Physical and geometric non-linear analysis using the finite difference method for one-dimensional consolidation problem.
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFOP |
Texto Completo: | http://www.repositorio.ufop.br/handle/123456789/12269 https://doi.org/10.1590/0370-44672017720187 |
Resumo: | This article presents a numerical model based on the finite difference method for the physical and geometric non-linear analysis of a one-dimensional consolidation problem regarding a saturated, homogeneous and isotropic soil layer with low permeability and high compressibility. The problem is formulated by adopting the void ratio as the primary variable, considering a Lagrangian movement description. The physical non linearity is introduced on the formulation by the constitutive law defined as effective stress and permeability void ratio functions. Based on this numerical model, a computational system named AC-3.0 was developed, which has been verified and validated in terms of the temporal variation of the void ratio distribution throughout the soil layer, by comparing the numerical results with analytical and numerical solutions found in literature for some specific scenarios. Knowing the void ration distribution,it is possible to obtain secondary variables such as: superficial settlement, effective stress and excess of pore water pressure.The importance of the non-linear formulation is highlighted for the analysis of problems related to material presenting high compression and a very high initial void ratio. |
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Pereira, Ronald DantasNogueira, Christianne de Lyra2020-05-27T14:38:53Z2020-05-27T14:38:53Z2019PEREIRA, R. D.; NOGUEIRA, C. de L. Physical and geometric non-linear analysis using the finite difference method for one-dimensional consolidation problem. REM - International Engineering Journal, Ouro Preto, v. 72, n. 2, p. 265-274, abr./jun. 2019. Disponível em: <http://www.scielo.br/scielo.php?script=sci_arttext&pid=S2448-167X2019000300265&lng=en&nrm=iso&tlng=en>. Acesso em: 10 mar. 2020.1807-0353http://www.repositorio.ufop.br/handle/123456789/12269https://doi.org/10.1590/0370-44672017720187This article presents a numerical model based on the finite difference method for the physical and geometric non-linear analysis of a one-dimensional consolidation problem regarding a saturated, homogeneous and isotropic soil layer with low permeability and high compressibility. The problem is formulated by adopting the void ratio as the primary variable, considering a Lagrangian movement description. The physical non linearity is introduced on the formulation by the constitutive law defined as effective stress and permeability void ratio functions. Based on this numerical model, a computational system named AC-3.0 was developed, which has been verified and validated in terms of the temporal variation of the void ratio distribution throughout the soil layer, by comparing the numerical results with analytical and numerical solutions found in literature for some specific scenarios. Knowing the void ration distribution,it is possible to obtain secondary variables such as: superficial settlement, effective stress and excess of pore water pressure.The importance of the non-linear formulation is highlighted for the analysis of problems related to material presenting high compression and a very high initial void ratio.A REM - International Engineering Journal - autoriza o depósito de cópia de artigos dos professores e alunos da UFOP no Repositório Institucional da UFOP. Licença concedida mediante preenchimento de formulário online em 12 set. 2013.info:eu-repo/semantics/openAccessLagrangian formulationPhysical non-linearitySelf-weight consolidation problemPhysical and geometric non-linear analysis using the finite difference method for one-dimensional consolidation problem.info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleengreponame:Repositório Institucional da UFOPinstname:Universidade Federal de Ouro Preto (UFOP)instacron:UFOPLICENSElicense.txtlicense.txttext/plain; charset=utf-8924http://www.repositorio.ufop.br/bitstream/123456789/12269/2/license.txt62604f8d955274beb56c80ce1ee5dcaeMD52ORIGINALARTIGO_PhysicalGeometricNonlinear.pdfARTIGO_PhysicalGeometricNonlinear.pdfapplication/pdf2248083http://www.repositorio.ufop.br/bitstream/123456789/12269/1/ARTIGO_PhysicalGeometricNonlinear.pdfea162474785030a40d65b9fb06efd85aMD51123456789/122692020-05-27 10:38:53.341oai:localhost: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ório InstitucionalPUBhttp://www.repositorio.ufop.br/oai/requestrepositorio@ufop.edu.bropendoar:32332020-05-27T14:38:53Repositório Institucional da UFOP - Universidade Federal de Ouro Preto (UFOP)false |
dc.title.pt_BR.fl_str_mv |
