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A fully smoothed XFEM for analysis of axisymmetric problems with weak discontinuities

Wan, Detao, Hu, Dean, Natarajan, Sundararajan, Bordas, Stéphane P.A. ORCID: and Yang, Gang 2017. A fully smoothed XFEM for analysis of axisymmetric problems with weak discontinuities. International Journal for Numerical Methods in Engineering 110 (3) , pp. 203-226. 10.1002/nme.5352

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In this paper, we propose a fully smoothed extended finite element method for axisymmetric problems with weak discontinuities. The salient feature of the proposed approach is that all the terms in the stiffness and mass matrices can be computed by smoothing technique. This is accomplished by combining the Gaussian divergence theorem with the evaluation of indefinite integral based on smoothing technique, which is used to transform the domain integral into boundary integral. The proposed technique completely eliminates the need for isoparametric mapping and the computing of Jacobian matrix even for the mass matrix. When employed over the enriched elements, the proposed technique does not require sub-triangulation for the purpose of numerical integration. The accuracy and convergence properties of the proposed technique are demonstrated with a few problems in elastostatics and elastodynamics with weak discontinuities. It can be seen that the proposed technique yields stable and accurate solutions and is less sensitive to mesh distortion.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Publisher: Wiley
ISSN: 0029-5981
Date of Acceptance: 10 August 2016
Last Modified: 02 Nov 2022 11:44

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