrolled Keywords: Double-interpolation approximation; Higher-order element; Smooth nodal stress; Extended finite element method; Crack propagation
Publisher: Elsevier
ISSN: 0045-7949
Date of Acceptance: 9 October 2016
Last Modified: 26 May 2019 21:53
URI: http://orca.cf.ac.uk/id/eprint/98983

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