Mathematical models describing the mechanical behavior of soils loaded with different degrees of physical certainty are used in analyzing beds and earthen structures; this results in discrepancy between theoretical and experimental strength and deformability values. The accuracy of these calculations will depend to a significant degree on the consideration given to the most significant characteristic features of soil deformation in the mathematical model.The theory of plastic flow is currently preferred for description of nonlinear deformation of soils. Here, the principal problem is the determination of the yield condition and the load surface corresponding to the latter in stress space, on the attainment of which plastic deformations develop.In our study, we propose an alternate scheme of model for nonassociative plastic flow of a soil, which generalizes constitutive equations for the special case of the plastic flow of an incompressible medium [1] during arbitrary dilatancy. Alternate Model for Nonassociative Plastic FlowWe will consider that total strain increments are summed from the elastic and plastic increments. Then,can be written for the principal strain increments. The principal elastic-strain increments are related to the principal stress increments by Hooke's lawA model of the elasto-plastic deformation of soils prone to dilatational softening is proposed. The deformations of softening soils are calculated on the basis of equations developed with use of experimental curves of the coefficients of friction and dilatancy versus bulk plastic strain. The interaction between a rigid square plate and a sandy bed is modeled numerically.
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