An energy approach-based method is proposed to derive a correlation between the cumulative volume and cumulative shear strains (i.e. the first and second strain invariants). Capability of the derived relationship for modeling the dilative and contractive characteristics is demonstrated through the use of two sets of experimental data. This relationship is also validated in detail by comparing the predicted results with the measured ones obtained from cyclic triaxial tests on sands. The energy approach provides a relationship between cumulative strain ratio and static stress ratio. The soil behaviour characteristics shown by The derived relationship are listed.
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