Multi-scale analysis of cellular materials with frame elements by nonlinear homogenization

Isao Saiki, Ken Ooue, Kenjiro Terada, Akinori Nakajima

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Cellular materials consist of lattice-like microstructures are usually treated as continua which have equivalent macroscopic mechanical properties for structural analysis. Whereas the linear theory that estimates the equivalent properties for composites include cellular materials is mature, the theory and the methodology for the nonlinear analysis of cellular materials remain active fields of research. Then, in this context, we apply the homogenization method, which utilizes multiple scales and realizes macro and micro coupling multi-scale analysis, to cellular materials. Frame elements are employed in the multi-scale analysis based on the homogenization method since it is rational from computational viewpoint for discretizing the lattice-like microstructure. Finally, we show some numerical examples of the nonlinear multi-scale analysis of cellular materials- in. order to validate our multi-scale analysis.

Original languageEnglish
Pages (from-to)786-793
Number of pages8
JournalNippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Issue number4
Publication statusPublished - 2003 Apr
Externally publishedYes


  • Cellular materials
  • Computational mechanics
  • Finite deformation theory
  • Framed structure
  • Homogenization method
  • Multi-scale analysis

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering


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