Bifurcations to diversify geometrical patterns of shear bands on granular material

Kiyohiro Ikeda, Yuki Yamakawa, Jacques Desrues, Kazuo Murota

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

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
Volume100
Issue number19
DOIs
Publication statusPublished - 2008 May 14

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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