Element-wise fracture algorithm based on rotation of edges

Detalhes bibliográficos
Autor(a) principal: Areias, P.
Data de Publicação: 2013
Outros Autores: Rabczuk, T., Dias-da-Costa, D.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/27389
https://doi.org/10.1016/j.engfracmech.2013.06.006
Resumo: We propose an alternative, simpler algorithm for FEM-based computational fracture in brittle, quasi-brittle and ductile materials based on edge rotations. Rotation axes are the crack front edges (respectively nodes in surface discretizations) and each rotated edge affects the position of only one or two nodes. Modified positions of the entities minimize the difference between the predicted crack path (which depends on the specific propagation theory in use) and the edge or face orientation. The construction of all many-to-many relations between geometrical entities in a finite element code motivates operations on existing entities retaining most of the relations, in contrast with remeshing (even tip remeshing) and enrichment which alter the structure of the relations and introduce additional entities to the relation graph (in the case of XFEM, enriched elements which can be significantly different than classical FEM elements and still pose challenges for ductile fracture or large amplitude sliding). In this sense, the proposed solution has algorithmic and generality advantages. The propagation algorithm is simpler than the aforementioned alternatives and the approach is independent of the underlying element used for discretization. For history-dependent materials, there are still some transfer of relevant quantities between meshes. However, diffusion of results is more limited than with tip or full remeshing. To illustrate the advantages of our approach, two prototype models are used: tip energy dissipation (LEFM) and cohesive-zone approaches. The Sutton crack path criterion is employed. Traditional fracture benchmarks and newly proposed verification tests are solved. These were found to be very good in terms of crack path and load/deflection accuracy.
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spelling Element-wise fracture algorithm based on rotation of edgesFractureQuasi-brittle materialsDuctile materialsEdge rotationsFinite strainsWe propose an alternative, simpler algorithm for FEM-based computational fracture in brittle, quasi-brittle and ductile materials based on edge rotations. Rotation axes are the crack front edges (respectively nodes in surface discretizations) and each rotated edge affects the position of only one or two nodes. Modified positions of the entities minimize the difference between the predicted crack path (which depends on the specific propagation theory in use) and the edge or face orientation. The construction of all many-to-many relations between geometrical entities in a finite element code motivates operations on existing entities retaining most of the relations, in contrast with remeshing (even tip remeshing) and enrichment which alter the structure of the relations and introduce additional entities to the relation graph (in the case of XFEM, enriched elements which can be significantly different than classical FEM elements and still pose challenges for ductile fracture or large amplitude sliding). In this sense, the proposed solution has algorithmic and generality advantages. The propagation algorithm is simpler than the aforementioned alternatives and the approach is independent of the underlying element used for discretization. For history-dependent materials, there are still some transfer of relevant quantities between meshes. However, diffusion of results is more limited than with tip or full remeshing. To illustrate the advantages of our approach, two prototype models are used: tip energy dissipation (LEFM) and cohesive-zone approaches. The Sutton crack path criterion is employed. Traditional fracture benchmarks and newly proposed verification tests are solved. These were found to be very good in terms of crack path and load/deflection accuracy.Elsevier2013-09info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/27389http://hdl.handle.net/10316/27389https://doi.org/10.1016/j.engfracmech.2013.06.006engAREIAS, P.; RABCZUK, T.; DIAS-DA-COSTA, D. - Element-wise fracture algorithm based on rotation of edges. "Engineering Fracture Mechanics". ISSN 0013-7944. Vol. 110 (2013) p. 113-1370013-7944http://www.sciencedirect.com/science/article/pii/S0013794413002373Areias, P.Rabczuk, T.Dias-da-Costa, D.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2020-05-29T09:42:17Zoai:estudogeral.uc.pt:10316/27389Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:57:17.273334Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Element-wise fracture algorithm based on rotation of edges
title Element-wise fracture algorithm based on rotation of edges
spellingShingle Element-wise fracture algorithm based on rotation of edges
Areias, P.
Fracture
Quasi-brittle materials
Ductile materials
Edge rotations
Finite strains
title_short Element-wise fracture algorithm based on rotation of edges
title_full Element-wise fracture algorithm based on rotation of edges
title_fullStr Element-wise fracture algorithm based on rotation of edges
title_full_unstemmed Element-wise fracture algorithm based on rotation of edges
title_sort Element-wise fracture algorithm based on rotation of edges
author Areias, P.
author_facet Areias, P.
Rabczuk, T.
Dias-da-Costa, D.
author_role author
author2 Rabczuk, T.
Dias-da-Costa, D.
author2_role author
author
dc.contributor.author.fl_str_mv Areias, P.
Rabczuk, T.
Dias-da-Costa, D.
dc.subject.por.fl_str_mv Fracture
Quasi-brittle materials
Ductile materials
Edge rotations
Finite strains
topic Fracture
Quasi-brittle materials
Ductile materials
Edge rotations
Finite strains
description We propose an alternative, simpler algorithm for FEM-based computational fracture in brittle, quasi-brittle and ductile materials based on edge rotations. Rotation axes are the crack front edges (respectively nodes in surface discretizations) and each rotated edge affects the position of only one or two nodes. Modified positions of the entities minimize the difference between the predicted crack path (which depends on the specific propagation theory in use) and the edge or face orientation. The construction of all many-to-many relations between geometrical entities in a finite element code motivates operations on existing entities retaining most of the relations, in contrast with remeshing (even tip remeshing) and enrichment which alter the structure of the relations and introduce additional entities to the relation graph (in the case of XFEM, enriched elements which can be significantly different than classical FEM elements and still pose challenges for ductile fracture or large amplitude sliding). In this sense, the proposed solution has algorithmic and generality advantages. The propagation algorithm is simpler than the aforementioned alternatives and the approach is independent of the underlying element used for discretization. For history-dependent materials, there are still some transfer of relevant quantities between meshes. However, diffusion of results is more limited than with tip or full remeshing. To illustrate the advantages of our approach, two prototype models are used: tip energy dissipation (LEFM) and cohesive-zone approaches. The Sutton crack path criterion is employed. Traditional fracture benchmarks and newly proposed verification tests are solved. These were found to be very good in terms of crack path and load/deflection accuracy.
publishDate 2013
dc.date.none.fl_str_mv 2013-09
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10316/27389
http://hdl.handle.net/10316/27389
https://doi.org/10.1016/j.engfracmech.2013.06.006
url http://hdl.handle.net/10316/27389
https://doi.org/10.1016/j.engfracmech.2013.06.006
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv AREIAS, P.; RABCZUK, T.; DIAS-DA-COSTA, D. - Element-wise fracture algorithm based on rotation of edges. "Engineering Fracture Mechanics". ISSN 0013-7944. Vol. 110 (2013) p. 113-137
0013-7944
http://www.sciencedirect.com/science/article/pii/S0013794413002373
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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