XLME interpolants, a seamless bridge between XFEM and enriched meshless methods

Amiri, F., Anitescu, C., Arroyo, M., Bordas, Stephane Pierre Alain ORCID: https://orcid.org/0000-0001-8634-7002 and Rabczuk, T. 2014. XLME interpolants, a seamless bridge between XFEM and enriched meshless methods. Computational Mechanics 53 (1) , pp. 45-57. 10.1007/s00466-013-0891-2

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Abstract

In this paper, we develop a method based on local maximum entropy shape functions together with enrichment functions used in partition of unity methods to discretize problems in linear elastic fracture mechanics. We obtain improved accuracy relative to the standard extended finite element method at a comparable computational cost. In addition, we keep the advantages of the LME shape functions, such as smoothness and non-negativity. We show numerically that optimal convergence (same as in FEM) for energy norm and stress intensity factors can be obtained through the use of geometric (fixed area) enrichment with no special treatment of the nodes near the crack such as blending or shifting.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Advanced Research Computing @ Cardiff (ARCCA) Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Publisher:	Springer Verlag
ISSN:	0178-7675
Last Modified:	01 Nov 2022 10:42
URI:	https://orca.cardiff.ac.uk/id/eprint/92598

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