Damage models for the micromorphic continuum
Autor(a) principal: | |
---|---|
Data de Publicação: | 2021 |
Tipo de documento: | Dissertação |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFMG |
Texto Completo: | http://hdl.handle.net/1843/44064 https://orcid.org/ 0000-0003-2203-6138 |
Resumo: | Numerous materials, although they appear macroscopically homogeneous, usually presents a heterogeneous microstructure that directly influences the structural behavior. The phenomenological approach pursued in the classical continuum mechanics does not individually accounts for this influence, specially in cases where the structure or the specimen under analysis is small compared to its microstructure. Within the framework of continuum mechanics, so-called generalized continuum theories are particularly suited to deal with the above issues incorporating the microstructural behavior on the formulation. The micromorphic theory is included in this general class of generalized continua and, more specifically, in the group that incorporates additional degrees of freedom to the material particles. Another aspect of generalized continua is its ability to address the issue of localization in quasi-brittle material modeled as elastic-degrading media as a result of its nonlocal character. In order to allow the representation of quasi-brittle media with the micromorphic continuum theory, this work formulates scalar-isotropic damage models for a micromorphic continuum in the constitutive models framework of the INSANE system, initially conceived for classic media and later expanded for the micropolar continuum. In order to represent heterogeneous media, the take-and-place algorithm for the microstructure generation associated to a homogenization strategy is proposed. The computational implementations are based on a tensorial format of a unified constitutive models formulation applying a compact tensorial representation for the micromorphic continuum, and a homogenization technique to obtain the micromorphic constitutive relations. Simulations were conducted in order to attest the implemented constitutive models as well as for studying the influence on the material and structural behavior of the heterogeneity introduction. The obtained results verify the proposed hypotheses and the conducted implementations, providing the basis for non-linear analysis of homogeneous and inhomogeneous micromorphic media and allowing possible further research on the topic. |
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Roque Luiz da Silva Pitangueirahttp://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4793449A2Leandro Lopes da SilvaSamuel Silva PennaLapo GoriEduardo Nobre Lageshttp://lattes.cnpq.br/2841262799832535Pâmela Daniela Nogueira Reges2022-08-08T19:02:00Z2022-08-08T19:02:00Z2021-05-14http://hdl.handle.net/1843/44064https://orcid.org/ 0000-0003-2203-6138Numerous materials, although they appear macroscopically homogeneous, usually presents a heterogeneous microstructure that directly influences the structural behavior. The phenomenological approach pursued in the classical continuum mechanics does not individually accounts for this influence, specially in cases where the structure or the specimen under analysis is small compared to its microstructure. Within the framework of continuum mechanics, so-called generalized continuum theories are particularly suited to deal with the above issues incorporating the microstructural behavior on the formulation. The micromorphic theory is included in this general class of generalized continua and, more specifically, in the group that incorporates additional degrees of freedom to the material particles. Another aspect of generalized continua is its ability to address the issue of localization in quasi-brittle material modeled as elastic-degrading media as a result of its nonlocal character. In order to allow the representation of quasi-brittle media with the micromorphic continuum theory, this work formulates scalar-isotropic damage models for a micromorphic continuum in the constitutive models framework of the INSANE system, initially conceived for classic media and later expanded for the micropolar continuum. In order to represent heterogeneous media, the take-and-place algorithm for the microstructure generation associated to a homogenization strategy is proposed. The computational implementations are based on a tensorial format of a unified constitutive models formulation applying a compact tensorial representation for the micromorphic continuum, and a homogenization technique to