A flow rule incorporating the fabric and non-coaxiality in granular materials

Homayoun Shaverdi, Mohd. Raihan Taha, Farzin Kalantary

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Deficiencies of constitutive models in prediction of dilatancy are often attributed to simplifications associated with flow rules such as assumptions of isotropy and coaxiality. It is thus proposed here to develop a comprehensive flow rule for granular materials by including the effect of fabric and without the assumption of coaxiality. A second-order tensor is introduced as a fabric for the distribution of contact normals and contact forces. By using the energy principle in micro-mechanical scale and a suitable dissipation mechanism in granular materials, a stress-dilatancy relation is obtained. Fabric plays a “bridge-like” role in the dilatancy and non-coaxiality. Non-coaxialities between stress-strain-fabric are attributed to the non-coaxiality between stress-fabric and strain-fabric. In this formulation the constants for modeling fabric depend on non-coaxiality of the system rather than the history that determines such a state. Ability of this stress-fabric-dilatancy for modeling the non-coaxiality shows that this relation can predict the behavior of granular materials in the presence of the rotation of principal stress axes.

Original languageEnglish
Pages (from-to)675-685
Number of pages11
JournalGranular Matter
Volume16
Issue number5
DOIs
Publication statusPublished - 30 Sep 2014

Fingerprint

Granular materials
granular materials
isotropy
Constitutive models
simplification
Tensors
dissipation
histories
tensors
formulations
predictions

Keywords

  • Fabric
  • Granular materials
  • Mechanics of dilatancy
  • Micromechanics
  • Non-coaxiality

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Physics and Astronomy(all)

Cite this

A flow rule incorporating the fabric and non-coaxiality in granular materials. / Shaverdi, Homayoun; Taha, Mohd. Raihan; Kalantary, Farzin.

In: Granular Matter, Vol. 16, No. 5, 30.09.2014, p. 675-685.

Research output: Contribution to journalArticle

Shaverdi, Homayoun ; Taha, Mohd. Raihan ; Kalantary, Farzin. / A flow rule incorporating the fabric and non-coaxiality in granular materials. In: Granular Matter. 2014 ; Vol. 16, No. 5. pp. 675-685.
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