A strategy for solving the non symmetries arising in nonlinear consolidation of partially saturated soils

Autores
Di Rado, Héctor Ariel; Beneyto, Pablo Alejandro; Mroginski, Javier Luis; Manzolillo, Juan Emilio
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Fil: Di Rado, Héctor Ariel. Universidad Nacional del Nordeste. Facultad de Ingeniería; Argentina.
Fil: Beneyto, Pablo Alejandro. Universidad Nacional del Nordeste. Facultad de Ingeniería; Argentina.
Fil: Mroginski, Javier Luis. Universidad Nacional del Nordeste. Facultad de Ingeniería; Argentina.
Fil: Manzolillo, Juan Emilio. Universidad Nacional del Nordeste. Facultad de Ingeniería; Argentina.
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.
Fuente
American Journal of Applied Mathematics, 2015, vol. 3, no. 2, p. 31-35.
Materia
Finite element analysis
Hypoelastic formulations
Non saturated soil model
Saturation-suction relationship introduction
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
Institución
Universidad Nacional del Nordeste
OAI Identificador
oai:repositorio.unne.edu.ar:123456789/37788

id RIUNNE_aa3c9fe35ae0f218b7901b5f982ba85a
oai_identifier_str oai:repositorio.unne.edu.ar:123456789/37788
network_acronym_str RIUNNE
repository_id_str 4871
network_name_str Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
spelling A strategy for solving the non symmetries arising in nonlinear consolidation of partially saturated soilsDi Rado, Héctor ArielBeneyto, Pablo AlejandroMroginski, Javier LuisManzolillo, Juan EmilioFinite element analysisHypoelastic formulationsNon saturated soil modelSaturation-suction relationship introductionFil: Di Rado, Héctor Ariel. Universidad Nacional del Nordeste. Facultad de Ingeniería; Argentina.Fil: Beneyto, Pablo Alejandro. Universidad Nacional del Nordeste. Facultad de Ingeniería; Argentina.Fil: Mroginski, Javier Luis. Universidad Nacional del Nordeste. Facultad de Ingeniería; Argentina.Fil: Manzolillo, Juan Emilio. Universidad Nacional del Nordeste. Facultad de Ingeniería; Argentina.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.Science Publishing Group2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfDi Rado, Héctor Ariel, et. al., 2015. A strategy for solving the non symmetries arising in nonlinear consolidation of partially saturated soils. American Journal of Applied Mathematics. San Francisco: Science Publishing Group, vol. 3, no. 2, p. 31-35. ISSN-e 2330-006X.2330-0043http://repositorio.unne.edu.ar/handle/123456789/37788American Journal of Applied Mathematics, 2015, vol. 3, no. 2, p. 31-35.reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)instname:Universidad Nacional del Nordesteenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/2.5/ar/Atribución-NoComercial-SinDerivadas 2.5 Argentina2025-09-29T14:29:19Zoai:repositorio.unne.edu.ar:123456789/37788instacron:UNNEInstitucionalhttp://repositorio.unne.edu.ar/Universidad públicaNo correspondehttp://repositorio.unne.edu.ar/oaiososa@bib.unne.edu.ar;sergio.alegria@unne.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:48712025-09-29 14:29:20.066Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) - Universidad Nacional del Nordestefalse
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, Héctor Ariel
Finite element analysis
Hypoelastic formulations
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, Héctor Ariel
Beneyto, Pablo Alejandro
Mroginski, Javier Luis
Manzolillo, Juan Emilio
author Di Rado, Héctor Ariel
author_facet Di Rado, Héctor 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 Finite element analysis
Hypoelastic formulations
Non saturated soil model
Saturation-suction relationship introduction
topic Finite element analysis
Hypoelastic formulations
Non saturated soil model
Saturation-suction relationship introduction
dc.description.none.fl_txt_mv Fil: Di Rado, Héctor Ariel. Universidad Nacional del Nordeste. Facultad de Ingeniería; Argentina.
Fil: Beneyto, Pablo Alejandro. Universidad Nacional del Nordeste. Facultad de Ingeniería; Argentina.
Fil: Mroginski, Javier Luis. Universidad Nacional del Nordeste. Facultad de Ingeniería; Argentina.
Fil: Manzolillo, Juan Emilio. Universidad Nacional del Nordeste. Facultad de Ingeniería; Argentina.
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.
description Fil: Di Rado, Héctor Ariel. Universidad Nacional del Nordeste. Facultad de Ingeniería; Argentina.
publishDate 2015
dc.date.none.fl_str_mv 2015
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 Di Rado, Héctor Ariel, et. al., 2015. A strategy for solving the non symmetries arising in nonlinear consolidation of partially saturated soils. American Journal of Applied Mathematics. San Francisco: Science Publishing Group, vol. 3, no. 2, p. 31-35. ISSN-e 2330-006X.
2330-0043
http://repositorio.unne.edu.ar/handle/123456789/37788
identifier_str_mv Di Rado, Héctor Ariel, et. al., 2015. A strategy for solving the non symmetries arising in nonlinear consolidation of partially saturated soils. American Journal of Applied Mathematics. San Francisco: Science Publishing Group, vol. 3, no. 2, p. 31-35. ISSN-e 2330-006X.
2330-0043
url http://repositorio.unne.edu.ar/handle/123456789/37788
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Atribución-NoComercial-SinDerivadas 2.5 Argentina
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Atribución-NoComercial-SinDerivadas 2.5 Argentina
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 American Journal of Applied Mathematics, 2015, vol. 3, no. 2, p. 31-35.
reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
instname:Universidad Nacional del Nordeste
reponame_str Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
collection Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
instname_str Universidad Nacional del Nordeste
repository.name.fl_str_mv Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) - Universidad Nacional del Nordeste
repository.mail.fl_str_mv ososa@bib.unne.edu.ar;sergio.alegria@unne.edu.ar
_version_ 1844621661003841536
score 12.559606