TY - CHAP
T1 - Advances in multiscale modeling of granular materials
AU - Li, Xikui
AU - Liang, Yuanbo
AU - Du, Youyao
AU - Schrefler, Bernhard
PY - 2016/1/1
Y1 - 2016/1/1
N2 - The paper reports recent advances in multiscale modeling of granular materials, particularly in the second-order computational homogenization method and corresponding global-local mixed FEM-DEM nested analysis scheme. The gradient Cosserat continuum and the classical Cosserat continuum are assumed for modelling granular media at the macro- and meso-scales, respectively. According to the generalized Hill’s lemma formulated for the adopted meso-macro continuum modeling the non-uniform macroscopic strain field with macroscopic strain gradients is downscaled to each representative volume element (RVE), while satisfaction of the generalized Hill-Mandel condition is ensured. The advantage of the gradient Cosserat continuum model in capturing the meso-structural size effect and the performance of the proposed second-order computational homogenization in the simulation of strain softening and localization phenomena are demonstrated, without need to specify macroscopic phenomenological constitutive relationship and material failure model.
AB - The paper reports recent advances in multiscale modeling of granular materials, particularly in the second-order computational homogenization method and corresponding global-local mixed FEM-DEM nested analysis scheme. The gradient Cosserat continuum and the classical Cosserat continuum are assumed for modelling granular media at the macro- and meso-scales, respectively. According to the generalized Hill’s lemma formulated for the adopted meso-macro continuum modeling the non-uniform macroscopic strain field with macroscopic strain gradients is downscaled to each representative volume element (RVE), while satisfaction of the generalized Hill-Mandel condition is ensured. The advantage of the gradient Cosserat continuum model in capturing the meso-structural size effect and the performance of the proposed second-order computational homogenization in the simulation of strain softening and localization phenomena are demonstrated, without need to specify macroscopic phenomenological constitutive relationship and material failure model.
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U2 - 10.1007/978-3-319-21494-8_5
DO - 10.1007/978-3-319-21494-8_5
M3 - Chapter
AN - SCOPUS:85027352752
T3 - Springer Tracts in Mechanical Engineering
SP - 63
EP - 73
BT - Springer Tracts in Mechanical Engineering
PB - Springer International Publishing
ER -