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

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.contributor	Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.contributor.author	Amiri, Fatemeh
dc.contributor.author	Anitescu, C
dc.contributor.author	Arroyo Balaguer, Marino
dc.contributor.author	Bordas, S P A
dc.contributor.author	Rabczuk, Timon
dc.date	2014-01
dc.identifier.citation	Amiri, F., Anitescu, C., Arroyo, M., Bordas, S., Rabczuk, T. XLME interpolants, a seamless bridge between XFEM and enriched meshless methods. "Computational Mechanics", Gener 2014, vol. 53, núm. 1, p. 45-57.
dc.identifier.citation	0178-7675
dc.identifier.citation	10.1007/s00466-013-0891-2
dc.identifier.uri	http://hdl.handle.net/2117/77760
dc.language.iso	eng
dc.relation	http://link.springer.com/article/10.1007%2Fs00466-013-0891-2
dc.relation	info:eu-repo/grantAgreement/EC/FP7/279578/EU/Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery/REALTCUT
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
dc.subject	Strength of materials
dc.subject	Local maximum entropy Convex approximation Meshless methods Extrinsic enrichment
dc.subject	Resistència de materials
dc.subject	Classificació AMS::74 Mechanics of deformable solids::74S Numerical methods
dc.title	XLME interpolants, a seamless bridge between XFEM and enriched meshless methods
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.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.
dc.description.abstract	Peer Reviewed

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