Flower Patterns on Honeycomb Structures

Kiyohiro Ikeda, Kazuo Murota

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Honeycomb structures under compression display illuminative geometrical patterns. As an example, Fig. 16.1(a) shows the so-called flower mode; a flowerlike pattern in (b), which is cut out from (a), comprises a regular hexagon and six identical cells surrounding this hexagon. Presented in (c) are its variants with different symmetries. In the numerical bifurcation analysis of the honeycomb structure to search for new patterns, it is pertinent to take advantage of group-theoretic analytical information.

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
PublisherSpringer
Pages471-500
Number of pages30
DOIs
Publication statusPublished - 2010 Jan 1

Publication series

NameApplied Mathematical Sciences (Switzerland)
Volume149
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X

Keywords

  • Bifurcation Analysis
  • Bifurcation Point
  • Honeycomb Structure
  • Irreducible Representation
  • Representative Volume Element

ASJC Scopus subject areas

  • Applied Mathematics

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