@article{oai:oist.repo.nii.ac.jp:00001215,
 author = {Bandi, M. M. and Das, Prasenjit and Gendelman, Oleg and Hentschel, H. George E. and Procaccia, Itamar},
 journal = {Granular Matter},
 month = {May},
 note = {Compressed frictional granular matter cannot flow without dilation. Upon forced shearing to generate flow, the amount of dilation may depend on the initial preparation and a host of material variables. On the basis of both experiments and numerical simulations we show that as a result of training by repeated compression-decompression cycles the amount of dilation induced by shearing the system depends only on the shear rate and on the (pre-shearing) packing fraction. Relating the rheological response to structural properties allows us to derive a scaling law for the amount of dilation after n cycles of compression-decompression. The resulting scaling law has a universal exponent that for trained systems is independent of the inter-granules force laws, friction parameters and strain rate. The amplitude of the scaling law is analytically computable, and it depends only on the shear rate and the asymptotic packing fraction.},
 title = {Universal scaling laws for shear induced dilation in frictional granular media},
 volume = {21},
 year = {2019}
}