A local constitutive model for the discrete element method. Application to geomaterials and concrete

Oñate, Eugenio; Zárate, Francisco; Miquel, Juan Carlos; Santasusana, Miquel; Celigueta, Miguel Ángel; Arrufat, Ferrán; Gandikota, Raju; Valiullin, Khaydar; Ring, Lev

doi:10.1007/s40571-015-0044-9

Cited by 79 publications

(84 citation statements)

References 39 publications

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“…In this work we use the local approach for defining the DEM parameters for an arbitrary cohesive material following the procedure explained in [14].…”

Section: Background On the Demmentioning

confidence: 99%

“…The typical porosity values achieved are about 24%. The particles are considered as rigid, but the contacts between them are visco-elastic [14]. Therefore, the contact happens throughout a range of distances between the particles which can include gaps and penetrations.…”

Section: Background On the Demmentioning

confidence: 99%

“…In the tangential direction, the material also exhibits the same linear elastic perfectly brittle behavior with the difference that a residual frictional strength can exist in the presence of normal compressions. Details of the constitutive model are given in [14].…”

Section: Background On the Demmentioning

confidence: 99%

“…The particular values for the normal and tangential stiffness parameters at the contact interfaces and the limit values of the interface strengths are determined for every material using the local constitutive model described in [14].…”

Section: Background On the Demmentioning

confidence: 99%

“…However, because of the very same nature of the method, it has lagged in its ability to accurately represent the continuum. The authors have already presented improvements on the DEM and demonstrated good accuracy results for the multifracture analysis of geomaterials and concrete [14].…”

mentioning

confidence: 99%

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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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“…In this work we use the local approach for defining the DEM parameters for an arbitrary cohesive material following the procedure explained in [14].…”

Section: Background On the Demmentioning

confidence: 99%

Section: Background On the Demmentioning

confidence: 99%

Section: Background On the Demmentioning

confidence: 99%

Section: Background On the Demmentioning

confidence: 99%

mentioning

confidence: 99%

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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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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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Numerical modelling of landslide-generated waves with the particle finite element method (PFEM) and a non-Newtonian flow model

Salazar

Irazábal

Larese

et al. 2015

Int. J. Numer. Anal. Meth. Geomech.

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SUMMARYLandslide-generated impulse waves may have catastrophic consequences. The physical phenomenon is difficult to model due to the uncertainties in the kinematics of the mobilised material, and to the intrinsic complexity of the fluid-soil interaction. The Particle Finite Element Method (PFEM) [1] is a numerical scheme which has successfully been applied to fluid-structure interaction problems. It uses a Lagrangian description to model the motion of nodes (particles) in both the fluid and the solid domains (the later including soil/rock and structures). A mesh connecting the particles (nodes) is re-generated at every time step, where the governing equations are solved. Various constitutive laws are used for the sliding mass, including rigid solid and Newtonian and non-Newtonian fluids. Several examples of application are presented, corresponding both to experimental tests and to actual full-scale case studies. The results show that the PFEM can be a useful tool for analysing the risks associated to landslide phenomena, providing a good estimate to the potential hazards even for full-scale events.

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A local constitutive model for the discrete element method. Application to geomaterials and concrete

Cited by 79 publications

References 39 publications

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

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

Particle Methods in Computational Fluid Dynamics

Numerical modelling of landslide-generated waves with the particle finite element method (PFEM) and a non-Newtonian flow model

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