High‐density sphere packing for discrete element method simulations

Labra, Carlos; Oñate, Eugenio

doi:10.1002/cnm.1193

Cited by 82 publications

(48 citation statements)

References 21 publications

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“…The mass of each new discrete element corresponds to the nodal mass and its radius will be the maximum one that guarantees the contact between the adjacent discrete elements without creating any overlappings between them. Indeed, this is not the only algorithm that can be used for generating discrete elements [13] but it has been proved to be a very effective procedure, as the main idea is to avoid that the new discrete elements created generate spurious contact forces.…”

Section: Generation Of Discrete Particlesmentioning

confidence: 99%

“…The tangential force F s at the contact point is a function of the relative tangential displacement u s between the two particles in contact, and is defined in a regularized way as [23] F s = min 2rt us ri+rj Eo 2(1+ν) µF n (13) were µ is the friction coefficient and ν is the Poisson's ratio.…”

Section: Generation Of Discrete Particlesmentioning

confidence: 99%

“…One of the most recent methodologies to simulate the fracture process is the discrete element method (DEM) [8,13,[23][24][25][26][27][28][29]. However, the inherent difficulty for calibrating the material parameters in the DEM, as well as the need for a large number of discrete elements for solving practical problems question its effectiveness for large scale fracture mechanics analysis, even though the qualitatively results of the DEM for predicting fracture patterns are pretty good.…”

Section: Introductionmentioning

confidence: 99%

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A simple FEM–DEM technique for fracture prediction in materials and structures

Zárate

Oñate

2015

Comp. Part. Mech.

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This paper presents a new computational technique for predicting the onset and evolution of fracture in a continuum in a simple manner combining the finite element method (FEM) and the discrete element method (DEM). Onset of cracking at a point is governed by a simple damage model. Once a crack is detected at an element side in the FE mesh, discrete elements are generated at the nodes sharing the side and a simple DEM mechanism is considered to follow the evolution of the crack. The combination of the DEM with simple 3-noded linear triangular elements correctly captures the onset of fracture and its evolution, as shown in several examples of application in two and three dimensions.

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Section: Generation Of Discrete Particlesmentioning

confidence: 99%

Section: Generation Of Discrete Particlesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A simple FEM–DEM technique for fracture prediction in materials and structures

Zárate

Oñate

2015

Comp. Part. Mech.

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“…Some authors [4,6,7] have used numerical experiments for determining the relationships between DEM and continuum parameters expressed in dimensionless form. This method has been used by the authors in previous works [9][10][11][12][17][18][19][20]. Other procedures for defining the global DEM parameters are based on the definition of average particle size measures for the whole discrete particle assembly and then relating the global DEM and continuum parameters via laboratory tests.…”

Section: Background On the Demmentioning

confidence: 99%

“…Particle sizes of {0.20, 0.22, 0.24, 0.26} inches were used as initial reference when generating the particles (spheres) [9], although the model with 0.20 in. was discarded due its excessive computational cost.…”

Section: Optimum Particle Sizementioning

confidence: 99%

Application of an enhanced discrete element method to oil and gas drilling processes

Ubach

Arrufat

Ring³

et al. 2015

Comp. Part. Mech.

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The authors present results on the use of the discrete element method (DEM) for the simulation of drilling processes typical in the oil and gas exploration industry. The numerical method uses advanced DEM techniques using a local definition of the DEM parameters and combined FEM-DEM procedures.This paper presents a step by step procedure to build a DEM model for analysis of the soil region coupled to a FEM model for discretizing the drilling tool that reproduces the drilling mechanics of a particular drill bit. A parameter study has been performed to determine the model parameters in order to maintain accurate solutions with reduced computational cost.

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Particle Methods in Computational Fluid Dynamics

Idelsohn

Oñate

Becker

2017

Encyclopedia of Computational Mechanics Second Edition

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Particle methods in computational fluid dynamics (CFD) are numerical tools for the solution of the equations of fluid dynamics, obtained by replacing the fluid continuum with a finite set of particles. One of the key attributes of particle methods is that pure advection is treated exactly. The convection of properties eases the solution of multi‐material problems, simplifying the detection of interfaces. The use of particles also allows to bridge the gap between the continuum and fragmentation in a natural way, for example, in fracture or droplets problems. Particle methods can be roughly classified into two types: (i) those based on probabilistic models, which represent macroscopic properties as statistical behaviors of microscopic particles, and (ii) those based on deterministic models, implying that the state in every point at a given time is perfectly defined. This chapter covers the most common deterministic particle methods. The layout of this chapter is as follows. First we present the governing equations for the motion of fluids. Then, we describe the basic concepts of two methods that rely only on the particles to obtain the field of variables and their derivatives: smoothed particle hydrodynamics (SPH) and the moving particle semi‐implicit method (MPS). The next sections describe three methods that use the particles in combination with a finite element method (FEM) mesh to improve the accuracy. First the material point method (MPM) is described, followed by a more detailed evaluation of the particle finite element method (PFEM) and the finite element method second generation (PFEM‐2). For each of the particle methods, the advantages and disadvantages of the strategies are evaluated. The chapter concludes with an overview of the DEM and the coupling of the DEM with the FEM for the analysis of particulate flows and their interaction with structures.

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High‐density sphere packing for discrete element method simulations

Cited by 82 publications

References 21 publications

A simple FEM–DEM technique for fracture prediction in materials and structures

A simple FEM–DEM technique for fracture prediction in materials and structures

Application of an enhanced discrete element method to oil and gas drilling processes

Particle Methods in Computational Fluid Dynamics

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