Two-phase Material Point Method applied to the study of cone penetration

Ceccato, Francesca; Beuth, Lars; Vermeer, P. A.; Simonini, Paolo

doi:10.1016/j.compgeo.2016.03.003

Cited by 118 publications

(44 citation statements)

References 46 publications

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“…All of these research works required the stabilization of the original methodology. The MPM developed by Sulsky et al is utilized by a wide range of researchers, for example, Soga et al, Alonso and Zabala, and Solowski et al Despite that the application of MPM to geotechnical problems is relatively recent, several implementations of this methodology have been already employed to model rigid body contact in soils …”

Section: Numerical Implementationmentioning

confidence: 99%

“…The MPM developed by Sulsky et al 37 is utilized by a wide range of researchers, for example, Soga et al, 38 Alonso and Zabala, 39 and Solowski et al 18 Despite that the application of MPM to geotechnical problems is relatively recent, several implementations of this methodology have been already employed to model rigid body contact in soils. 40 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, [41][42][43] the so-called efficient ALE approach developed by Nazem et al, 44,45 and the successive built-in implementation of ALE in Abaqus/Explicit, currently known as the coupled Eulerian-Lagrangian. 46 A comparative review of these ALE methods has been recently presented by Wang et al 47 Finally, the particle finite element method, 67 an updated Lagrangian approach that avoids mesh distortion problems by frequent remeshing, seems suitable to address geotechnical insertion problems.…”

Section: Numerical Implementationmentioning

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: Numerical Implementationmentioning

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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“…Those implementations improved the errors directly related to cell‐crossing, yet some high frequency noises are still present in the solutions. A simple approach to reduce those spurious noises is to add a nonviscous damping to the linear momentum balance equations such as described in the implicit or two‐phase formulations . However, the local damping leads to energy dissipation, inaccuracies in the time‐dependent simulations, such as in the consolidation process and, in extreme cases, to an over‐damped system with qualitatively different characteristics.…”

Section: Introductionmentioning

confidence: 99%

“…A simple approach to reduce those spurious noises is to add a nonviscous damping to the linear momentum balance equations such as described in the implicit 14 or two-phase formulations. 15,16 However, the local damping leads to energy dissipation, inaccuracies in the time-dependent simulations, such as in the consolidation process 15 and, in extreme cases, to an over-damped system with qualitatively different characteristics. To avoid these severe limitations, for example, Lu et al 17 and Renaud et al 18 combined the time-discontinuous Galerkin method to the MPM to control the spurious noises.…”

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confidence: 99%

Temporal and null‐space filter for the material point method

Tran

Sołowski

2019

Numerical Meth Engineering

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Summary This paper presents algorithm improvements that reduce the numerical noise and increase the numerical stability of the material point method formulation. Because of the linear mapping required in each time step of the material point method algorithm, a possible mismatch between the number of material points and grid nodes leads to a loss of information. These null‐space related errors may accumulate and affect the numerical solution. To remove the null‐space errors, the presented algorithm utilizes a null‐space filter. The null‐space filter shown removes the null‐space errors, resulting from the rank deficient mapping and the difference between the number of material points and the number of nodes. The presented algorithm enhancements also include the use of the explicit generalized‐α integration method, which helps optimizing the numerical algorithmic dissipation. This paper demonstrates the performance of the improved algorithms in several numerical examples.

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“…The numerical analyses are performed using the dynamic explicit code Anura3D (www.anura3d.eu), which implements a full 3D MPM formulation and it is therefore suitable to simulate the three-dimensional soil deformations induced by the movement of the plate. It implements an enhanced version of the original MPM proposed by Sulsky, Chen, & Schreyer, (1994), which has been extensively validated for geomechanical problems (Al-Kafaji, 2013;Yerro, 2015) including slope failures (Soga, Alonso, Yerro, Kumar, & Bandara, 2016;Yerro, Alonso, & Pinyol, 2016) and soil penetration problems Ceccato, Beuth, Vermeer, & Simonini, 2016;Phuong et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

Large displacement numerical study of 3D plate anchors

Ceccato

Bisson

Cola

2017

European Journal of Environmental and Civil Engineering

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This paper presents a numerical study carried out in the context of the development of a new application of plate anchors for landslide stabilization. The plates are positioned on the slope's ground surface and linked to a deeper stable layer with a steel grouted bar, thus acting as discontinuous elements constrasting the slope movement. This technique is less expensive compared to standard retaining structures, especially in medium and deep landslides. Moreover, plate anchors can bear large displacements of the unstable moving mass without losing efficiency. Evaluating the stabilizing force and its optimization in relation to the plate shape are of great interest. Numerous studies have investigated the bearing capacity of rectangular and circular thin plates at small strains, but the performance of alternative shapes, such as cones or truncated cones, has never been considered. The numerical study here presented applies the Material Point Method to investigate the behaviour of plate anchors with different 3D shapes at large displacements. The numerical model is validated with the results of some smallscale laboratory tests. The pull-out resistance, the soil stress and displacement fields around the plate, and the group effect have been investigated, thus obtaining preliminary indications for the design of these elements.

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Two-phase Material Point Method applied to the study of cone penetration

Cited by 118 publications

References 46 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

Temporal and null‐space filter for the material point method

Large displacement numerical study of 3D plate anchors

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