Reference : Numerical analysis of the inclusion-crack interaction by the extended finite element ...
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Numerical analysis of the inclusion-crack interaction by the extended finite element method
Natarajan, S []
Kerfriden, P []
Mahapatra, D Roy []
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
International Journal for Computational Methods in Engineering Science and Mechanics
Taylor and Francis
Yes (verified by ORBilu)
[en] Inclusion crack interaction ; XFEM ; Partition of Unity methods ; Interaction integral ; Non-homogeneous materials ; Crack
[en] One of the partition of unity methods, the extended finite ele- ment method (XFEM), is applied to study the inclusion-crack in- teractions in an elastic medium. Both the inclusions and the crack are modelled within the XFEM framework. A structured quadri- lateral mesh is used and the influence of crack length, the number of inclusions, and the geometry of the inclusions on the crack tip stress field are numerically studied. The interaction integral for non-homogeneous materials is used to compute the stress intensity factors ahead of the crack tip. The accuracy and flexibility of the XFEM is demonstrated by various numerical examples.
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