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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