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Flower Patterns on Honeycomb Structures

  • Kiyohiro Ikeda
  • Kazuo Murota
Chapter
Part of the Applied Mathematical Sciences book series (AMS, volume 149)

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.

Keywords

Irreducible Representation Bifurcation Point Representative Volume Element Bifurcation Analysis Honeycomb Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer New York 2010

Authors and Affiliations

  1. 1.Department of Civil EngineeringTohoku UniversitySendaiJapan
  2. 2.Department of Mathematical Informatics Graduate School of Information Science & TechnologyUniversity of TokyoTokyoJapan

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