CONFORMING FINITE ELEMENTS WITH EMBEDDED STRONG DISCONTINUITIES
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Outros Autores: | , , |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10174/8027 |
Resumo: | The possibility of embedding strong discontinuities into finite elements allowed the simulation of different problems, namely, brickwork masonry fracture, dynamic fracture, failure in finite strain problems and simulation of reinforcement concrete members. However, despite the significant contributions to this field, a general embedded formulation capable of dealing with strong discontinuities using conforming finite elements is still missing. Therefore a new conforming embedded formulation is herein proposed and compared with other relevant formulations, namely the Generalised Strong Discontinuity Approach (GSDA) [1] and the Generalised/Extended Finite Element Method (GFEM/XFEM) [2-5]. Academic and structural examples are given in order to illustrate the capabilities of the proposed approach in comparison with GSDA and GFEM/XFEM. In summary, the proposed formulation has the following properties: i) variational consistency; ii) no limitations on the choice of the parent finite element; iii) comprehensive kinematics of the discontinuity, including both rigid body motion and stretching; iv) fully compatible enhanced kinematic field; v) additional degrees of freedom located at the discontinuity; vi) continuity of both jumps and tractions across element boundaries; and vii) stress locking free. |
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CONFORMING FINITE ELEMENTS WITH EMBEDDED STRONG DISCONTINUITIESFractureDiscontinuitiesEmbeddedThe possibility of embedding strong discontinuities into finite elements allowed the simulation of different problems, namely, brickwork masonry fracture, dynamic fracture, failure in finite strain problems and simulation of reinforcement concrete members. However, despite the significant contributions to this field, a general embedded formulation capable of dealing with strong discontinuities using conforming finite elements is still missing. Therefore a new conforming embedded formulation is herein proposed and compared with other relevant formulations, namely the Generalised Strong Discontinuity Approach (GSDA) [1] and the Generalised/Extended Finite Element Method (GFEM/XFEM) [2-5]. Academic and structural examples are given in order to illustrate the capabilities of the proposed approach in comparison with GSDA and GFEM/XFEM. In summary, the proposed formulation has the following properties: i) variational consistency; ii) no limitations on the choice of the parent finite element; iii) comprehensive kinematics of the discontinuity, including both rigid body motion and stretching; iv) fully compatible enhanced kinematic field; v) additional degrees of freedom located at the discontinuity; vi) continuity of both jumps and tractions across element boundaries; and vii) stress locking free.2013-01-30T12:12:17Z2013-01-302012-09-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjecthttp://hdl.handle.net/10174/8027http://hdl.handle.net/10174/8027engsimnaonaodcosta@dec.uc.ptalfaiate@civil.ist.utl.ptL.J.Sluys@tudelft.nlpmaa@uevora.ptDias da Costa, DanielAlfaiate, JorgeSluys, BertAreias, Pedroinfo: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:RCAAP2024-01-03T18:48:53Zoai:dspace.uevora.pt:10174/8027Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:02:29.383586Repositório 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 |
CONFORMING FINITE ELEMENTS WITH EMBEDDED STRONG DISCONTINUITIES |
title |
CONFORMING FINITE ELEMENTS WITH EMBEDDED STRONG DISCONTINUITIES |
spellingShingle |
CONFORMING FINITE ELEMENTS WITH EMBEDDED STRONG DISCONTINUITIES Dias da Costa, Daniel Fracture Discontinuities Embedded |
title_short |
CONFORMING FINITE ELEMENTS WITH EMBEDDED STRONG DISCONTINUITIES |
title_full |
CONFORMING FINITE ELEMENTS WITH EMBEDDED STRONG DISCONTINUITIES |
title_fullStr |
CONFORMING FINITE ELEMENTS WITH EMBEDDED STRONG DISCONTINUITIES |
title_full_unstemmed |
CONFORMING FINITE ELEMENTS WITH EMBEDDED STRONG DISCONTINUITIES |
title_sort |
CONFORMING FINITE ELEMENTS WITH EMBEDDED STRONG DISCONTINUITIES |
author |
Dias da Costa, Daniel |
author_facet |
Dias da Costa, Daniel Alfaiate, Jorge Sluys, Bert Areias, Pedro |
author_role |
author |
author2 |
Alfaiate, Jorge Sluys, Bert Areias, Pedro |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Dias da Costa, Daniel Alfaiate, Jorge Sluys, Bert Areias, Pedro |
dc.subject.por.fl_str_mv |
Fracture Discontinuities Embedded |
topic |
Fracture Discontinuities Embedded |
description |
The possibility of embedding strong discontinuities into finite elements allowed the simulation of different problems, namely, brickwork masonry fracture, dynamic fracture, failure in finite strain problems and simulation of reinforcement concrete members. However, despite the significant contributions to this field, a general embedded formulation capable of dealing with strong discontinuities using conforming finite elements is still missing. Therefore a new conforming embedded formulation is herein proposed and compared with other relevant formulations, namely the Generalised Strong Discontinuity Approach (GSDA) [1] and the Generalised/Extended Finite Element Method (GFEM/XFEM) [2-5]. Academic and structural examples are given in order to illustrate the capabilities of the proposed approach in comparison with GSDA and GFEM/XFEM. In summary, the proposed formulation has the following properties: i) variational consistency; ii) no limitations on the choice of the parent finite element; iii) comprehensive kinematics of the discontinuity, including both rigid body motion and stretching; iv) fully compatible enhanced kinematic field; v) additional degrees of freedom located at the discontinuity; vi) continuity of both jumps and tractions across element boundaries; and vii) stress locking free. |
publishDate |
2012 |
dc.date.none.fl_str_mv |
2012-09-01T00:00:00Z 2013-01-30T12:12:17Z 2013-01-30 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
format |
conferenceObject |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10174/8027 http://hdl.handle.net/10174/8027 |
url |
http://hdl.handle.net/10174/8027 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
sim nao nao dcosta@dec.uc.pt alfaiate@civil.ist.utl.pt L.J.Sluys@tudelft.nl pmaa@uevora.pt |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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