A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM

Autores
Oliver, J.; Huespe, Alfredo Edmundo; Sánchez, Pablo Javier
Año de publicación
2006
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A comparative study on finite elements for capturing strong discontinuities by means of elemental (E-FEM) or nodal enrichments (XFEM) is presented. Based on the same constitutive model (continuum damage) and linear elements (triangles and tetrahedra) optimized implementations of both types of enrichments in the same non-linear code are tested for a representative set of 2D and 3D crack propagation examples. It is shown that both methods provide the same qualitative and quantitative results for enough refined meshes. For the performed tests, E-FEM exhibited, in general, a higher accuracy, mostly for coarse meshes, whereas, convergence rate with mesh refinement, which is super-linear, showed slightly higher for X-FEM. As for the computational costs for single crack modelling X-FEM showed, depending on the case, from 1.1 to about 2.5 times more expensive than E-FEM. For multiple cracks, the computational cost of E-FEM keeps constant, whereas the cost associated to X-FEM increases linearly with the number of modelled cracks.
Fil: Oliver, J.. Universidad Politecnica de Catalunya; España
Fil: Huespe, Alfredo Edmundo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina. Universidad Politecnica de Catalunya; España
Fil: Sánchez, Pablo Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Materia
Finite Elements with Embedded Discontinuities
E-Fem
X-Fem
Computational Material Failure
Strong Discontinuities
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/26356
Acceder
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network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEMOliver, J.Huespe, Alfredo EdmundoSánchez, Pablo JavierFinite Elements with Embedded DiscontinuitiesE-FemX-FemComputational Material FailureStrong DiscontinuitiesA comparative study on finite elements for capturing strong discontinuities by means of elemental (E-FEM) or nodal enrichments (XFEM) is presented. Based on the same constitutive model (continuum damage) and linear elements (triangles and tetrahedra) optimized implementations of both types of enrichments in the same non-linear code are tested for a representative set of 2D and 3D crack propagation examples. It is shown that both methods provide the same qualitative and quantitative results for enough refined meshes. For the performed tests, E-FEM exhibited, in general, a higher accuracy, mostly for coarse meshes, whereas, convergence rate with mesh refinement, which is super-linear, showed slightly higher for X-FEM. As for the computational costs for single crack modelling X-FEM showed, depending on the case, from 1.1 to about 2.5 times more expensive than E-FEM. For multiple cracks, the computational cost of E-FEM keeps constant, whereas the cost associated to X-FEM increases linearly with the number of modelled cracks.Fil: Oliver, J.. Universidad Politecnica de Catalunya; EspañaFil: Huespe, Alfredo Edmundo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina. Universidad Politecnica de Catalunya; EspañaFil: Sánchez, Pablo Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; ArgentinaElsevier Science Sa2006-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/26356Oliver, J.; Huespe, Alfredo Edmundo; Sánchez, Pablo Javier; A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 195; 37-40; 12-2006; 4732-47520045-7825CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.cma.2005.09.020info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0045782505005049info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:55:55Zoai:ri.conicet.gov.ar:11336/26356instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:55:56.309CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM
title A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM
spellingShingle A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM
Oliver, J.
Finite Elements with Embedded Discontinuities
E-Fem
X-Fem
Computational Material Failure
Strong Discontinuities
title_short A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM
title_full A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM
title_fullStr A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM
title_full_unstemmed A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM
title_sort A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM
dc.creator.none.fl_str_mv Oliver, J.
Huespe, Alfredo Edmundo
Sánchez, Pablo Javier
author Oliver, J.
author_facet Oliver, J.
Huespe, Alfredo Edmundo
Sánchez, Pablo Javier
author_role author
author2 Huespe, Alfredo Edmundo
Sánchez, Pablo Javier
author2_role author
author
dc.subject.none.fl_str_mv Finite Elements with Embedded Discontinuities
E-Fem
X-Fem
Computational Material Failure
Strong Discontinuities
topic Finite Elements with Embedded Discontinuities
E-Fem
X-Fem
Computational Material Failure
Strong Discontinuities
dc.description.none.fl_txt_mv A comparative study on finite elements for capturing strong discontinuities by means of elemental (E-FEM) or nodal enrichments (XFEM) is presented. Based on the same constitutive model (continuum damage) and linear elements (triangles and tetrahedra) optimized implementations of both types of enrichments in the same non-linear code are tested for a representative set of 2D and 3D crack propagation examples. It is shown that both methods provide the same qualitative and quantitative results for enough refined meshes. For the performed tests, E-FEM exhibited, in general, a higher accuracy, mostly for coarse meshes, whereas, convergence rate with mesh refinement, which is super-linear, showed slightly higher for X-FEM. As for the computational costs for single crack modelling X-FEM showed, depending on the case, from 1.1 to about 2.5 times more expensive than E-FEM. For multiple cracks, the computational cost of E-FEM keeps constant, whereas the cost associated to X-FEM increases linearly with the number of modelled cracks.
Fil: Oliver, J.. Universidad Politecnica de Catalunya; España
Fil: Huespe, Alfredo Edmundo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina. Universidad Politecnica de Catalunya; España
Fil: Sánchez, Pablo Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
description A comparative study on finite elements for capturing strong discontinuities by means of elemental (E-FEM) or nodal enrichments (XFEM) is presented. Based on the same constitutive model (continuum damage) and linear elements (triangles and tetrahedra) optimized implementations of both types of enrichments in the same non-linear code are tested for a representative set of 2D and 3D crack propagation examples. It is shown that both methods provide the same qualitative and quantitative results for enough refined meshes. For the performed tests, E-FEM exhibited, in general, a higher accuracy, mostly for coarse meshes, whereas, convergence rate with mesh refinement, which is super-linear, showed slightly higher for X-FEM. As for the computational costs for single crack modelling X-FEM showed, depending on the case, from 1.1 to about 2.5 times more expensive than E-FEM. For multiple cracks, the computational cost of E-FEM keeps constant, whereas the cost associated to X-FEM increases linearly with the number of modelled cracks.
publishDate 2006
dc.date.none.fl_str_mv 2006-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/26356
Oliver, J.; Huespe, Alfredo Edmundo; Sánchez, Pablo Javier; A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 195; 37-40; 12-2006; 4732-4752
0045-7825
CONICET Digital
CONICET
url http://hdl.handle.net/11336/26356
identifier_str_mv Oliver, J.; Huespe, Alfredo Edmundo; Sánchez, Pablo Javier; A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 195; 37-40; 12-2006; 4732-4752
0045-7825
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cma.2005.09.020
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0045782505005049
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science Sa
publisher.none.fl_str_mv Elsevier Science Sa
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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