Numerical analysis of the inclusion-crack interaction by the extended finite element method

Natarajan, S., Kerfriden, Pierre ORCID: https://orcid.org/0000-0002-7749-3996, Mahapatra, D. Roy and Bordas, Stephane Pierre Alain ORCID: https://orcid.org/0000-0001-8634-7002 2014. Numerical analysis of the inclusion-crack interaction by the extended finite element method. International Journal for Computational Methods in Engineering Science and Mechanics 15 (1) , pp. 26-32. 10.1080/15502287.2013.833999

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Abstract

One of the partition of unity methods, the extended finite element method (XFEM), is applied to study the inclusion-crack interactions in an elastic medium. Both the inclusions and the crack are modelled within the XFEM framework. A structured quadrilateral 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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Advanced Research Computing @ Cardiff (ARCCA) Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Uncontrolled Keywords:	Inclusion crack interaction, XFEM, Partition of unity methods, Interaction integral, Non-homogeneous materials
Publisher:	Taylor & Francis
ISSN:	1550-2287
Funders:	EU FP7, European Research Council (ERC)
Last Modified:	11 Mar 2023 02:13
URI:	https://orca.cardiff.ac.uk/id/eprint/52993

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