General Model for Contact Law between Two Rough Spheres

Dobry, Ricardo; Ng, T. T.; Petrakis, Emmanuel; Seridi, A.

doi:10.1061/(asce)0733-9399(1991)117:6(1365)

Cited by 33 publications

(15 citation statements)

References 13 publications

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“…For small grain deformations, the models of Mindlin and Deresiewicz [18,19] adequately describe intergranular shear ( [14,20,21] and the references therein) and torsion [14,22]. Slip between the grain surfaces dissipates energy, making load-displacement relations path-dependent.…”

Section: Introductionmentioning

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: Introductionmentioning

confidence: 99%

Frictional granular mechanics: A variational approach

Holtzman¹,

Silin²,

Patzek³

2009

Numerical Meth Engineering

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“…The limiting force is given by Coulomb's law when F T ¼ lF n . Further analysis on the non-linear relationship and extension to elastic-plastic contacts where the deformation is found to be dependent on the entire loading history can be found in Cundall and Strack (1979), Dobry, Ng, and Petrakis (1991), Raji (1999) and Favier et al (1999).…”

Section: Elastic Componentmentioning

confidence: 98%

Model for the deformation in agricultural and food particulate materials under bulk compressive loading using discrete element method. I: Theory, model development and validation

Raji

Favier

2004

Journal of Food Engineering

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“…In the present paper, we focus on the TFD relation, which plays a similar important role as the normal force-displacement (NFD) relation on the amplitude of the interparticle forces and the frequency of collision in granular flows. Apart from the MD [20] theory for the elastic-frictional contact of two spheres in the tangential direction, a TFD model based on the formalism of elasto-plasticity was developed in [25]. Although developed based on an elasto-plasticity formalism, the model in [25] was applicable to elastic materials only.…”

Section: Introduction and Literature Reviewmentioning

confidence: 99%

“…Apart from the MD [20] theory for the elastic-frictional contact of two spheres in the tangential direction, a TFD model based on the formalism of elasto-plasticity was developed in [25]. Although developed based on an elasto-plasticity formalism, the model in [25] was applicable to elastic materials only. Other existing TFD models, such as those proposed in [26,27], and in [6], can be viewed as various approximations and simplifications to the MD [20] theory.…”

Section: Introduction and Literature Reviewmentioning

confidence: 99%