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 -