Due to mechanical stress during transport and storage, bulk material partly degrades and fines are produced. This can be problematic in various applications and is often responsible for high costs, energy consumption and emissions. In this work a model for the discrete element method is presented to simulate particle breakage during conveying processes. The breakage model is based on the particle replacement method. In contrast to other particle replacement models, mass and volume remain constant. The model has been verified and validated by a trial of shatter tests with blast furnace sinter. High mass flows and further breakage of fragments for processes with several damaging events, as found in industrial applications, can also be simulated. An application of this model is presented, where two different transfer chutes are compared with regard to material degradation. Simulation and test results are consistent.