GRAIN ROTATION VERSUS CONTINUUM ROTATION
DURING SHEAR DEFORMATION OF GRANULAR ASSEMBLY
TAKASHI MATSUSHIMA, HIDETAKA SAOMOTO, YOSUKE
TSUBOKAWA and YASUO YAMADA
ABSTRACT: The importance of grain rotation
during shear deformation has been widely recognized in the mechanics
of granular materials, which has led to extensive use of the
Cosserat continuum theory in localization problems. Strain gradient
theory, which relates the macro deformation gradient to higher-order
stresses, is another possibility to overcome the ill-posedness
of governing equations. This paper attempts to show an experimental
basis for applying strain gradient theory to granular media.
LAT (Laser-Aided Tomography), a technique to visualize the interior
of 3-D granular assembly, is used to detect the grain rotation
as well as the continuum rotation. A Discrete Element simulation
is also conducted to reinforce the experimental data. It is
concluded that the average grain rotation is roughly identical
to the continuum rotation, which supports the applicability
of rotational gradient theory, a particular case of strain gradient
theory from the micro-mechanical point of view.
Key words: Cosserat continuum, DEM (Discrete
Element Method), LAT (Laser-Aided Tomography), micromechanics
of granular materials, strain gradient theory (IGC:D6)