A Strategy for Solving the Non Symmetries Arising in Nonlinear Consolidation of Partially Saturated Soils

Autores
Di Rado, Hector Ariel; Beneyto, Pablo Alejandro; Mroginski, Javier Luis; Manzolillo, Juan Emilio
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The main scope of this paper is to present an alternative to tackle the problem of the non symmetries arising in the solution of the nonlinear couple consolidation problem based on a combination of different stress states. Being originally a non symmetric problem, it may be straightforward reduced to a symmetric one, and the conditions in which this reduction may be carried out, are addressed. Non linear saturation-suction and permeability-suction functions were regarded. The geometric model was developed considering an updated lagrangian description with a co-rotated Kirchhoff stress tensor. This description leads to a non-symmetric stiffness matrix and a simple alternative, using a symmetric constitutive matrix, is addressed to overcome this situation. The whole equation system was solved using an open finite element code FECCUND, developed by the authors. In order to validate the model, various examples, for which previous solutions are known, were solved. The use of either a strongly non linear and no symmetric formulation or a simple symmetric formulation with accurate prediction in deformation and pore-pressures is extremely dependent on the soil characteristic curves and on the shear efforts level, as well. A numerical example show the predictive capability of this geometrically non linear fully coupled model for attaining the proposed goal.
Fil: Di Rado, Hector Ariel. Universidad Nacional del Nordeste. Facultad de Ingeniería. Departamento de Mecanica Aplicada; Argentina
Fil: Beneyto, Pablo Alejandro. Universidad Nacional del Nordeste. Facultad de Ingeniería. Departamento de Mecanica Aplicada; Argentina
Fil: Mroginski, Javier Luis. Universidad Nacional del Nordeste. Facultad de Ingeniería. Departamento de Mecanica Aplicada; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Manzolillo, Juan Emilio. Universidad Nacional del Nordeste. Facultad de Ingeniería. Departamento de Mecanica Aplicada; Argentina
Materia
Hypoelastic Formulations
Finite Element Analysis
Non Saturated Soil Model
Saturation-Suction Relationship Introduction
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/37183
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A Strategy for Solving the Non Symmetries Arising in Nonlinear Consolidation of Partially Saturated SoilsDi Rado, Hector ArielBeneyto, Pablo AlejandroMroginski, Javier LuisManzolillo, Juan EmilioHypoelastic FormulationsFinite Element AnalysisNon Saturated Soil ModelSaturation-Suction Relationship Introductionhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The main scope of this paper is to present an alternative to tackle the problem of the non symmetries arising in the solution of the nonlinear couple consolidation problem based on a combination of different stress states. Being originally a non symmetric problem, it may be straightforward reduced to a symmetric one, and the conditions in which this reduction may be carried out, are addressed. Non linear saturation-suction and permeability-suction functions were regarded. The geometric model was developed considering an updated lagrangian description with a co-rotated Kirchhoff stress tensor. This description leads to a non-symmetric stiffness matrix and a simple alternative, using a symmetric constitutive matrix, is addressed to overcome this situation. The whole equation system was solved using an open finite element code FECCUND, developed by the authors. In order to validate the model, various examples, for which previous solutions are known, were solved. The use of either a strongly non linear and no symmetric formulation or a simple symmetric formulation with accurate prediction in deformation and pore-pressures is extremely dependent on the soil characteristic curves and on the shear efforts level, as well. A numerical example show the predictive capability of this geometrically non linear fully coupled model for attaining the proposed goal.Fil: Di Rado, Hector Ariel. Universidad Nacional del Nordeste. Facultad de Ingeniería. Departamento de Mecanica Aplicada; ArgentinaFil: Beneyto, Pablo Alejandro. Universidad Nacional del Nordeste. Facultad de Ingeniería. Departamento de Mecanica Aplicada; ArgentinaFil: Mroginski, Javier Luis. Universidad Nacional del Nordeste. Facultad de Ingeniería. Departamento de Mecanica Aplicada; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Manzolillo, Juan Emilio. Universidad Nacional del Nordeste. Facultad de Ingeniería. Departamento de Mecanica Aplicada; ArgentinaScience Publishing Group2015-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/37183Di Rado, Hector Ariel; Beneyto, Pablo Alejandro; Mroginski, Javier Luis; Manzolillo, Juan Emilio; A Strategy for Solving the Non Symmetries Arising in Nonlinear Consolidation of Partially Saturated Soils; Science Publishing Group; American Journal of Applied Mathematics; 3; 2; 2-2015; 31-352330-00432330-006XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencepublishinggroup.com/journal/paperinfo.aspx?journalid=148&doi=10.11648/j.ajam.20150302.11info:eu-repo/semantics/altIdentifier/doi/10.11648/j.ajam.20150302.11info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:33:21Zoai:ri.conicet.gov.ar:11336/37183instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:33:21.804CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A Strategy for Solving the Non Symmetries Arising in Nonlinear Consolidation of Partially Saturated Soils
title A Strategy for Solving the Non Symmetries Arising in Nonlinear Consolidation of Partially Saturated Soils
spellingShingle A Strategy for Solving the Non Symmetries Arising in Nonlinear Consolidation of Partially Saturated Soils
Di Rado, Hector Ariel
Hypoelastic Formulations