obtain the micromorphic constitutive relations. Simulations were conducted in order to attest the implemented constitutive models as well as for studying the influence on the material and structural behavior of the heterogeneity introduction. The obtained results verify the proposed hypotheses and the conducted implementations, providing the basis for non-linear analysis of homogeneous and inhomogeneous micromorphic media and allowing possible further research on the topic.Numerosos materiais, embora pareçam macroscopicamente homogêneos, geralmente apresentam uma microestrutura heterogênea que influencia diretamente o comportamento estrutural. A abordagem fenomenológica adotada na mecânica contínua clássica não contabiliza essa influência, especialmente nos casos em que a estrutura em análise é pequena em comparação com sua microestrutura. Dentro do campo da mecânica do contínuo, as chamadas teorias de contínuos generalizados são particularmente adequadas para lidar com as questões acima apresentadas, incorporando o comportamento microestrutural na formulação. A teoria micromórfica está incluída nesta classe geral de contínuos generalizados e, mais especificamente, no grupo que incorpora graus adicionais de liberdade às partículas materiais. Outro aspecto dos contínuos generalizados é sua capacidade de abordar a questão da localização de deformações em materiais parcialmente frágeis modelados por meio de modelos de degradação elástica como resultado de seu caráter não-local. A fim de permitir a representação de meios parcialmente frágeis com a teoria do contínuo micromórfico, este trabalho visa formular modelos de dano escalar-isotrópico para um contínuo micromórfico no framework de modelos constitutivos do sistema INSANE, inicialmente concebido para um meio clássico e depois expandido para o contínuo micropolar. Esta implementação será baseada no formato tensorial de uma formulação unificada de modelos constitutivos aplicando uma representação tensorial compacta e técnicas de homogeneização para obter as relações constitutivas micromórficas.CNPq - Conselho Nacional de Desenvolvimento Científico e TecnológicoCAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível SuperiorengUniversidade Federal de Minas GeraisPrograma de Pós-Graduação em Engenharia de EstruturasUFMGBrasilENG - DEPARTAMENTO DE ENGENHARIA ESTRUTURASEngenharia de estruturasMecânica do dano continuoMicromorphic continuum theoryContinuum damage mechanicsElasticdegrading constitutive modelsHeterogeneous mediaQuasi-brittle materialsINSANE systemDamage models for the micromorphic continuumModelos de dano para o contínuo micromórficoinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFMGinstname:Universidade Federal de Minas Gerais (UFMG)instacron:UFMGORIGINALDissertacaoPamelaNogueira-Rev.01.pdfDissertacaoPamelaNogueira-Rev.01.pdfapplication/pdf8537975https://repositorio.ufmg.br/bitstream/1843/44064/5/DissertacaoPamelaNogueira-Rev.01.pdfb796e30f3b1994ce375ddef1099cedb3MD55LICENSElicense.txtlicense.txttext/plain; charset=utf-82118https://repositorio.ufmg.br/bitstream/1843/44064/6/license.txtcda590c95a0b51b4d15f60c9642ca272MD561843/440642022-08-08 16:02:00.896oai:repositorio.ufmg.br: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ório de PublicaçõesPUBhttps://repositorio.ufmg.br/oaiopendoar:2022-08-08T19:02Repositório Institucional da UFMG - Universidade Federal de Minas Gerais (UFMG)false |
dc.title.pt_BR.fl_str_mv |
Damage models for the micromorphic continuum |
dc.title.alternative.pt_BR.fl_str_mv |
Modelos de dano para o contínuo micromórfico |
title |
Damage models for the micromorphic continuum |
spellingShingle |
Damage models for the micromorphic continuum Pâmela Daniela Nogueira Reges Micromorphic continuum theory Continuum damage mechanics Elasticdegrading constitutive models Heterogeneous media Quasi-brittle materials INSANE system Engenharia de estruturas Mecânica do dano continuo |
title_short |
Damage models for the micromorphic continuum |
title_full |
Damage models for the micromorphic continuum |
title_fullStr |
Damage models for the micromorphic continuum |
title_full_unstemmed |
Damage models for the micromorphic continuum |
title_sort |
Damage models for the micromorphic continuum |
author |
Pâmela Daniela Nogueira Reges |
author_facet |
Pâmela Daniela Nogueira Reges |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Roque Luiz da Silva Pitangueira |
dc.contributor.advisor1Lattes.fl_str_mv |
http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4793449A2 |
dc.contributor.advisor-co1.fl_str_mv |
Leandro Lopes da Silva |
