Many soil-structure interaction systems experience a three-dimensional loading condition (i.e. shear coupling) at their interfaces. In this study, an elasto-plastic constitutive formulation for interfaces in soil-structure interaction problems is proposed considering the effects of 3D shear coupling loading conditions. The proposed model is capable of simulating granular soil-structure interfaces for both monotonic and cyclic loading over a wide range of normal stress and normal stiffness using a single set of eleven calibration parameters. The model is capable of simulating a number of complex interface behaviour, including hardening and softening, compaction, dilation and phase transformation, stress path dependency, accumulative contraction and stabilization, stress degradation and particle breakage under monotonic and cyclic loading. The constitutive model performance is examined using available experimental data for gravelly and sandy soil-structure interfaces subjected to monotonic and cyclic loads involving shear coupling. •An advanced 3-D elasto-plastic constitutive model for soil-structure interfaces under cyclic loading is proposed.•Capability of simulating cyclic behavior of granular soil-structure interfaces with a single set of 11 calibration parameters without recalibration.•Capability of simulating complex interface behavior, including shear and tangential coupling and stress path dependency.