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

Authors

  • Elie Chahine Laboratory for Nuclear Materials Nuclear Energy and Safety Research Department Paul Scherrer Institute OVGA/14 CH-5232 Villigen PSI, Switzerland
  • Patrick Laborde Institut de Mathématiques de Toulouse, UMR CNRS 5215 Université Paul Sabatier (Université de Toulouse) 118 route de Narbonne, 31062 Toulouse cedex 4, France
  • Yves Renard Université de Lyon, CNRS, INSA-Lyon, ICJ UMR5208 LaMCoS UMR5259, F-69621, Villeurbanne, France

DOI:

https://doi.org/10.13052/EJCM.19.177-187

Keywords:

crack, XFEM, non-conformal approximation

Abstract

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.

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References

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Published

2010-08-06

How to Cite

Chahine, E. ., Laborde, P. ., & Renard, Y. . (2010). An improvement within XFEM of the bonding between the enrichment area and the classical finite elements. European Journal of Computational Mechanics, 19(1-3), 177–187. https://doi.org/10.13052/EJCM.19.177-187

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Original Article