A lattice type model for particulate media

Muniram Budhu, S. Ramakrishnan, George N Frantziskonis

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, a lattice-type model to simulate the micro-mechanical behaviour of particulate/granular media is presented. In this numerical model, a particulate assembly is simulated as a lattice/truss. Nodes located at contacts between a particle and its neighbours are linked by bars to each other. Each particle is represented by a lattice within its microstructure and particle interact through load transfer at the nodes. Constraints are prescribed at the nodes to describe active, deactivated and reactivated contacts. When a particulate assembly develops into a mechanism (deformation with zero incremental load), further deformation is simulated through a framework that describes the kinematics of the particles (sliding, rolling and rotation of particles). This framework is formed by introducing nodes at the particle centroids and linking them with bars. Bars-linking particles with a non-sliding contact are assigned large stiffnesses relative to bars linking particles with a sliding contact. Numerical tests are conducted on two-dimensional assemblies of disks, arranged as very loose and very dense packing under simple shear loading conditions. The results concord with the results of numerical tests conducted using the discrete element method and with photoelastic experiments. Additionally, the model is applied to study the effects of initial imperfections caused by particles with low elastic modulus.

Original languageEnglish (US)
Pages (from-to)647-671
Number of pages25
JournalInternational Journal for Numerical and Analytical Methods in Geomechanics
Volume23
Issue number7
StatePublished - 1999

Fingerprint

Finite difference method
Numerical models
Kinematics
sliding
Elastic moduli
Stiffness
Defects
Microstructure
particle
granular medium
discrete element method
deformation mechanism
elastic modulus
stiffness
Experiments
microstructure
kinematics
experiment
test
effect

Keywords

  • Granular
  • Lattice
  • Materials
  • Mechanics
  • Modeling
  • Particulate
  • Simulation
  • Trusses

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology
  • Computational Mechanics
  • Mechanics of Materials
  • Materials Science(all)

Cite this

A lattice type model for particulate media. / Budhu, Muniram; Ramakrishnan, S.; Frantziskonis, George N.

In: International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 23, No. 7, 1999, p. 647-671.

Research output: Contribution to journalArticle

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