A critical state model for sands dependent on stress and density

An elastoplastic model for sands is presented in this paper, which can describe stress-strain behaviour dependent on mean effective stress level and void ratio. The main features of the proposed model are: (a) a new state parameter, which is dependent on the initial void ratio and initial mean stress, is proposed and applied to the yield function in order to predict the plastic deformation for very loose sands; and (b) another new state parameter, which is used to determine the peak strength and describe the critical state behaviour of sands during shearing, is proposed in order to predict simply negative/positive dilatancy and the hardening/softening behaviour of medium or dense sands. In addition, the proposed model can also predict the stress-strain behaviour of sands under three-dimensional stress conditions by using a transformed stress tensor instead of ordinary stress tensor.