COMPUTATIONAL MODEL FOR SATURATED SAND SUBJECTED TO CYCLIC LOADING

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  • Computational Model for Saturated Sand

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The paper presents an analytical model for calculating permanent strains and accumulated pore water pressure due to cyclic loading of saturated sand. The proposed formulation is based on concepts analogous to viscoelasticity to predict strains and pore pressures at the end of one or more cycles of loading without an explicit description of the hysteretic sand behaviour within each cycle. Attention is focused on developing general expressions which also partly account for soil anisotropy and the effect of principal stress rotation. The model parameters are derived empirically from the results of drained or undrained static and cyclic triaxial and simple shear tests. The proposed constitutive equations are incremental, in terms of effective stresses, so that they may be applied to predict permanent strains and accumulated pore water pressure under various drainage and boundary conditions. To illustrate the merits of the proposed formulation, comparisons are presented of computed and recorded response in drained and undrained cyclic triaxial tests, as well as in constant volume cyclic torsional shear tests. The good agreement observed in the comparisons, suggests that the theoretical model, presented here, is a practical alternative to hysteretic stress-strain models for computing permanent strain and accumulated pore pressure.

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