Modelling masonry with limit analysis finite elements : review, applications and new directions
Autor(a) principal: | |
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Data de Publicação: | 2007 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/1822/9163 |
Resumo: | The mechanics of masonry structures have been for long underdeveloped in comparison with other fields of knowledge. Presently, non-linear analysis is a popular field in masonry research and homogenization techniques play a major role, despite the mathematical and conceptual difficulties inherent to the approach. Here, a simple micro-mechanical model for the homogenized limit analysis of masonry is reviewed. Assuming brickwork under plane stress condition and adopting a polynomial expansion for the stress field, a linear optimization problem is derived on the elementary cell in order to recover the homogenized failure surface of the brickwork. The implementation of the homogenized failure surfaces for inplane and out-of-plane behaviour in a finite element limit analysis code is addressed. Relevant structural examples are treated with particular emphasis on the upper bound method, and are compared with competing approaches. Finally, the aspects of reliability and safety of masonry structures are discussed using the proposed modelling strategy. |
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Modelling masonry with limit analysis finite elements : review, applications and new directionsMasonryLimit analysisConstitutive behaviorHomogenization techniquesThe mechanics of masonry structures have been for long underdeveloped in comparison with other fields of knowledge. Presently, non-linear analysis is a popular field in masonry research and homogenization techniques play a major role, despite the mathematical and conceptual difficulties inherent to the approach. Here, a simple micro-mechanical model for the homogenized limit analysis of masonry is reviewed. Assuming brickwork under plane stress condition and adopting a polynomial expansion for the stress field, a linear optimization problem is derived on the elementary cell in order to recover the homogenized failure surface of the brickwork. The implementation of the homogenized failure surfaces for inplane and out-of-plane behaviour in a finite element limit analysis code is addressed. Relevant structural examples are treated with particular emphasis on the upper bound method, and are compared with competing approaches. Finally, the aspects of reliability and safety of masonry structures are discussed using the proposed modelling strategy.Saxe-Coburg PublicationsUniversidade do MinhoLourenço, Paulo B.Milani, G.20072007-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/9163engTOPPING, B. H. V. ed. lit. – “Civil Engineering Computations : Tools and Techniques”. Stirling : Saxe Coburg Publications, 2007. ISBN 978-1-874672-32. p. 217-242.978-1-874672-32info: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:RCAAP2023-07-21T12:03:18Zoai:repositorium.sdum.uminho.pt:1822/9163Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:53:23.976157Repositório 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 |
Modelling masonry with limit analysis finite elements : review, applications and new directions |
title |
Modelling masonry with limit analysis finite elements : review, applications and new directions |
spellingShingle |
Modelling masonry with limit analysis finite elements : review, applications and new directions Lourenço, Paulo B. Masonry Limit analysis Constitutive behavior Homogenization techniques |
title_short |
Modelling masonry with limit analysis finite elements : review, applications and new directions |
title_full |
Modelling masonry with limit analysis finite elements : review, applications and new directions |
title_fullStr |
Modelling masonry with limit analysis finite elements : review, applications and new directions |
title_full_unstemmed |
Modelling masonry with limit analysis finite elements : review, applications and new directions |
title_sort |
Modelling masonry with limit analysis finite elements : review, applications and new directions |
author |
Lourenço, Paulo B. |
author_facet |
Lourenço, Paulo B. Milani, G. |
author_role |
author |
author2 |
Milani, G. |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade do Minho |
dc.contributor.author.fl_str_mv |
Lourenço, Paulo B. Milani, G. |
dc.subject.por.fl_str_mv |
Masonry Limit analysis Constitutive behavior Homogenization techniques |
topic |
Masonry Limit analysis Constitutive behavior Homogenization techniques |
description |
The mechanics of masonry structures have been for long underdeveloped in comparison with other fields of knowledge. Presently, non-linear analysis is a popular field in masonry research and homogenization techniques play a major role, despite the mathematical and conceptual difficulties inherent to the approach. Here, a simple micro-mechanical model for the homogenized limit analysis of masonry is reviewed. Assuming brickwork under plane stress condition and adopting a polynomial expansion for the stress field, a linear optimization problem is derived on the elementary cell in order to recover the homogenized failure surface of the brickwork. The implementation of the homogenized failure surfaces for inplane and out-of-plane behaviour in a finite element limit analysis code is addressed. Relevant structural examples are treated with particular emphasis on the upper bound method, and are compared with competing approaches. Finally, the aspects of reliability and safety of masonry structures are discussed using the proposed modelling strategy. |
publishDate |
2007 |
dc.date.none.fl_str_mv |
2007 2007-01-01T00:00:00Z |
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/1822/9163 |
url |
http://hdl.handle.net/1822/9163 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
TOPPING, B. H. V. ed. lit. – “Civil Engineering Computations : Tools and Techniques”. Stirling : Saxe Coburg Publications, 2007. ISBN 978-1-874672-32. p. 217-242. 978-1-874672-32 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Saxe-Coburg Publications |
publisher.none.fl_str_mv |
Saxe-Coburg Publications |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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 |
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1799132312919605248 |