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• W2557100571 abstract "Violations of the indicated conditions, particularly cases of the successive application of external loads of different direction, cannot be taken into account within the scope of the deformation theory [i]. The solutions of the mixed problem involves calculation of the stresses and strains in both the elastic and plastic regions. In the elastic region the stresses are directly related to total strain by nonlinear or linear relations. In plastic regions there is no oneto-one correspondence between them and incremental relations between the increments of plastic strains and stresses [2], which must be integrated, following the history of deformation from the moment of formation of the limit state in the soil medium, should be used for determining the plastic strain components. In the proposed [3, 4] method of solving the mixed problem the determining relations between increments of plastic strains and stresses are examined in variants of nonassociated and associated laws of plastic flow. We note that a comparison of the results of calculations with the data of measurements in experiments, which was made in [5, 6], revealed the admissibility of using the associated law for bases of dense and average-density soils, i.e., for practically the majority of bases encountered, without using the laborious (and inacurrate) determination of the Coefficient (rate) of dilatation of the soil, which is an additional parameter of the nonassociated model. The indicated conclusion is confirmed by a comparison of the results of the solutions of mixed problems obtained within the scope of the associated and nonassociated flow laws, even in the case of a considerable difference between the calculated dilatation coefficient and that predicted by the associated law [4]. In particular, in the case of plane strain the adoption of a dilatation coefficient A = 0.5sin 4, which is characteristic for moderately dense soils, instead of A = sin ~ (associated flow) increases settlements of the base by only 10-15%, i.e., both flow laws give almost the same results. The dependence of deformations of a soil specimen on the trajectory of its loading in instruments has been noted in many experiments, for example, in il, 7]. At the same time, there are no systematic experimental and mathematical investigations of the degree of effect of the load trajectory on the stress--strain state of a soil base. The results of solving mixed problems of plane strain for cases of sufficiently simple, experimentally feasible load trajectories are given below for estimating this effect." @default.
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• W2557100571 title "AND STRAIN OF THE BASE" @default.
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