An accurate elasto-plastic frictional tangential force–displacement model for granular-flow simulations: Displacement-driven formulation

Zhang, Xiang; Vu‐Quoc, L.

doi:10.1016/j.jcp.2006.12.028

Cited by 38 publications

(19 citation statements)

References 36 publications

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“…Elsewhere [1,2], we have applied our approach to model cohesionless and weakly-cemented sediments, accounting for hydrate dissociation and cementation of grain contacts. The current model can be extended to account for inelastic grain deformations (e.g., [52]), as well as for irregular grains that can fracture or break. The irregular grains can be modeled as clusters of spherical grains bonded at their contacts [53].…”

Section: Summary and Concluding Remarksmentioning

confidence: 99%

Frictional granular mechanics: A variational approach

Holtzman¹,

Silin²,

Patzek³

2009

Numerical Meth Engineering

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SUMMARYThe mechanical properties of a cohesionless granular material are evaluated from grain-scale simulations. Intergranular interactions, including friction and sliding, are modeled by a set of contact rules based on the theories of Hertz, Mindlin, and Deresiewicz. A computer generated, three-dimensional, irregular pack of spherical grains is loaded by incremental displacement of its boundaries. Deformation is described by a sequence of static equilibrium configurations of the pack. A variational approach is employed to find the equilibrium configurations by minimizing the total work against the intergranular loads. Effective elastic moduli are evaluated from the intergranular forces and the deformation of the pack. Good agreement between the computed and measured moduli, achieved with no adjustment of material parameters, establishes the physical soundness of the proposed model.

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Section: Summary and Concluding Remarksmentioning

confidence: 99%

Frictional granular mechanics: A variational approach

Holtzman¹,

Silin²,

Patzek³

2009

Numerical Meth Engineering

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“…However, for elasto-plastic oblique impacts, the normal coefficient of restitution is not only a function of the normal impact velocity, but also depends on the impact angle. Based on the study of normal and frictional elasto-plastic finite element analysis [27][28], Vu-Quoc et al proposed a series of force-displacement models [30][31][32] at particle impact level. An elasto-plastic normal contact model in displacement-driven version [30] was established to account for plastic deformation of two contacting spheres.…”

Section: Verification At Particle Impact Levelmentioning

confidence: 99%

“…An elasto-plastic normal contact model in displacement-driven version [30] was established to account for plastic deformation of two contacting spheres. The elasto-plastic frictional tangential contact models in force-driven and displacement-driven versions [31][32], which are consistent with the elastoplastic normal contact model [30], were then developed to account for both elastic and plastic deformation together with interfacial friction in collision of spheres. The DEM verification tests are outlined in Table 1 below.…”

Section: Verification At Particle Impact Levelmentioning

confidence: 99%

Establishing predictive capabilities of DEM – Verification and validation for complex granular processes

Ooi

2013

AIP Conference Proceedings

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“…Investigators have recently modeled the contact problem as an elasto-plastic process [10,21]. VuQuoc and Zhang modeled the normal force-displacement relationship of elasto-plastic spheres [22,23] and, more recently, developed an algorithm for the tangential and normal interactions of elasto-plastic spheres [24,25]. Experimental validation of this advanced normal force model is provided in [26] for polymer spheres.…”

Section: R Kuhnmentioning

confidence: 99%

“…This sequence will serve to illustrate the accuracy of the Jäger algorithm and to compare it with an incrementalstiffness solution-the displacement-driven algorithm of Zhang and Vu-Quoc [25], employed as an elastic-frictional formulation. In the first stage of loading, two elastic spheres are pressed together with force F n,0 (see inset of Figure 8(a)).…”

Section: Performance In a Simple Loading-unloading Sequencementioning

confidence: 99%

Implementation of the Jäger contact model for discrete element simulations

Kuhn

2011

Numerical Meth Engineering

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SUMMARYIn three-dimensional discrete element method (DEM) simulations, the particle motions within a granular assembly can produce bewildering sequences of movements at the contacts between particle pairs. With frictional contacts, the relationship between contact movement and force is non-linear and path-dependent, requiring an efficient means of computing the forces and storing their histories. By cleverly applying the principles of Cattaneo, Mindlin, and Deresiewicz, Jürgen Jäger developed an efficient approach for computing the full three-dimensional force between identical elastic spheres that have undergone difficult movement sequences (J. Jäger, New Solutions in Contact Mechanics. WIT Press: Southampton, U.K.). This paper presents a complete Jäger algorithm that can be incorporated into DEM codes and also describes three special provisions for DEM simulations: (1) a method for handling particle pairs that undergo complex tumbling and twirling motions in three-dimensions; (2) a compact data structure for storing the loading history of the many contacts in a large assembly; and (3) an approximation of the Jäger algorithm that reduces memory demand. The algorithm addresses contact translations between elastic spheres having identical properties, but it does not resolve the tractions produced by twisting or rolling motions. A performance test demonstrates that the algorithm can be applied in a DEM code with modest increases in computation time but with more substantial increases in required storage.

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An accurate elasto-plastic frictional tangential force–displacement model for granular-flow simulations: Displacement-driven formulation

Cited by 38 publications

References 36 publications

Frictional granular mechanics: A variational approach

Frictional granular mechanics: A variational approach

Establishing predictive capabilities of DEM – Verification and validation for complex granular processes

Implementation of the Jäger contact model for discrete element simulations

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