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Flower Patterns on Honeycomb Structures

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Imperfect Bifurcation in Structures and Materials

Part of the book series: Applied Mathematical Sciences ((AMS,volume 149))

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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.

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Correspondence to Kiyohiro Ikeda .

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© 2010 Springer New York

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Ikeda, K., Murota, K. (2010). Flower Patterns on Honeycomb Structures. In: Imperfect Bifurcation in Structures and Materials. Applied Mathematical Sciences, vol 149. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7296-5_16

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