Ródenas, J.; González-Estrada, O.; Taráncón, J.; Fuenmayor, F. (2008). A recovery-type error estimator for the extended finite element method based on singular+smooth stress field splitting. International Journal for Numerical Methods in Engineering. 76(4):545-571. https://doi.org/10.1002/nme.2313
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/103795
Title:
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A recovery-type error estimator for the extended finite element method based on singular+smooth stress field splitting
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Author:
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Ródenas, J.J.
González-Estrada, O.A.
Taráncón, J.E.
Fuenmayor, F.J.
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UPV Unit:
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Universitat Politècnica de València. Departamento de Ingeniería Mecánica y de Materiales - Departament d'Enginyeria Mecànica i de Materials
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Issued date:
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Abstract:
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[EN] A new stress recovery procedure that provides accurate estimations of the discretization error for linear elastic fracture mechanic problems analyzed with the extended finite element method (XFEM) is presented. The ...[+]
[EN] A new stress recovery procedure that provides accurate estimations of the discretization error for linear elastic fracture mechanic problems analyzed with the extended finite element method (XFEM) is presented. The procedure is an adaptation of the superconvergent patch recovery (SPR) technique for the XFEM framework. It is based oil three fundamental aspects: (a) the use of a singular+smooth stress field decomposition technique involving the use of different recovery methods (or each field: standard SPR for the smooth field and reconstruction of the recovered singular field using the stress intensity factor K for the singular field: (b) direct calculation of smoothed stresses at integation points using conjoint polynomial enhancement and (c) assembly of patches with elements intersected by the crack using different stress interpolation polynomials at each side of the crack. The method was validated by testing it oil problems with an exact solution in mode I, mode II, and mixed mode and oil it problem without analytical solution. The results obtained showed the accuracy of the proposed error estimator.
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Subjects:
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Extended finite element method
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Error estimation
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Superconvergent patch recovery
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Singular stress field
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Linear elastic fracture mechanics
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Copyrigths:
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Reserva de todos los derechos
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Source:
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International Journal for Numerical Methods in Engineering. (issn:
0029-5981
)
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DOI:
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10.1002/nme.2313
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Publisher:
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John Wiley & Sons
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Publisher version:
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https://doi.org/10.1002/nme.2313
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Project ID:
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info:eu-repo/grantAgreement/MEC//DPI2007-66995-C03-02/ES/MODELADO DEL CRECIMIENTO DE GRIETAS EN PROBLEMAS DE ENTALLAS Y FRETTING MEDIANTE METODOS DE PARTICION DE LA UNIDAD Y MORTAR/
info:eu-repo/grantAgreement/MEC//DPI2007-66773-C02-01/ES/TECNICAS EFICACES DE ANALISIS CON CONTROL DE ERROR PARA CONJUNTOS DE CONFIGURACIONES EN OPTIMIZACION DE FORMA CON ALGORITMOS EVOLUTIVOS/
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Thanks:
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This paper was developed within the framework of the research projects DP12007-66773-C02-01 and DPI2007-66995-C03-02 of the Ministerio de Educacion y Ciencia (Spain). Funding was also received from the Generalitat Valenciana ...[+]
This paper was developed within the framework of the research projects DP12007-66773-C02-01 and DPI2007-66995-C03-02 of the Ministerio de Educacion y Ciencia (Spain). Funding was also received from the Generalitat Valenciana and the Universidad Politecnica de Valencia.
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Type:
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Artículo
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