Including degree of capillary saturation into constitutive modelling of unsaturated soils

The degree of saturation (S) of soil can be separated into two components: the degree of capillary saturation (S^′) that is based on the capillary water and the degree of adsorptive saturation (S^″) that is based on the adsorbed water. This paper discusses the role of the degree of capillary saturation (S^′) in modelling the coupled hydro-mechanical behaviour of unsaturated soils and proposes a new constitutive model for unsaturated soils by using the degree of capillary saturation (S^′) and the effective inter-particle stress (σ_ij ^′). An enhanced hydraulic model is introduced to describe the hydraulic hysteresis and hydro-mechanical interaction in terms of the degree of capillary saturation (S^′). In the proposed constitutive model, the shear strength, yield stress and deformation behaviour of unsaturated soils are governed directly by the above two constitutive variables, namely σ_ij ^′ and S^′. To be in line with the existing finite element frameworks for unsaturated soils, the proposed model is eventually generalised to constitutive functions consisting of only primary variables such as the net stress (σ_ij), suction (s) and degree of saturation (S). The typical performance of the model for simulating the characteristic trends of unsaturated soil behaviour is discussed in several different scenarios. The model is then validated against a variety of experimental data in the literature, and the results show that a reasonable agreement can be obtained using this new constitutive model.