TY - CHAP
T1 - Flower Patterns on Honeycomb Structures
AU - Ikeda, Kiyohiro
AU - Murota, Kazuo
N1 - Publisher Copyright:
© Springer New York 2010.
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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.
KW - Bifurcation Analysis
KW - Bifurcation Point
KW - Honeycomb Structure
KW - Irreducible Representation
KW - Representative Volume Element
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U2 - 10.1007/978-1-4419-7296-5_16
DO - 10.1007/978-1-4419-7296-5_16
M3 - Chapter
AN - SCOPUS:85068184493
T3 - Applied Mathematical Sciences (Switzerland)
SP - 471
EP - 500
BT - Applied Mathematical Sciences (Switzerland)
PB - Springer
ER -