The consideration of fabric anisotropy in the simulation of granular materials is crucial in geotechnical engineering. Conventional models for granular materials that account for fabric anisotropy are typically based on the anisotropic critical state theory, where a fabric tensor is incorporated in the critical state formulation. However, the formulation of the fabric tensor in critical state theory is largely empirical and lacks a clear physical interpretation. A promising alternative is the multi-scale micromechanical model, which directly incorporates fabric anisotropy through the averaging of microscale quantities. The CH micromechanical model is an inter-particle-plane-based framework in which inelastic behavior is fully defined at inter-particle contacts. Although the CH micromechanical model has been extended to simulate unsaturated soils, clays, grouted soils and lunar soils by modifying the microscale Coulomb-type contact law, the potential of integrating arbitrary contact laws into the CH micromechanical framework has not been fully explored. In this paper, we introduced a novel contact law into the CH micromechanical model to simulate granular materials with fabric anisotropy. The performance of the model is validated by comparing simulation results with experimental data from triaxial tests on sand. These results demonstrate that the integrated model effectively captures fabric anisotropy in granular material simulations, offering a promising alternative for geotechnical applications.