Description of local dilatancy and local rotation of granular assemblies by microstretch modeling

Kuo Ching Chen, Jeng Yin Lan, Yih Chin Tai

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


This study investigates the microstretch continuum modeling of granular assemblies while accounting for both the dilatant and rotational degrees of freedom of a macroelement. By introducing the solid volume fraction and the gyration radius of a granular system, the balance equations of the microstretch continuum are transformed into a new formulation of evolution equations comprising six variables: the solid volume fraction, the gyration radius, the velocity field, the averaged angular velocity, the rate of gyration radius, and the internal energy. The bulk microinertia density, the averaged angular velocity, and the microgyration tensor at a macroscopic point are obtained in terms of discrete physical quantities. The bulk part and the rotational part of the microgyration tensor are proposed as the two indices to measure the local dilatancy and local rotation of granular assemblies. It is demonstrated in the numerical simulation that the two indices can be used to identify the shear band evolution in a granular system under a biaxial compression.

Original languageEnglish
Pages (from-to)3882-3893
Number of pages12
JournalInternational Journal of Solids and Structures
Issue number21
Publication statusPublished - 2009 Oct 15

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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