Bifurcations to diversify geometrical patterns of shear bands on granular material

Kiyohiro Ikeda, Yuki Yamakawa, Jacques Desrues, Kazuo Murota

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


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.

Original languageEnglish
Article number198001
JournalPhysical Review Letters
Issue number19
Publication statusPublished - 2008 May 14


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