An improvement within xfem of the bonding between the enrichment area and the classical finite elements

Elie Chahine; Patrick Laborde; Yves Renard

hal-00690548, version 1

An improvement within xfem of the bonding between the enrichment area and the classical finite elements

Elie Chahine ¹, Patrick Laborde () ², Yves Renard (, ) ^3, 4

European Journal of Computational Mechanics 19, 1-2-3 (2010) 177-187

Résumé : We are interested in XFEM strain calculations of a cracked elastic body. It is already known that with XFEM, the approximation quality is distorted by the layer of elements lying between the singular enrichment area and the rest of the mesh. In the following work, we replace this transition layer by a "mortar" type integral bonding condition at the interface between the two areas. We prove how the proposed approach enhance significantly the approximation.

1 : Laboratory for Nuclear Materials
Institutr OVGA
2 : Institut de Mathématiques de Toulouse (IMT)
Université Paul Sabatier [UPS] - Toulouse III – Université Toulouse le Mirail - Toulouse II – Université des Sciences Sociales - Toulouse I – Institut National des Sciences Appliquées (INSA) - Toulouse – CNRS : UMR5219
3 : Laboratoire de Mécanique des Contacts et des Structures (LaMCoS)
CNRS : UMR5259 – Institut National des Sciences Appliquées (INSA) - Lyon
4 : Institut Camille Jordan (ICJ)
CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon

hal-00690548, version 1
http://hal.archives-ouvertes.fr/hal-00690548
oai:hal.archives-ouvertes.fr:hal-00690548
Contributeur : Yves Renard <>
Soumis le : Lundi 23 Avril 2012, 18:10:15
Dernière modification le : Mardi 24 Avril 2012, 09:06:38

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