MICROMECHANICAL APPROACH TO VISCOELASTIC BEHAVIOR OF FRACTURED MEDIA
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Revista Interdisciplinar de Pesquisa em Engenharia |
Texto Completo: | https://periodicos.unb.br/index.php/ripe/article/view/21790 |
Resumo: | This paper presents a micromechanical approach to overall viscoelastic properties of randomly fractured media. Unlike cracks, fractures can be viewed as interfaces that are able to transfer efforts. Their specific behavior under shear and normal stresses is a fundamental component of the deformation and fracture in brittle materials such as geomaterials. Based on the implementation of the Mori-Tanaka linear homogenization scheme, the first part of the analysis is dedicated to derive close-form expressions for the homogenized elastic stiffness tensor of the fractured medium. The effective viscoelastic behavior is then assessed from the elastic homogenization in Laplace framework and making use of the correspondence principle. In this context, a specific procedure for performing the inverse of Carson-Laplace transform is developed, allowing for the analytical derivation of homogenized relaxation and creep tensors. It is shown that the viscoelastic behavior can generally be described by means of a generalized Maxwell rheological model. For practical implementation in structural analyses, an approximation of the effective behavior by a Burger”“like model is formulated in the last part of the paper. |
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MICROMECHANICAL APPROACH TO VISCOELASTIC BEHAVIOR OF FRACTURED MEDIAFractures. Micromechanics. Viscoelasticity.This paper presents a micromechanical approach to overall viscoelastic properties of randomly fractured media. Unlike cracks, fractures can be viewed as interfaces that are able to transfer efforts. Their specific behavior under shear and normal stresses is a fundamental component of the deformation and fracture in brittle materials such as geomaterials. Based on the implementation of the Mori-Tanaka linear homogenization scheme, the first part of the analysis is dedicated to derive close-form expressions for the homogenized elastic stiffness tensor of the fractured medium. The effective viscoelastic behavior is then assessed from the elastic homogenization in Laplace framework and making use of the correspondence principle. In this context, a specific procedure for performing the inverse of Carson-Laplace transform is developed, allowing for the analytical derivation of homogenized relaxation and creep tensors. It is shown that the viscoelastic behavior can generally be described by means of a generalized Maxwell rheological model. For practical implementation in structural analyses, an approximation of the effective behavior by a Burger”“like model is formulated in the last part of the paper.Programa de Pós-Graduação em Integridade de Materiais da Engenharia2017-02-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.unb.br/index.php/ripe/article/view/2179010.26512/ripe.v2i29.21790Revista Interdisciplinar de Pesquisa em Engenharia; Vol. 2 No. 29 (2016): SMART MATERIALS AND MULTISCALE MODELING OF MATERIALS AND STRUCTURES; 54-73Revista Interdisciplinar de Pesquisa em Engenharia; v. 2 n. 29 (2016): SMART MATERIALS AND MULTISCALE MODELING OF MATERIALS AND STRUCTURES; 54-732447-6102reponame:Revista Interdisciplinar de Pesquisa em Engenhariainstname:Universidade de Brasília (UnB)instacron:UNBenghttps://periodicos.unb.br/index.php/ripe/article/view/21790/20091Copyright (c) 2019 Revista Interdisciplinar de Pesquisa em Engenharia - RIPEinfo:eu-repo/semantics/openAccessAguiar, CássioMaghous, Samir2019-06-18T16:04:37Zoai:ojs.pkp.sfu.ca:article/21790Revistahttps://periodicos.unb.br/index.php/ripePUBhttps://periodicos.unb.br/index.php/ripe/oaianflor@unb.br2447-61022447-6102opendoar:2019-06-18T16:04:37Revista Interdisciplinar de Pesquisa em Engenharia - Universidade de Brasília (UnB)false |
dc.title.none.fl_str_mv |
