A saturated discrete particle model and characteristic‐based SPH method in granular materials

Li, Xikui; Chu, Xihua; Sheng, Daichao

doi:10.1002/nme.2037

Cited by 25 publications

(13 citation statements)

References 31 publications

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“…[10] Recently, fully coupled grain-scale models of grains and pore fluid were developed to study the relation between general deformation of a granular matrix and soil liquefaction [e.g., El Shamy and Zeghal, 2007;Okada and Ochiai,2007;Li et al, 2007]. Such models use the discrete element method and are capable of simulating both poroelastic and poroplastic grain rearrangements.…”

Section: Poroplastic Path To Liquefaction: Current State Of Understanmentioning

confidence: 99%

Pore pressure evolution in deforming granular material: A general formulation and the infinitely stiff approximation

Goren¹,

Aharonov²,

Sparks³

et al. 2010

J. Geophys. Res.

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[1] The physics of deformation of fluid-filled granular media controls many geophysical systems, ranging from shear on geological faults to landslides and soil liquefaction. Its great complexity is rooted in the mechanical coupling between two deforming phases: the solid granular network and the fluid-filled pore network. Often deformation of the granular network leads to pore fluid pressure (PP) changes. If the PP rises enough, the fluid-filled granular media may transition from a stress-supporting grain network to a flowing grain-fluid slurry, with an accompanying catastrophic loss of shear strength. Despite its great importance, the mechanisms and parameters controlling PP evolution by granular shear are not well understood. A formulation describing the general physics of pore fluid response to granular media deformation is developed and used to study simple scenarios that lead to PP changes. We focus on the infinitely stiff end-member scenario, where granular deformation is prescribed, and the PP responds to this deformation. This end-member scenario illustrates the two possible modes of pore fluid pressurization: (1) via rapid fluid flow when fluid drainage is good and (2) via pore volume compaction when drainage is poor. In the former case the rate of deformation controls PP evolution, while in the latter case, fluid compressibility is found to be an important parameter and the amount of pressurization is controlled by the overall compaction. The newly suggested fluid-induced mechanism (mechanism 1) may help explain observations of liquefaction of initially compact soils and shear zones.Citation: Goren, L., E. Aharonov, D. Sparks, and R. Toussaint (2010), Pore pressure evolution in deforming granular material: A general formulation and the infinitely stiff approximation,

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Section: Poroplastic Path To Liquefaction: Current State Of Understanmentioning

confidence: 99%

Pore pressure evolution in deforming granular material: A general formulation and the infinitely stiff approximation

Goren¹,

Aharonov²,

Sparks³

et al. 2010

J. Geophys. Res.

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“…Fixed pore flow simulations (where the geometry of the solid particles is unchanging over time) using SPH for the (unresolved) fluid phase have been described by Li et al (2007) and Jiang et al (2007), but these do not allow for the motion and collision of solid grains. Cleary et al (2006) and Fernandez et al (2011) simulate slurry flow at the mesoscale using SPH and DEM in SAG mills and through industrial banana screens, but only perform a one-way coupling between the solid and fluid phases.…”

Section: Introductionmentioning

confidence: 99%

Fluid–particle flow simulations using two-way-coupled mesoscale SPH–DEM and validation

Robinson

Luding

Ramaioli

2014

International Journal of Multiphase Flow

167

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First, a meshless simulation method is presented for multiphase fluid-particle flows with a two-way coupled Smoothed Particle Hydrodynamics (SPH) for the fluid and the Discrete Element Method (DEM) for the solid phase. The unresolved fluid model, based on the locally averaged Navier Stokes equations, is expected to be considerably faster than fully resolved models. Furthermore, in contrast to similar mesh-based Discrete Particle Methods (DPMs), our purely particle-based method enjoys the flexibility that comes from the lack of a prescribed mesh. It is suitable for problems such as free surface flow or flow around complex, moving and/or intermeshed geometries and is applicable to both dilute and dense particle flows.Second, a comprehensive validation procedure for fluid-particle simulations is presented and applied here to the SPH-DEM method, using simulations of single and multiple particle sedimentation in a 3D fluid column and comparison with analytical models. Millimetre-sized particles are used along with three different test fluids: air, water and a water-glycerol solution. The velocity evolution for a single particle compares well (less than 1% error) with the analytical solution as long as the fluid resolution is coarser than two times the particle diameter. Two more complex multiple particle sedimentation problems (sedimentation of a homogeneous porous block and an inhomogeneous Rayleigh Taylor instability) * Corresponding author are also reproduced well for porosities 0.6 ≤ ǫ ≤ 1.0, although care should be taken in the presence of high porosity gradients.Overall the SPH-DEM method successfully reproduces quantitatively the expected behaviour in the test cases, and promises to be a flexible and accurate tool for other, realistic fluid-particle system simulations.

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“…Hertz [25] proposed elastic contact force in the normal direction between spherical particles. Since his model exhibits a nonlinear relationship, it is appropriate to sirnulate large movements of particle 4 (18) where E is elastic modulus, i/ is Poisson ratio for each particles a and b, R = R^Rß/{R/i+Rß) is the equivalent radius, and ô is the maximum overlapping distance.…”

Section: Contactmentioning

confidence: 99%

“…In their research, coupled interactions are expressed to no-slip boundary condition, pairwise particle forces. Especially, Li et al [18] developed new characteristic based SPH method in which fluid flow in pore relative to the deformed solid particles. Further, direct numerical simulation-SPH method by Berry et al [19] has been proposed in frame of porous materials.…”

Section: Introductionmentioning

confidence: 99%

Computational Coupled Method for Multiscale and Phase Analysis

Tak¹,

Park²,

Park

2013

Journal of Engineering Materials and Technology

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On micro scale the constitutions of porous media are effected by other constitutions, so their behaviors are very complex and it is hard to derive theoretical formulations as well as to simulate on macro scale. For decades, in order to escape this complication, the phenomenological approaches in a field of multiscale methods have been extensively researched by many material scientists and engineers. Their theoretical approaches are based on the hierarchical multiscale methods using a priori knowledge on a smaller scale; however it has a drawback that an information loss can be occurred. Recently, according to a development of the core technologies of computer, the ways of multiscale are extended to a direct multiscale approach called the concurrent multiscale method. This approach is not necessary to deal with complex mathematical formulations, but it is noted as an important factor: development of computational coupling algorithms between constitutions in a porous medium. In this work, we attempt to develop coupling algorithms in different numerical methods finite element method (FEM), smoothed particle hydrodynamics (SPH) and discrete element method (DEM). Using this coupling algorithm, fluid flow, movement of solid particle, and contact forces between solid domains are computed via proposed discrete element which is based on SPH, FEM, and DEM. In addition, a mixed FEM on continuum level and discrete element model with SPH particles on discontinuum level is introduced, and proposed coupling algorithm is verified through numerical simulation.

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A saturated discrete particle model and characteristic‐based SPH method in granular materials

Cited by 25 publications

References 31 publications

Pore pressure evolution in deforming granular material: A general formulation and the infinitely stiff approximation

Pore pressure evolution in deforming granular material: A general formulation and the infinitely stiff approximation

Fluid–particle flow simulations using two-way-coupled mesoscale SPH–DEM and validation

Computational Coupled Method for Multiscale and Phase Analysis

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