TY - JOUR
T1 - Bifurcations to diversify geometrical patterns of shear bands on granular material
AU - Ikeda, Kiyohiro
AU - Yamakawa, Yuki
AU - Desrues, Jacques
AU - Murota, Kazuo
PY - 2008/5/14
Y1 - 2008/5/14
N2 - The mechanism to diversify geometrical patterns on granular material was elucidated using a group-theoretic image analysis of patterned shear bands, with associated numerical bifurcation analysis. Pattern formation of granular materials took the course of the evolution of a diamondlike diffuse bifurcation breaking uniformity, followed by further bifurcation, mode jumping, and the formation and disappearance of shear bands through localization. A chaotic explosive increase of possible postbifurcation states was emphasized as a mechanism to diversify geometrical patterns.
AB - The mechanism to diversify geometrical patterns on granular material was elucidated using a group-theoretic image analysis of patterned shear bands, with associated numerical bifurcation analysis. Pattern formation of granular materials took the course of the evolution of a diamondlike diffuse bifurcation breaking uniformity, followed by further bifurcation, mode jumping, and the formation and disappearance of shear bands through localization. A chaotic explosive increase of possible postbifurcation states was emphasized as a mechanism to diversify geometrical patterns.
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U2 - 10.1103/PhysRevLett.100.198001
DO - 10.1103/PhysRevLett.100.198001
M3 - Article
AN - SCOPUS:43749120256
SN - 0031-9007
VL - 100
JO - Physical Review Letters
JF - Physical Review Letters
IS - 19
M1 - 198001
ER -