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In this paper, we present a novel parallel implementation of extrinsic initially rigid cohesive elements in an explicit finite element solver designed for the simulation of dynamic fracture events. The implementation is based on activiating instead of inserting the cohesive elements and uses ParFUM, a parallel framework specifically developed for simulations involving unstructured meshes. Issues associated with the spatial and temporal convergence of the resulting scheme are discussed, together with aspects of the parallel implementation. We present scalability results obtained with the parallel cohesive finite element code which is validated by simulating the trapping of a crack along an inclined material interface.