Finite Element Analysis
Non Saturated Soil Model
Saturation-Suction Relationship Introduction
title_short A Strategy for Solving the Non Symmetries Arising in Nonlinear Consolidation of Partially Saturated Soils
title_full A Strategy for Solving the Non Symmetries Arising in Nonlinear Consolidation of Partially Saturated Soils
title_fullStr A Strategy for Solving the Non Symmetries Arising in Nonlinear Consolidation of Partially Saturated Soils
title_full_unstemmed A Strategy for Solving the Non Symmetries Arising in Nonlinear Consolidation of Partially Saturated Soils
title_sort A Strategy for Solving the Non Symmetries Arising in Nonlinear Consolidation of Partially Saturated Soils
dc.creator.none.fl_str_mv Di Rado, Hector Ariel
Beneyto, Pablo Alejandro
Mroginski, Javier Luis
Manzolillo, Juan Emilio
author Di Rado, Hector Ariel
author_facet Di Rado, Hector Ariel
Beneyto, Pablo Alejandro
Mroginski, Javier Luis
Manzolillo, Juan Emilio
author_role author
author2 Beneyto, Pablo Alejandro
Mroginski, Javier Luis
Manzolillo, Juan Emilio
author2_role author
author
author
dc.subject.none.fl_str_mv Hypoelastic Formulations
Finite Element Analysis
Non Saturated Soil Model
Saturation-Suction Relationship Introduction
topic Hypoelastic Formulations
Finite Element Analysis
Non Saturated Soil Model
Saturation-Suction Relationship Introduction
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The main scope of this paper is to present an alternative to tackle the problem of the non symmetries arising in the solution of the nonlinear couple consolidation problem based on a combination of different stress states. Being originally a non symmetric problem, it may be straightforward reduced to a symmetric one, and the conditions in which this reduction may be carried out, are addressed. Non linear saturation-suction and permeability-suction functions were regarded. The geometric model was developed considering an updated lagrangian description with a co-rotated Kirchhoff stress tensor. This description leads to a non-symmetric stiffness matrix and a simple alternative, using a symmetric constitutive matrix, is addressed to overcome this situation. The whole equation system was solved using an open finite element code FECCUND, developed by the authors. In order to validate the model, various examples, for which previous solutions are known, were solved. The use of either a strongly non linear and no symmetric formulation or a simple symmetric formulation with accurate prediction in deformation and pore-pressures is extremely dependent on the soil characteristic curves and on the shear efforts level, as well. A numerical example show the predictive capability of this geometrically non linear fully coupled model for attaining the proposed goal.
Fil: Di Rado, Hector Ariel. Universidad Nacional del Nordeste. Facultad de Ingeniería. Departamento de Mecanica Aplicada; Argentina
Fil: Beneyto, Pablo Alejandro. Universidad Nacional del Nordeste. Facultad de Ingeniería. Departamento de Mecanica Aplicada; Argentina
Fil: Mroginski, Javier Luis. Universidad Nacional del Nordeste. Facultad de Ingeniería. Departamento de Mecanica Aplicada; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Manzolillo, Juan Emilio. Universidad Nacional del Nordeste. Facultad de Ingeniería. Departamento de Mecanica Aplicada; Argentina
description The main scope of this paper is to present an alternative to tackle the problem of the non symmetries arising in the solution of the nonlinear couple consolidation problem based on a combination of different stress states. Being originally a non symmetric problem, it may be straightforward reduced to a symmetric one, and the conditions in which this reduction may be carried out, are addressed. Non linear saturation-suction and permeability-suction functions were regarded. The geometric model was developed considering an updated lagrangian description with a co-rotated Kirchhoff stress tensor. This description leads to a non-symmetric stiffness matrix and a simple alternative, using a symmetric constitutive matrix, is addressed to overcome this situation. The whole equation system was solved using an open finite element code FECCUND, developed by the authors. In order to validate the model, various examples, for which previous solutions are known, were solved. The use of either a strongly non linear and no symmetric formulation or a simple symmetric formulation with accurate prediction in deformation and pore-pressures is extremely dependent on the soil characteristic curves and on the shear efforts level, as well. A numerical example show the predictive capability of this geometrically non linear fully coupled model for attaining the proposed goal.
publishDate 2015
dc.date.none.fl_str_mv 2015-02
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/37183
Di Rado, Hector Ariel; Beneyto, Pablo Alejandro; Mroginski, Javier Luis; Manzolillo, Juan Emilio; A Strategy for Solving the Non Symmetries Arising in Nonlinear Consolidation of Partially Saturated Soils; Science Publishing Group; American Journal of Applied Mathematics; 3; 2; 2-2015; 31-35
2330-0043
2330-006X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/37183
identifier_str_mv Di Rado, Hector Ariel; Beneyto, Pablo Alejandro; Mroginski, Javier Luis; Manzolillo, Juan Emilio; A Strategy for Solving the Non Symmetries Arising in Nonlinear Consolidation of Partially Saturated Soils; Science Publishing Group; American Journal of Applied Mathematics; 3; 2; 2-2015; 31-35
2330-0043
2330-006X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencepublishinggroup.com/journal/paperinfo.aspx?journalid=148&doi=10.11648/j.ajam.20150302.11
info:eu-repo/semantics/altIdentifier/doi/10.11648/j.ajam.20150302.11
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Science Publishing Group
publisher.none.fl_str_mv Science Publishing Group
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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