Comportamentos reológicos de materiais macios usando modelagem no contínuo

Detalhes bibliográficos
Ano de defesa: 2024
Autor(a) principal: Costa, Damião Ferreira da Silva
Orientador(a): Oliveira, Cláudio Lucas Nunes de
Banca de defesa: Não Informado pela instituição
Tipo de documento: Tese
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Não Informado pela instituição
Programa de Pós-Graduação: Não Informado pela instituição
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
Área do conhecimento CNPq:
Link de acesso: http://repositorio.ufc.br/handle/riufc/78760
Resumo: This work presents an investigation into the rheological behavior of soft materials using the continuum approach and numerical simulation techniques through the Finite Element Method (FEM). The research was divided into two main parts: the first focused on nanoindentation tests to evaluate the finite size effect and the influence of substrate stiffness on the measurement of the elastic properties of viscoelastic and elastic samples. Three indenter geometries (conical, spherical, and cylindrical) were considered, indicating that the conical indenter provides more robust measurements, especially when analyzing variations in sample height and substrate stiffness. The second part of the study explored the influence of fractal surfaces, specifically the Koch curve, on determining the Young's modulus of elastic materials. Samples with fractal surfaces were simulated under two different configurations, referred to as Up and Down. The results showed that the presence of fractal surfaces can increase or decrease the obtained Young's modulus, especially in thinner samples that have fractal surfaces in the Up orientation. Additionally, it was observed that although stiffness and Young's modulus decrease with the increase in the sample's base length L, the influence of fractality remains constant. FEM is an effective tool for the numerical modeling of soft materials, allowing for detailed analysis of finite-size effects and surface complexity on the mechanical properties of such materials. This study provides important insights for experiment design and result interpretation in contexts where complex and rough surfaces are present. For future work, it is suggested that the simulations be expanded to three-dimensional geometries and phenomena such as drag force in deformable solids immersed in fluids be investigated.
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spelling Costa, Damião Ferreira da SilvaOliveira, Cláudio Lucas Nunes de2024-11-06T15:07:35Z2024-11-06T15:07:35Z2024COSTA, D. F. S. Comportamentos reológicos de materiais macios usando modelagem no contínuo. Tese (Doutorado em Física) - Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2024.http://repositorio.ufc.br/handle/riufc/78760This work presents an investigation into the rheological behavior of soft materials using the continuum approach and numerical simulation techniques through the Finite Element Method (FEM). The research was divided into two main parts: the first focused on nanoindentation tests to evaluate the finite size effect and the influence of substrate stiffness on the measurement of the elastic properties of viscoelastic and elastic samples. Three indenter geometries (conical, spherical, and cylindrical) were considered, indicating that the conical indenter provides more robust measurements, especially when analyzing variations in sample height and substrate stiffness. The second part of the study explored the influence of fractal surfaces, specifically the Koch curve, on determining the Young's modulus of elastic materials. Samples with fractal surfaces were simulated under two different configurations, referred to as Up and Down. The results showed that the presence of fractal surfaces can increase or decrease the obtained Young's modulus, especially in thinner samples that have fractal surfaces in the Up orientation. Additionally, it was observed that although stiffness and Young's modulus decrease with the increase in the sample's base length L, the influence of fractality remains constant. FEM is an effective tool for the numerical modeling of soft materials, allowing for detailed analysis of finite-size effects and surface complexity on the mechanical properties of such materials. This study provides important insights for experiment design and result interpretation in contexts where complex and rough surfaces are present. For future work, it is suggested that the simulations be expanded to three-dimensional geometries and phenomena such as drag force in deformable solids immersed in fluids be investigated.Este trabalho apresenta uma investigação sobre o comportamento reológico de materiais macios utilizando a abordagem do contínuo e técnicas de simulação numérica através do Método dos Elementos Finitos (MEF). A pesquisa foi dividida em duas partes principais: a primeira focou em testes de nanoindentação para avaliar o efeito de tamanho finito e a influência da rigidez do substrato na medição das propriedades elásticas de amostras viscoelásticas e elásticas. Três geometrias de indentadores (cônico, esférico e cilíndrico) foram consideradas, com resultados indicando que o indentador cônico fornece medidas mais robustas, especialmente quando se analisam variações na altura das amostras e na rigidez do substrato. A segunda parte do estudo explorou a influência de superfícies fractais, especificamente a curva de Koch, na determinação do módulo de Young de materiais elásticos. Foram simuladas amostras com superfícies fractais sob duas configurações diferentes, denominadas Up e Down. Os resultados mostraram que a presença de superfícies fractais pode aumentar ou diminuir o módulo de Young obtido, especialmente em amostras mais finas que possuem superfícies fractais na orientação Up. Além disso, foi observado que, embora a rigidez e o módulo de Young diminuam com o aumento do comprimento da base L da amostra, a influência da fractalidade permanece constante. O MEF é uma ferramenta eficaz para a modelagem numérica de materiais macios, permitindo uma análise detalhada dos efeitos de tamanho finito e da complexidade da superfície nas propriedades mecânicas de tais materiais. Este estudo oferece informações importantes para a montagem de experimentos e a interpretação de resultados em contextos onde superfícies complexas e rugosas estão presentes. Para trabalhos futuros, sugere-se a expansão