Reference : A fully smoothed XFEM for analysis of axisymmetric problems with weak discontinuities
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
http://hdl.handle.net/10993/34939
A fully smoothed XFEM for analysis of axisymmetric problems with weak discontinuities
English
Wan, Detao [> >]
Hu, Dean [> >]
Natarajan, Sundararajan [> >]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit]
Yang, Gang [> >]
2017
International Journal for Numerical Methods in Engineering
110
3
203-226
Yes
International
[en] SmXFEM ; indefinite integral ; Green’s divergence theorem ; mass matrix ; weak discontinuity ; axisymmetric problem
[en] In this paper, we propose a fully smoothed extended finite element method (SmXFEM) for axisymmetric problems with weak discontinuities. The salient feature of the proposed approach is that all the terms in the stiffness and mass matrixes can be computed by smoothing technique. This is accomplished by combining the Green’s 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.
National Natural Science Foundation of China (11272118, 11372106) ; Natural Science Foundation of Hunan Province (2016JJ1009)
Researchers ; Professionals ; Students ; General public ; Others
http://hdl.handle.net/10993/34939
10.1002/nme.5352
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85015626473&doi=10.1002%2fnme.5352&partnerID=40&md5=980650262c02379a34c40485fcd0f783

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