TY - JOUR

T1 - A characteristic length scale in confined elastic buckling of a force chain

AU - Tordesillas, Antoinette

AU - Hunt, Giles

AU - Shi, Jingyu

PY - 2011/6

Y1 - 2011/6

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=79958162161&partnerID=8YFLogxK

UR - http://dx.doi.org/10.1007/s10035-011-0252-9

U2 - 10.1007/s10035-011-0252-9

DO - 10.1007/s10035-011-0252-9

M3 - Article

SN - 1434-5021

VL - 13

SP - 215

EP - 218

JO - Granular Matter

JF - Granular Matter

IS - 3

ER -