das simulações para geometrias tridimensionais e a investigação do efeito da força de arrasto em sólidos deformáveis imersos em fluidos.Comportamentos reológicos de materiais macios usando modelagem no contínuoinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisMétodo dos elementos finitosMecânica dos sólidosReologiaMódulo de YoungEfeitos de bordaFinite Element MethodSolid MechanicsRheologyYoung’s ModulusEdge EffectsCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::FISICA DA MATERIA CONDENSADAinfo:eu-repo/semantics/openAccessporreponame:Repositório Institucional da Universidade Federal do Ceará (UFC)instname:Universidade Federal do Ceará (UFC)instacron:UFC2024LICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://repositorio.ufc.br/bitstream/riufc/78760/8/license.txt8a4605be74aa9ea9d79846c1fba20a33MD58ORIGINAL2024_tese_dfscosta.pdf2024_tese_dfscosta.pdfapplication/pdf16154102http://repositorio.ufc.br/bitstream/riufc/78760/9/2024_tese_dfscosta.pdf4b0ffbd6ab1e9ea0bd89a90ac6825d10MD59riufc/787602024-11-06 12:08:44.949oai:repositorio.ufc.br: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Repositório InstitucionalPUBhttp://www.repositorio.ufc.br/ri-oai/requestbu@ufc.br || repositorio@ufc.bropendoar:2024-11-06T15:08:44Repositório Institucional da Universidade Federal do Ceará (UFC) - Universidade Federal do Ceará (UFC)false
dc.title.pt_BR.fl_str_mv Comportamentos reológicos de materiais macios usando modelagem no contínuo
title Comportamentos reológicos de materiais macios usando modelagem no contínuo
spellingShingle Comportamentos reológicos de materiais macios usando modelagem no contínuo
Costa, Damião Ferreira da Silva
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::FISICA DA MATERIA CONDENSADA
Método dos elementos finitos
Mecânica dos sólidos
Reologia
Módulo de Young
Efeitos de borda
Finite Element Method
Solid Mechanics
Rheology
Young’s Modulus
Edge Effects
title_short Comportamentos reológicos de materiais macios usando modelagem no contínuo
title_full Comportamentos reológicos de materiais macios usando modelagem no contínuo
title_fullStr Comportamentos reológicos de materiais macios usando modelagem no contínuo
title_full_unstemmed Comportamentos reológicos de materiais macios usando modelagem no contínuo
title_sort Comportamentos reológicos de materiais macios usando modelagem no contínuo
author Costa, Damião Ferreira da Silva
author_facet Costa, Damião Ferreira da Silva
author_role author
dc.contributor.author.fl_str_mv Costa, Damião Ferreira da Silva
dc.contributor.advisor1.fl_str_mv Oliveira, Cláudio Lucas Nunes de
contributor_str_mv Oliveira, Cláudio Lucas Nunes de
dc.subject.cnpq.fl_str_mv CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::FISICA DA MATERIA CONDENSADA
topic CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::FISICA DA MATERIA CONDENSADA
Método dos elementos finitos
Mecânica dos sólidos
Reologia
Módulo de Young
Efeitos de borda
Finite Element Method
Solid Mechanics
Rheology
Young’s Modulus
Edge Effects
dc.subject.ptbr.pt_BR.fl_str_mv Método dos elementos finitos
Mecânica dos sólidos
Reologia
Módulo de Young
Efeitos de borda
dc.subject.en.pt_BR.fl_str_mv Finite Element Method
Solid Mechanics
Rheology
Young’s Modulus
Edge Effects
description This work presents an investigation into the rheological behavior of soft materials using the continuum approach and numerical simulation techniques through the Finite Element Method (FEM). The research was divided into two main parts: the first focused on nanoindentation tests to evaluate the finite size effect and the influence of substrate stiffness on the measurement of the elastic properties of viscoelastic and elastic samples. Three indenter geometries (conical, spherical, and cylindrical) were considered, indicating that the conical indenter provides more robust measurements, especially when analyzing variations in sample height and substrate stiffness. The second part of the study explored the influence of fractal surfaces, specifically the Koch curve, on determining the Young's modulus of elastic materials. Samples with fractal surfaces were simulated under two different configurations, referred to as Up and Down. The results showed that the presence of fractal surfaces can increase or decrease the obtained Young's modulus, especially in thinner samples that have fractal surfaces in the Up orientation. Additionally, it was observed that although stiffness and Young's modulus decrease with the increase in the sample's base length L, the influence of fractality remains constant. FEM is an effective tool for the numerical modeling of soft materials, allowing for detailed analysis of finite-size effects and surface complexity on the mechanical properties of such materials. This study provides important insights for experiment design and result interpretation in contexts where complex and rough surfaces are present. For future work, it is suggested that the simulations be expanded to three-dimensional geometries and phenomena such as drag force in deformable solids immersed in fluids be investigated.
publishDate 2024
dc.date.accessioned.fl_str_mv 2024-11-06T15:07:35Z
dc.date.available.fl_str_mv 2024-11-06T15:07:35Z
dc.date.issued.fl_str_mv 2024
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv COSTA, D. F. S. Comportamentos reológicos de materiais macios usando modelagem no contínuo. Tese (Doutorado em Física) - Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2024.
dc.identifier.uri.fl_str_mv http://repositorio.ufc.br/handle/riufc/78760
identifier_str_mv COSTA, D. F. S. Comportamentos reológicos de materiais macios usando modelagem no contínuo. Tese (Doutorado em Física) - Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2024.
url http://repositorio.ufc.br/handle/riufc/78760
dc.language.iso.fl_str_mv por
language por
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.source.none.fl_str_mv reponame:Repositório Institucional da Universidade Federal do Ceará (UFC)
instname:Universidade Federal do Ceará (UFC)
instacron:UFC
instname_str Universidade Federal do Ceará (UFC)
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institution UFC
reponame_str Repositório Institucional da Universidade Federal do Ceará (UFC)
collection Repositório Institucional da Universidade Federal do Ceará (UFC)
bitstream.url.fl_str_mv http://repositorio.ufc.br/bitstream/riufc/78760/8/license.txt
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