Physical and geometric non-linear analysis using the finite difference method for one-dimensional consolidation problem. |
title |
Physical and geometric non-linear analysis using the finite difference method for one-dimensional consolidation problem. |
spellingShingle |
Physical and geometric non-linear analysis using the finite difference method for one-dimensional consolidation problem. Pereira, Ronald Dantas Lagrangian formulation Physical non-linearity Self-weight consolidation problem |
title_short |
Physical and geometric non-linear analysis using the finite difference method for one-dimensional consolidation problem. |
title_full |
Physical and geometric non-linear analysis using the finite difference method for one-dimensional consolidation problem. |
title_fullStr |
Physical and geometric non-linear analysis using the finite difference method for one-dimensional consolidation problem. |
title_full_unstemmed |
Physical and geometric non-linear analysis using the finite difference method for one-dimensional consolidation problem. |
title_sort |
Physical and geometric non-linear analysis using the finite difference method for one-dimensional consolidation problem. |
author |
Pereira, Ronald Dantas |
author_facet |
Pereira, Ronald Dantas Nogueira, Christianne de Lyra |
author_role |
author |
author2 |
Nogueira, Christianne de Lyra |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Pereira, Ronald Dantas Nogueira, Christianne de Lyra |
dc.subject.por.fl_str_mv |
Lagrangian formulation Physical non-linearity Self-weight consolidation problem |
topic |
Lagrangian formulation Physical non-linearity Self-weight consolidation problem |
description |
This article presents a numerical model based on the finite difference method for the physical and geometric non-linear analysis of a one-dimensional consolidation problem regarding a saturated, homogeneous and isotropic soil layer with low permeability and high compressibility. The problem is formulated by adopting the void ratio as the primary variable, considering a Lagrangian movement description. The physical non linearity is introduced on the formulation by the constitutive law defined as effective stress and permeability void ratio functions. Based on this numerical model, a computational system named AC-3.0 was developed, which has been verified and validated in terms of the temporal variation of the void ratio distribution throughout the soil layer, by comparing the numerical results with analytical and numerical solutions found in literature for some specific scenarios. Knowing the void ration distribution,it is possible to obtain secondary variables such as: superficial settlement, effective stress and excess of pore water pressure.The importance of the non-linear formulation is highlighted for the analysis of problems related to material presenting high compression and a very high initial void ratio. |
publishDate |
2019 |
dc.date.issued.fl_str_mv |
2019 |
dc.date.accessioned.fl_str_mv |
2020-05-27T14:38:53Z |
dc.date.available.fl_str_mv |
2020-05-27T14:38:53Z |
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.citation.fl_str_mv |
PEREIRA, R. D.; NOGUEIRA, C. de L. Physical and geometric non-linear analysis using the finite difference method for one-dimensional consolidation problem. REM - International Engineering Journal, Ouro Preto, v. 72, n. 2, p. 265-274, abr./jun. 2019. Disponível em: <http://www.scielo.br/scielo.php?script=sci_arttext&pid=S2448-167X2019000300265&lng=en&nrm=iso&tlng=en>. Acesso em: 10 mar. 2020. |
dc.identifier.uri.fl_str_mv |
http://www.repositorio.ufop.br/handle/123456789/12269 |
dc.identifier.issn.none.fl_str_mv |
1807-0353 |
dc.identifier.doi.pt_BR.fl_str_mv |
https://doi.org/10.1590/0370-44672017720187 |
identifier_str_mv |
PEREIRA, R. D.; NOGUEIRA, C. de L. Physical and geometric non-linear analysis using the finite difference method for one-dimensional consolidation problem. REM - International Engineering Journal, Ouro Preto, v. 72, n. 2, p. 265-274, abr./jun. 2019. Disponível em: <http://www.scielo.br/scielo.php?script=sci_arttext&pid=S2448-167X2019000300265&lng=en&nrm=iso&tlng=en>. Acesso em: 10 mar. 2020. 1807-0353 |
url |
http://www.repositorio.ufop.br/handle/123456789/12269 https://doi.org/10.1590/0370-44672017720187 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
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info:eu-repo/semantics/openAccess |
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openAccess |
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reponame:Repositório Institucional da UFOP instname:Universidade Federal de Ouro Preto (UFOP) instacron:UFOP |
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Repositório Institucional da UFOP - Universidade Federal de Ouro Preto (UFOP) |
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