A quasi-optimal convergence result for fracture mechanics with XFEM
TLDR
Chahine et al. as discussed by the authors gave a convergence result for a variant of the eXtended Finite Element Method (XFEM) on cracked domains using a cut-off function to localize the singular enrichment area.About:
This article is published in Comptes Rendus Mathematique.The article was published on 2006-04-01 and is currently open access. It has received 33 citations till now. The article focuses on the topics: Extended finite element method & Rate of convergence.read more
Citations
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Dissertation
Investigative Application of the Intrinsic Extended Finite Element Method for the Computational Characterization of Composite Materials
TL;DR: In this article, the authors propose a method to solve the problem of the problem: this article... ]..,.. )].. [1].
Couplage des méthodes X-FEM et de la base réduite pour la modélisation des fissures interfaciales
TL;DR: In this article, a methode d'elements finis finis etendue XFEM is used to enrich the base elements of a maillage raffine.
Journal Article
Study on the Effect of Residual Compressive Stress on Crack Propagation Based on XFEM
TL;DR: In this article, the authors used the extended finite element method to simulate crack growth under frictional contact, and verified that accurate calculation results under crack propagation can be obtained using the Extended Finite Element method.
References
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Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Book
The Finite Element Method for Elliptic Problems
Philippe G. Ciarlet,J. T. Oden +1 more
TL;DR: The finite element method has been applied to a variety of nonlinear problems, e.g., Elliptic boundary value problems as discussed by the authors, plate problems, and second-order problems.
Book
Finite Element Method for Elliptic Problems
TL;DR: In this article, Ciarlet presents a self-contained book on finite element methods for analysis and functional analysis, particularly Hilbert spaces, Sobolev spaces, and differential calculus in normed vector spaces.
Journal ArticleDOI
A finite element method for crack growth without remeshing
TL;DR: In this article, a displacement-based approximation is enriched near a crack by incorporating both discontinuous elds and the near tip asymptotic elds through a partition of unity method.
Related Papers (5)
The partition of unity finite element method: Basic theory and applications
Jens Markus Melenk,Ivo Babuška +1 more