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...

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Vydáno v:Computational particle mechanics Ročník 4; číslo 3; s. 269 - 284
Hlavní autoři: Monforte, Lluís, Carbonell, Josep Maria, Arroyo, Marcos, Gens, Antonio
Médium: Journal Article Publikace
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 01.07.2017
Springer Nature B.V
Springer
Témata:
Benchmarks
Classical and Continuum Physics
Clay
Computational Science and Engineering
Conservation
Deformation
Displacement
Engineering
Finite deformation
Finite element analysis
Finite element method
Formulations
Geotechnical engineering
Incompressibility
Locking
Matemàtiques i estadística
Mecànica dels sòls
Mixed formulations
Nonlinear programming
Numerical analysis
Particle finite element method (PFEM)
Porous media
Saturated soils
Soil conditions
Soil mechanics
Stabilization
Theoretical and Applied Mechanics
Water pressure
Àrees temàtiques de la UPC
Mixed formulations
Particle finite element method (PFEM)
Finite deformation
Soil mechanics
ISSN:2196-4378, 2196-4386, 2196-4386
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Popis
Shrnutí: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.
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ISSN:2196-4378
2196-4386
2196-4386
DOI:10.1007/s40571-016-0145-0