A characteristic length scale in confined elastic buckling of a force chain

Tordesillas, Antoinette, Hunt, Giles and Shi, Jingyu (2011) A characteristic length scale in confined elastic buckling of a force chain. Granular Matter, 13 3: 215-218. doi:10.1007/s10035-011-0252-9


Author Tordesillas, Antoinette
Hunt, Giles
Shi, Jingyu
Title A characteristic length scale in confined elastic buckling of a force chain
Journal name Granular Matter   Check publisher's open access policy
ISSN 1434-5021
Publication date 2011-06
Sub-type Article (original research)
DOI 10.1007/s10035-011-0252-9
Volume 13
Issue 3
Start page 215
End page 218
Total pages 4
Place of publication Heidelberg, Germany
Publisher Springer
Collection year 2012
Language eng
Abstract We examine the confined elastic buckling of a single N-particle force chain. For a given set of material parameters, a characteristic load-carrying capacity is attained for a clearly defined range of force chain lengths N ≥ L*. The rotation and translation of particles along periodically located segments of the critical buckling mode, each of length L*, are on average consistent with those for particles inside the shear band. Preliminary results from postbuckling analysis show that the critical buckling mode is unstable and that buckling culminates in a localized response over one of these segments where observed shear band kinematics prevail. Thus, the localized buckling response is characterized by the rotation of a finite number of particles with a clearly defined length L*. For a wide range of material properties, L* is around eight particle diameters - the observed shear band thickness for many granular materials, most notably sand.
Keyword Bifurcation
Buckling
Instability
Localization
Periodicity
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status Non-UQ
Additional Notes From the issue entitled "Special issue: Developments in micromechanical modelling of granular materials/Guest edited by Fernando Alonso-Marroquin • Itai Einav • Antoinette Tordesillas"

Document type: Journal Article
Sub-type: Article (original research)
Collections: Non HERDC
Earth Systems Science Computational Centre Publications
 
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Created: Thu, 13 Oct 2011, 11:41:58 EST by Dr Jingyu Shi on behalf of Earth Systems Science Computational Centre