A generalization of Reiner's mathematical model for wet sand

Mehrdad Massoudi
2011 Mechanics research communications  
In this paper we modify the constitutive relation derived by Reiner (1945) , to describe dilatancy in wet sand, by suggesting that the shear viscosity would depend on the shear rate and the volume fraction. We then look at the flow of a saturated densely packed bed of particles (with liquid in the pores) between two horizontal flat plates. We obtain exact solutions for a very special case.
doi:10.1016/j.mechrescom.2011.05.002 fatcat:ksxpkpa37zcepbjth7zdzhppx4