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Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Performance of mixed formulations for the particle finite element method in soil mechanics problems
This paper presents a computational framework for the numerical analysis of fluid-saturated porous media at large strains. The proposal relies, on one hand, on the particle finite element method (PFEM), known for its capability to tackle large deformations and rapid changing boundaries, and, on the other hand, on constitutive descriptions well established in current geotechnical analyses (Darcy’s law; Modified Cam Clay; Houlsby hyperelasticity). An important feature of this kind of problem is that incompressibility may arise either from undrained conditions or as a consequence of material behaviour; incompressibility may lead to volumetric locking of the low-order elements that are typically used in PFEM. In this work, two different three-field mixed formulations for the coupled hydromechanical problem are presented, in which either the effective pressure or the Jacobian are considered as nodal variables, in addition to the solid skeleton displacement and water pressure. Additionally, several mixed formulations are described for the simplified single-phase problem due to its formal similitude to the poromechanical case and its relevance in geotechnics, since it may approximate the saturated soil behaviour under undrained conditions. In order to use equal-order interpolants in displacements and scalar fields, stabilization techniques are used in the mass conservation equation of the biphasic medium and in the rest of scalar equations. Finally, all mixed formulations are assessed in some benchmark problems and their performances are compared. It is found that mixed formulations that have the Jacobian as a nodal variable perform better. ; Peer Reviewed ; Postprint (author's final draft)
Performance of mixed formulations for the particle finite element method in soil mechanics problems
This paper presents a computational framework for the numerical analysis of fluid-saturated porous media at large strains. The proposal relies, on one hand, on the particle finite element method (PFEM), known for its capability to tackle large deformations and rapid changing boundaries, and, on the other hand, on constitutive descriptions well established in current geotechnical analyses (Darcy’s law; Modified Cam Clay; Houlsby hyperelasticity). An important feature of this kind of problem is that incompressibility may arise either from undrained conditions or as a consequence of material behaviour; incompressibility may lead to volumetric locking of the low-order elements that are typically used in PFEM. In this work, two different three-field mixed formulations for the coupled hydromechanical problem are presented, in which either the effective pressure or the Jacobian are considered as nodal variables, in addition to the solid skeleton displacement and water pressure. Additionally, several mixed formulations are described for the simplified single-phase problem due to its formal similitude to the poromechanical case and its relevance in geotechnics, since it may approximate the saturated soil behaviour under undrained conditions. In order to use equal-order interpolants in displacements and scalar fields, stabilization techniques are used in the mass conservation equation of the biphasic medium and in the rest of scalar equations. Finally, all mixed formulations are assessed in some benchmark problems and their performances are compared. It is found that mixed formulations that have the Jacobian as a nodal variable perform better. ; Peer Reviewed ; Postprint (author's final draft)
Performance of mixed formulations for the particle finite element method in soil mechanics problems
Monforte, LLuís (Autor:in) / Carbonell Puigbó, Josep Maria (Autor:in) / Arroyo Álvarez de Toledo, Marcos (Autor:in) / Gens Solé, Antonio (Autor:in) / Universitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria / Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental / Centre Internacional de Mètodes Numèrics en Enginyeria / Universitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria / Universitat Politècnica de Catalunya. MSR - Mecànica del Sòls i de les Roques
01.07.2017
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Finite-element method for problems in soil mechanics
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