Global-local analysis of granular media in quasi-static equilibrium

K. Kaneko, Kenjiro Terada, Takashi Kyoya, Y. Kishino

Research output: Contribution to journalArticlepeer-review

59 Citations (Scopus)


A method of global-local analysis is developed for quasi-static equilibrium problems for granular media. The two-scale modeling based on mathematical homogenization theory enables us to formulate two separate boundary value problems in terms of macro- and microscales. The macroscale problem governs the equilibrium of a global structure composed of granular assemblies, while the microscale one is posed for the particulate nature of a local structure with the friction-contact mechanism between particles. The local structure is identified with a periodic representative volume element, or equivalently, a unit cell, over which averaging is performed. The mechanical behavior of unit cells is analyzed by a discrete numerical model, in which spring and friction devices connect rigid particles, whereas the continuum-based finite element method is used for the macroscopic one. Representative numerical examples are presented to demonstrate the capability of the proposed two-scale analysis method for granular materials.

Original languageEnglish
Pages (from-to)4043-4069
Number of pages27
JournalInternational Journal of Solids and Structures
Issue number15
Publication statusPublished - 2003 Jan 1


  • Global-local analysis
  • Granular media
  • Homogenization method
  • Two-scale modeling

ASJC Scopus subject areas

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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