Scale separation in granular packings: stress plateaus and fluctuations.

@article{citeulike:678890, abstract = {It is demonstrated, by numerical simulations of a 2D assembly of polydisperse disks, that there exists a range (plateau) of coarse-graining scales for which the stress tensor field in a granular solid is nearly resolution independent, thereby enabling an "objective" definition of this field. Expectedly, it is not the mere size of the system but the (related) magnitudes of the gradients that determine the widths of the plateaus. Ensemble averaging (even over "small" ensembles) extends the widths of the plateaus to subparticle scales. The fluctuations within the ensemble are studied as well. Both the response to homogeneous forcing and to an external compressive localized load (and gravity) are studied. Implications to small solid systems and constitutive relations are briefly discussed.}, address = {Laboratoire de Physique et M\'{e}canique des Milieux H\'{e}t\'{e}rog\`{e}nes (CNRS UMR 7636), ESPCI, 10 rue Vauquelin, 75231 Paris Cedex 05, France. chayg@lpmcn.univ-lyon1.fr}, author = {Goldenberg, C. and Atman, A. P. and Claudin, P. and Combe, G. and Goldhirsch, I. }, citeulike-article-id = {678890}, issn = {0031-9007}, journal = {Phys Rev Lett}, keywords = {granular}, month = {April}, number = {16}, posted-at = {2006-05-31 21:36:01}, priority = {2}, title = {Scale separation in granular packings: stress plateaus and fluctuations.}, url = {http://view.ncbi.nlm.nih.gov/pubmed/16712277}, volume = {96}, year = {2006} }

TY - JOUR ID - citeulike:678890 L3 - citeulike-article-id:678890 TI - Scale separation in granular packings: stress plateaus and fluctuations. JF - Phys Rev Lett VL - 96 IS - 16 AD - Laboratoire de Physique et Mécanique des Milieux Hétérogènes (CNRS UMR 7636), ESPCI, 10 rue Vauquelin, 75231 Paris Cedex 05, France. chayg@lpmcn.univ-lyon1.fr SN - 0031-9007 N2 - It is demonstrated, by numerical simulations of a 2D assembly of polydisperse disks, that there exists a range (plateau) of coarse-graining scales for which the stress tensor field in a granular solid is nearly resolution independent, thereby enabling an "objective" definition of this field. Expectedly, it is not the mere size of the system but the (related) magnitudes of the gradients that determine the widths of the plateaus. Ensemble averaging (even over "small" ensembles) extends the widths of the plateaus to subparticle scales. The fluctuations within the ensemble are studied as well. Both the response to homogeneous forcing and to an external compressive localized load (and gravity) are studied. Implications to small solid systems and constitutive relations are briefly discussed. KW - granular AU - Goldenberg, C AU - Atman, AP AU - Claudin, P AU - Combe, G AU - Goldhirsch, I PY - 2006/04/28/ UR - http://view.ncbi.nlm.nih.gov/pubmed/16712277 ER -