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)