Discrete layer finite element modeling of anisotropic laminated shells based on a refined semi - inverse mixed displacement field formulation
Autor(a) principal: | |
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Data de Publicação: | 2006 |
Outros Autores: | |
Tipo de documento: | Livro |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | https://hdl.handle.net/10216/69575 |
Resumo: | This paper concerns the finite element (FE) modeling of anisotropic laminated shells. A discrete layer approach is employed in this work and a single layer is first considered and isolated from the multilayer shell structure. The weak form of the governing equations of the anisotropic single layer of the multilayer shell is derived with Hamiltons principle using a mixed (stresses/displacements) definition of the displacement field, which is obtained through a semi-inverse (stresses/strains-displacements) approach. Results from 3-D elasticity solutions are used to postulate adequate definitions of the out-of-plane shear stress components, which, in conjunction with the Reissner-Mindlin theory (or first order shear deformation theory) de- finitions of the shell in-plane stresses, are utilized to derive the mixed displacement field. Afterward, the single layer shell FE is regenerated to a 3-D form, which allows interlayer displacements and out-of-plane stresses continuity between adjacent interfaces of different layers to be imposed, and a multilayer shell FE is obtained by assembling, at an elemental FE level, all the regenerated single layer FE contributions. A fully refined shell theory, where displacement and full out-of-plane stresses continuity and homogeneous stress conditions on the top and bottom surfaces are assured, is conceptually proposed, and a partially refined shell theory, where the out-of-plane normal stress continuity is relaxed and a plane stress state is considered, is developed and used to derive a FE solution for segmented multilayer doubly-curved anisotropic shells. |
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Discrete layer finite element modeling of anisotropic laminated shells based on a refined semi - inverse mixed displacement field formulationEngenharia mecânica, Engenharia mecânicaMechanical engineering, Mechanical engineeringThis paper concerns the finite element (FE) modeling of anisotropic laminated shells. A discrete layer approach is employed in this work and a single layer is first considered and isolated from the multilayer shell structure. The weak form of the governing equations of the anisotropic single layer of the multilayer shell is derived with Hamiltons principle using a mixed (stresses/displacements) definition of the displacement field, which is obtained through a semi-inverse (stresses/strains-displacements) approach. Results from 3-D elasticity solutions are used to postulate adequate definitions of the out-of-plane shear stress components, which, in conjunction with the Reissner-Mindlin theory (or first order shear deformation theory) de- finitions of the shell in-plane stresses, are utilized to derive the mixed displacement field. Afterward, the single layer shell FE is regenerated to a 3-D form, which allows interlayer displacements and out-of-plane stresses continuity between adjacent interfaces of different layers to be imposed, and a multilayer shell FE is obtained by assembling, at an elemental FE level, all the regenerated single layer FE contributions. A fully refined shell theory, where displacement and full out-of-plane stresses continuity and homogeneous stress conditions on the top and bottom surfaces are assured, is conceptually proposed, and a partially refined shell theory, where the out-of-plane normal stress continuity is relaxed and a plane stress state is considered, is developed and used to derive a FE solution for segmented multilayer doubly-curved anisotropic shells.20062006-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookapplication/pdfhttps://hdl.handle.net/10216/69575engC. M. A. VasquesJ. Dias Rodriguesinfo: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:RCAAP2023-11-29T15:58:36Zoai:repositorio-aberto.up.pt:10216/69575Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:36:02.837456Repositório 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 |
Discrete layer finite element modeling of anisotropic laminated shells based on a refined semi - inverse mixed displacement field formulation |
title |
Discrete layer finite element modeling of anisotropic laminated shells based on a refined semi - inverse mixed displacement field formulation |
spellingShingle |
Discrete layer finite element modeling of anisotropic laminated shells based on a refined semi - inverse mixed displacement field formulation C. M. A. Vasques Engenharia mecânica, Engenharia mecânica Mechanical engineering, Mechanical engineering |
title_short |
Discrete layer finite element modeling of anisotropic laminated shells based on a refined semi - inverse mixed displacement field formulation |
title_full |
Discrete layer finite element modeling of anisotropic laminated shells based on a refined semi - inverse mixed displacement field formulation |
title_fullStr |
Discrete layer finite element modeling of anisotropic laminated shells based on a refined semi - inverse mixed displacement field formulation |
title_full_unstemmed |
Discrete layer finite element modeling of anisotropic laminated shells based on a refined semi - inverse mixed displacement field formulation |
title_sort |
Discrete layer finite element modeling of anisotropic laminated shells based on a refined semi - inverse mixed displacement field formulation |
author |
C. M. A. Vasques |
author_facet |
C. M. A. Vasques J. Dias Rodrigues |
author_role |
author |
author2 |
J. Dias Rodrigues |
author2_role |
author |
dc.contributor.author.fl_str_mv |
C. M. A. Vasques J. Dias Rodrigues |
dc.subject.por.fl_str_mv |
Engenharia mecânica, Engenharia mecânica Mechanical engineering, Mechanical engineering |
topic |
Engenharia mecânica, Engenharia mecânica Mechanical engineering, Mechanical engineering |
description |
This paper concerns the finite element (FE) modeling of anisotropic laminated shells. A discrete layer approach is employed in this work and a single layer is first considered and isolated from the multilayer shell structure. The weak form of the governing equations of the anisotropic single layer of the multilayer shell is derived with Hamiltons principle using a mixed (stresses/displacements) definition of the displacement field, which is obtained through a semi-inverse (stresses/strains-displacements) approach. Results from 3-D elasticity solutions are used to postulate adequate definitions of the out-of-plane shear stress components, which, in conjunction with the Reissner-Mindlin theory (or first order shear deformation theory) de- finitions of the shell in-plane stresses, are utilized to derive the mixed displacement field. Afterward, the single layer shell FE is regenerated to a 3-D form, which allows interlayer displacements and out-of-plane stresses continuity between adjacent interfaces of different layers to be imposed, and a multilayer shell FE is obtained by assembling, at an elemental FE level, all the regenerated single layer FE contributions. A fully refined shell theory, where displacement and full out-of-plane stresses continuity and homogeneous stress conditions on the top and bottom surfaces are assured, is conceptually proposed, and a partially refined shell theory, where the out-of-plane normal stress continuity is relaxed and a plane stress state is considered, is developed and used to derive a FE solution for segmented multilayer doubly-curved anisotropic shells. |
publishDate |
2006 |
dc.date.none.fl_str_mv |
2006 2006-01-01T00:00:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/book |
format |
book |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://hdl.handle.net/10216/69575 |
url |
https://hdl.handle.net/10216/69575 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
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.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 |
repository.mail.fl_str_mv |
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1799136269181124608 |