Numerical simulation of undrained insertion problems in geotechnical engineering with the Particle Finite Element Method (PFEM)

Monforte, Lluís; Arroyo, Marcos; Carbonell, Josep Maria; Gens, Antonio

doi:10.1016/j.compgeo.2016.08.013

Cited by 93 publications

(71 citation statements)

References 50 publications

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“…Other meshfree methodologies that have applied contact mechanics in geotechnical applications are the arbitrarian Lagrangian‐Eulerian formulations (ALE) such as the so‐called remeshing and interpolation technique by small strain developed by Randolph et al, the so‐called efficient ALE approach developed by Nazem et al, and the successive built‐in implementation of ALE in Abaqus/Explicit, currently known as the coupled Eulerian‐Lagrangian . A comparative review of these ALE methods has been recently presented by Wang et al Finally, the particle finite element method, an updated Lagrangian approach that avoids mesh distortion problems by frequent remeshing, seems suitable to address geotechnical insertion problems …”

Section: Numerical Implementationmentioning

confidence: 99%

“…However, the aforementioned computational methods are restricted to the small strain range. If large deformation problems are to be solved, particle or meshfree methodologies arise as suitable alternatives for simulating such problems . The name of “meshfree methods” comes from the fact that they do not rely on meshes but on points to approximate functions and differential operators.…”

Section: Introductionmentioning

confidence: 99%

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Optimal transportation meshfree method in geotechnical engineering problems under large deformation regime

Navas

López‐Querol

et al. 2018

Numerical Meth Engineering

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Summary Meshfree methods have been demonstrated as suitable and strong alternatives to the more standard numerical schemes such as finite elements or finite differences. Moreover, when formulated in a Lagrangian approach, they are appropriate for capturing soil behavior under high‐strain levels. In this paper, the optimal transportation meshfree method has been applied for the first time to geotechnical problems undergoing large deformations. All the features employed in the current methodology (ie, F‐bar, explicit viscoplastic integration, and master‐slave contact) are described and validated separately. Finally, the model is applied to the particular case of shallow foundations by using von Mises and Drucker‐Prager yield criteria to find the load at failure in the. The presented methodology is demonstrated to be robust and accurate when solving this type of problems.

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Section: Numerical Implementationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Optimal transportation meshfree method in geotechnical engineering problems under large deformation regime

Navas

López‐Querol

et al. 2018

Numerical Meth Engineering

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“…Additionally, low‐order elements are preferred for its flexibility in adaptive remeshing codes such as the particle finite element method, which is typically reliant on linear elements. ()…”

Section: Introductionmentioning

confidence: 99%

“…PFEM was originally developed to address fluid‐structure interaction problems() and has been later adapted to study soil‐structure interaction. () A cornerstone of PFEM is frequent remeshing for which low‐order elements are very advantageous. The elements employed have equal order interpolation for all the nodal basic variables, chosen as the mixture displacement, water relative displacement and water pressure, a formulation with shorthand u − w − p w , resulting in a P1‐P1‐P1 element.…”

Section: Introductionmentioning

confidence: 99%

Low‐order stabilized finite element for the full Biot formulation in soil mechanics at finite strain

Monforte

Navas

Carbonell

et al. 2019

Num Anal Meth Geomechanics

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“…These extreme situations may be dealt with using simpler single-phase formulations. For instance, for undrained conditions, elasto-plastic formulations using a quasi-incompressible elastic model alongside an isochoric plastic law are applicable [17].…”

Section: Introductionmentioning

confidence: 99%

Performance of mixed formulations for the particle finite element method in soil mechanics problems

et al. 2016

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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 hyper-elasticity). An important feature of this kind of problem is that incompressibility may arise either from undrained conditions or as a consequence of material behavior; 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 hydro-mechanical 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 behavior 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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Numerical simulation of undrained insertion problems in geotechnical engineering with the Particle Finite Element Method (PFEM)

Cited by 93 publications

References 50 publications

Optimal transportation meshfree method in geotechnical engineering problems under large deformation regime

Optimal transportation meshfree method in geotechnical engineering problems under large deformation regime

Low‐order stabilized finite element for the full Biot formulation in soil mechanics at finite strain

Performance of mixed formulations for the particle finite element method in soil mechanics problems

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