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

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...

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Autores principales: Di Rado, Héctor Ariel, Beneyto, Pablo Alejandro, Mroginski, Javier Luis, Manzolillo, Juan Emilio
Formato: Artículo
Lenguaje:Inglés
Publicado: Science Publishing Group 2022
Materias:
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/37788
Aporte de:RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste Ver origen
id I48-R184-123456789-37788
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spelling I48-R184-123456789-377882022-05-27T22:19:04Z A strategy for solving the non symmetries arising in nonlinear consolidation of partially saturated soils Di Rado, Héctor Ariel Beneyto, Pablo Alejandro Mroginski, Javier Luis Manzolillo, Juan Emilio Finite element analysis Hypoelastic formulations Non saturated soil model Saturation-suction relationship introduction 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. 2022-05-09T14:56:25Z 2022-05-09T14:56:25Z 2015 Artículo 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 eng openAccess http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ application/pdf application/pdf Science Publishing Group American Journal of Applied Mathematics, 2015, vol. 3, no. 2, p. 31-35.
institution Universidad Nacional del Nordeste
institution_str I-48
repository_str R-184
collection RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
language Inglés
topic Finite element analysis
Hypoelastic formulations
Non saturated soil model
Saturation-suction relationship introduction
spellingShingle Finite element analysis
Hypoelastic formulations
Non saturated soil model
Saturation-suction relationship introduction
Di Rado, Héctor 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
topic_facet Finite element analysis
Hypoelastic formulations
Non saturated soil model
Saturation-suction relationship introduction
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.
format Artículo
author Di Rado, Héctor Ariel
Beneyto, Pablo Alejandro
Mroginski, Javier Luis
Manzolillo, Juan Emilio
author_facet Di Rado, Héctor Ariel
Beneyto, Pablo Alejandro
Mroginski, Javier Luis
Manzolillo, Juan Emilio
author_sort Di Rado, Héctor Ariel
title A strategy for solving the non symmetries arising in nonlinear consolidation of partially saturated soils
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 strategy for solving the non symmetries arising in nonlinear consolidation of partially saturated soils
publisher Science Publishing Group
publishDate 2022
url http://repositorio.unne.edu.ar/handle/123456789/37788
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