On the fabric tensor of polydisperse granular materials in 2D

Mahyar Madadi, Olivier Tsoungui, Marc Lätzel, Stefan Luding*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

61 Citations (Scopus)


The trace of the fabric tensor in static, isotropic, two-dimensional, frictionless, polydisperse granular materials is examined theoretically and numerically. In the monodisperse case, the trace of the fabric tensor equals the product of volume fraction and coordination number-thus the fabrics trace can be seen as contact density. For various size distributions, we obtain a correction factor to the monodisperse observation, which involves the first three moments of the particle size distribution function. The theoretical prediction is found to be in good agreement with numerical simulations of static frictionless systems.

Original languageEnglish
Pages (from-to)2563-2580
Number of pages18
JournalInternational journal of solids and structures
Issue number9-10
Early online date25 Jan 2004
Publication statusPublished - 1 May 2004
Externally publishedYes


  • Bidisperse and polydisperse size distributions
  • Discrete element simulation
  • Fabric tensor


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