González Albuixech, VF.; Giner Maravilla, E.; Tarancón Caro, JE.; Fuenmayor Fernández, FJ.; Gravouil, A. (2013). Domain integral formulation for 3-D curved and non-planar cracks with the extended finite element method. Computer Methods in Applied Mechanics and Engineering. 264:129-144. doi:10.1016/j.cma.2013.05.016
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/37056
Title:
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Domain integral formulation for 3-D curved and non-planar cracks with the extended finite element method
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Author:
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González Albuixech, Vicente Francisco
Giner Maravilla, Eugenio
Tarancón Caro, José Enrique
Fuenmayor Fernández, Francisco Javier
Gravouil, Anthony
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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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The computation of stress intensity factors (SIFS) in curved and non-planar cracks using domain integrals introduces some difficulties related to the use of curvilinear gradients. Several approaches exist in the literature ...[+]
The computation of stress intensity factors (SIFS) in curved and non-planar cracks using domain integrals introduces some difficulties related to the use of curvilinear gradients. Several approaches exist in the literature that consider curvilinear corrections within a finite element framework, but these depend on each particular crack configuration and they are not general. In this work, we introduce the curvilinear gradient correction within the extended finite element method framework (XFEM), based only on the level set information used for the crack description and the local coordinate system definition. Our formulation depends only on the level set coordinates and, therefore, an explicit analytical description of the crack is not needed. It is shown that this curvilinear correction improves the results and enables the study of generic cracks. In addition, we have introduced a simple error indicator for improving the SIF computed via the interaction integral, thanks to the better behavior of the J-integral as it does not need auxiliary extraction fields.
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Subjects:
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XFEM
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Level sets
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SIF
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Curved and non-planar cracks
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Interaction integral
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J-integral
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Computer Methods in Applied Mechanics and Engineering. (issn:
0045-7825
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DOI:
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10.1016/j.cma.2013.05.016
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Publisher:
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Elsevier
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Publisher version:
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http://dx.doi.org/10.1016/j.cma.2013.05.016
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Project ID:
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Ministerio de Economía y Competitividad PI2007-66995-C03-02 and DPI2010-20990
Generalitat Valenciana, Programme PROMETEO 2012/023
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Thanks:
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This work has been carried out within the framework of the research projects DPI2007-66995-C03-02 and DPI2010-20990 financed by the Ministerio de Economia y Competitividad. The support of the Generalitat Valenciana, Programme ...[+]
This work has been carried out within the framework of the research projects DPI2007-66995-C03-02 and DPI2010-20990 financed by the Ministerio de Economia y Competitividad. The support of the Generalitat Valenciana, Programme PROMETEO 2012/023 is also acknowledged.
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Type:
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Artículo
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