Frictional granular mechanics: A variational approach

R. Holtzman; D. B. Silin; T. W. Patzek

doi:10.1002/nme.2727

Frictional granular mechanics: A variational approach

R. Holtzman^*, D. B. Silin, T. W. Patzek

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

The 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.

Original language	English (US)
Pages (from-to)	1259-1280
Number of pages	22
Journal	International Journal for Numerical Methods in Engineering
Volume	81
Issue number	10
DOIs	https://doi.org/10.1002/nme.2727
State	Published - Mar 5 2010
Externally published	Yes

Keywords

Effective elastic moduli
Grain-scale simulations
Intergranular friction
Micromechanics
Principle of least work
Quasi-static model

ASJC Scopus subject areas

Numerical Analysis
General Engineering
Applied Mathematics

Access to Document

10.1002/nme.2727

Cite this

@article{826406b1a1744451bcb09d04a7ffe5be,

title = "Frictional granular mechanics: A variational approach",

abstract = "The 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.",

keywords = "Effective elastic moduli, Grain-scale simulations, Intergranular friction, Micromechanics, Principle of least work, Quasi-static model",

author = "R. Holtzman and Silin, {D. B.} and Patzek, {T. W.}",

year = "2010",

month = mar,

day = "5",

doi = "10.1002/nme.2727",

language = "English (US)",

volume = "81",

pages = "1259--1280",

journal = "International Journal for Numerical Methods in Engineering",

issn = "0029-5981",

publisher = "John Wiley and Sons Ltd",

number = "10",

}

TY - JOUR

T1 - Frictional granular mechanics

T2 - A variational approach

AU - Holtzman, R.

AU - Silin, D. B.

AU - Patzek, T. W.

PY - 2010/3/5

Y1 - 2010/3/5

N2 - The 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.

AB - The 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.

KW - Effective elastic moduli

KW - Grain-scale simulations

KW - Intergranular friction

KW - Micromechanics

KW - Principle of least work

KW - Quasi-static model

UR - http://www.scopus.com/inward/record.url?scp=74949128779&partnerID=8YFLogxK

U2 - 10.1002/nme.2727

DO - 10.1002/nme.2727

M3 - Article

AN - SCOPUS:74949128779

SN - 0029-5981

VL - 81

SP - 1259

EP - 1280

JO - International Journal for Numerical Methods in Engineering

JF - International Journal for Numerical Methods in Engineering

IS - 10

ER -

Frictional granular mechanics: A variational approach

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this