MICROMECHANICAL APPROACH TO VISCOELASTIC BEHAVIOR OF FRACTURED MEDIA |
title |
MICROMECHANICAL APPROACH TO VISCOELASTIC BEHAVIOR OF FRACTURED MEDIA |
spellingShingle |
MICROMECHANICAL APPROACH TO VISCOELASTIC BEHAVIOR OF FRACTURED MEDIA Aguiar, Cássio Fractures. Micromechanics. Viscoelasticity. |
title_short |
MICROMECHANICAL APPROACH TO VISCOELASTIC BEHAVIOR OF FRACTURED MEDIA |
title_full |
MICROMECHANICAL APPROACH TO VISCOELASTIC BEHAVIOR OF FRACTURED MEDIA |
title_fullStr |
MICROMECHANICAL APPROACH TO VISCOELASTIC BEHAVIOR OF FRACTURED MEDIA |
title_full_unstemmed |
MICROMECHANICAL APPROACH TO VISCOELASTIC BEHAVIOR OF FRACTURED MEDIA |
title_sort |
MICROMECHANICAL APPROACH TO VISCOELASTIC BEHAVIOR OF FRACTURED MEDIA |
author |
Aguiar, Cássio |
author_facet |
Aguiar, Cássio Maghous, Samir |
author_role |
author |
author2 |
Maghous, Samir |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Aguiar, Cássio Maghous, Samir |
dc.subject.por.fl_str_mv |
Fractures. Micromechanics. Viscoelasticity. |
topic |
Fractures. Micromechanics. Viscoelasticity. |
description |
This paper presents a micromechanical approach to overall viscoelastic properties of randomly fractured media. Unlike cracks, fractures can be viewed as interfaces that are able to transfer efforts. Their specific behavior under shear and normal stresses is a fundamental component of the deformation and fracture in brittle materials such as geomaterials. Based on the implementation of the Mori-Tanaka linear homogenization scheme, the first part of the analysis is dedicated to derive close-form expressions for the homogenized elastic stiffness tensor of the fractured medium. The effective viscoelastic behavior is then assessed from the elastic homogenization in Laplace framework and making use of the correspondence principle. In this context, a specific procedure for performing the inverse of Carson-Laplace transform is developed, allowing for the analytical derivation of homogenized relaxation and creep tensors. It is shown that the viscoelastic behavior can generally be described by means of a generalized Maxwell rheological model. For practical implementation in structural analyses, an approximation of the effective behavior by a Burger”“like model is formulated in the last part of the paper. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-02-10 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://periodicos.unb.br/index.php/ripe/article/view/21790 10.26512/ripe.v2i29.21790 |
url |
https://periodicos.unb.br/index.php/ripe/article/view/21790 |
identifier_str_mv |
10.26512/ripe.v2i29.21790 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
https://periodicos.unb.br/index.php/ripe/article/view/21790/20091 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2019 Revista Interdisciplinar de Pesquisa em Engenharia - RIPE info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2019 Revista Interdisciplinar de Pesquisa em Engenharia - RIPE |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Programa de Pós-Graduação em Integridade de Materiais da Engenharia |
publisher.none.fl_str_mv |
Programa de Pós-Graduação em Integridade de Materiais da Engenharia |
dc.source.none.fl_str_mv |
Revista Interdisciplinar de Pesquisa em Engenharia; Vol. 2 No. 29 (2016): SMART MATERIALS AND MULTISCALE MODELING OF MATERIALS AND STRUCTURES; 54-73 Revista Interdisciplinar de Pesquisa em Engenharia; v. 2 n. 29 (2016): SMART MATERIALS AND MULTISCALE MODELING OF MATERIALS AND STRUCTURES; 54-73 2447-6102 reponame:Revista Interdisciplinar de Pesquisa em Engenharia instname:Universidade de Brasília (UnB) instacron:UNB |
instname_str |
Universidade de Brasília (UnB) |
instacron_str |
UNB |
institution |
UNB |
reponame_str |
Revista Interdisciplinar de Pesquisa em Engenharia |
collection |
Revista Interdisciplinar de Pesquisa em Engenharia |
repository.name.fl_str_mv |
Revista Interdisciplinar de Pesquisa em Engenharia - Universidade de Brasília (UnB) |
repository.mail.fl_str_mv |
anflor@unb.br |
_version_ |
1798315227086848000 |