dc.contributor.referee1.fl_str_mv |
Samuel Silva Penna |
dc.contributor.referee2.fl_str_mv |
Lapo Gori |
dc.contributor.referee3.fl_str_mv |
Eduardo Nobre Lages |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/2841262799832535 |
dc.contributor.author.fl_str_mv |
Pâmela Daniela Nogueira Reges |
contributor_str_mv |
Roque Luiz da Silva Pitangueira Leandro Lopes da Silva Samuel Silva Penna Lapo Gori Eduardo Nobre Lages |
dc.subject.por.fl_str_mv |
Micromorphic continuum theory Continuum damage mechanics Elasticdegrading constitutive models Heterogeneous media Quasi-brittle materials INSANE system |
topic |
Micromorphic continuum theory Continuum damage mechanics Elasticdegrading constitutive models Heterogeneous media Quasi-brittle materials INSANE system Engenharia de estruturas Mecânica do dano continuo |
dc.subject.other.pt_BR.fl_str_mv |
Engenharia de estruturas Mecânica do dano continuo |
description |
Numerous materials, although they appear macroscopically homogeneous, usually presents a heterogeneous microstructure that directly influences the structural behavior. The phenomenological approach pursued in the classical continuum mechanics does not individually accounts for this influence, specially in cases where the structure or the specimen under analysis is small compared to its microstructure. Within the framework of continuum mechanics, so-called generalized continuum theories are particularly suited to deal with the above issues incorporating the microstructural behavior on the formulation. The micromorphic theory is included in this general class of generalized continua and, more specifically, in the group that incorporates additional degrees of freedom to the material particles. Another aspect of generalized continua is its ability to address the issue of localization in quasi-brittle material modeled as elastic-degrading media as a result of its nonlocal character. In order to allow the representation of quasi-brittle media with the micromorphic continuum theory, this work formulates scalar-isotropic damage models for a micromorphic continuum in the constitutive models framework of the INSANE system, initially conceived for classic media and later expanded for the micropolar continuum. In order to represent heterogeneous media, the take-and-place algorithm for the microstructure generation associated to a homogenization strategy is proposed. The computational implementations are based on a tensorial format of a unified constitutive models formulation applying a compact tensorial representation for the micromorphic continuum, and a homogenization technique to obtain the micromorphic constitutive relations. Simulations were conducted in order to attest the implemented constitutive models as well as for studying the influence on the material and structural behavior of the heterogeneity introduction. The obtained results verify the proposed hypotheses and the conducted implementations, providing the basis for non-linear analysis of homogeneous and inhomogeneous micromorphic media and allowing possible further research on the topic. |
publishDate |
2021 |
dc.date.issued.fl_str_mv |
2021-05-14 |
dc.date.accessioned.fl_str_mv |
2022-08-08T19:02:00Z |
dc.date.available.fl_str_mv |
2022-08-08T19:02:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
format |
masterThesis |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/1843/44064 |
dc.identifier.orcid.pt_BR.fl_str_mv |
https://orcid.org/ 0000-0003-2203-6138 |
url |
http://hdl.handle.net/1843/44064 https://orcid.org/ 0000-0003-2203-6138 |
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.publisher.none.fl_str_mv |
Universidade Federal de Minas Gerais |
dc.publisher.program.fl_str_mv |
Programa de Pós-Graduação em Engenharia de Estruturas |
dc.publisher.initials.fl_str_mv |
UFMG |
dc.publisher.country.fl_str_mv |
Brasil |
dc.publisher.department.fl_str_mv |
ENG - DEPARTAMENTO DE ENGENHARIA ESTRUTURAS |
publisher.none.fl_str_mv |
Universidade Federal de Minas Gerais |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFMG instname:Universidade Federal de Minas Gerais (UFMG) instacron:UFMG |
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Universidade Federal de Minas Gerais (UFMG) |
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UFMG |
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UFMG |
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Repositório Institucional da UFMG |
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Repositório Institucional da UFMG |
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