Until now computer simulation has already successfully assisted in improving the design and operation of cone crushers in the mining and aggregate industries. However, simulations using the discrete element method, coupled to realistic breakage models, are the next step towards designing confidently these machines in a fully virtual environment. The work shows the application of a novel breakage model fitted using single-partide breakage information and polyhedral particles to simulate a laboratory-scale cone crusher. Simulations of crushing three materials with widely different characteristics were in good agreement with experiments for throughput and only reasonably good for specific energy and product size. Sensitivity of simulations to closed side setting, stroke and frequency showed good qualitative agreement to experience. Simulations of crushing of blends containing mixtures of tough and soft components then demonstrated that crusher throughput does not drop proportionally to the increase in the amount of tough material in the feed. (C) 2020 Elsevier B.V. All rights reserved.