Nonlinear multi-scale modeling with frame elements for cellular materials

Ken Ooue, Isao Saiki, Kenjiro Terada, Akinori Nakajima

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


The development of a nonlinear homogenization for media having lattice-like periodic microstructure is presented. For continuum media, conventional homogenization methods lead to classical continuum boundary value problems at both micro- and micro-scales. However, discretizing latticelike micro-structures, such as cellular solids, by frame elements is a natural step. The main difficulty in applying frame elements to micro-scale problems is inconsistencies between the kinematic field of the frame elements and the micro-scale displacement field. Numerical examples of cellular solids demonstrate the feasibility and strengths of the computational efficiency of the method presented.

Original languageEnglish
Pages (from-to)67s-75s
JournalStructural Engineering/Earthquake Engineering
Issue number1
Publication statusPublished - 2004 Apr 1


  • Bifurcation
  • Cellular materials
  • Homogenization method
  • Multi-scale modeling
  • Non-convex potential

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Building and Construction
  • Arts and Humanities (miscellaneous)
  • Geotechnical Engineering and Engineering Geology

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