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Three-dimensional discrete dislocation dynamics (DDD) has been used successfully to investigate different aspects of plasticity. An investigation of thin-film plasticity with the help of these DDD schemes requires detailed modelling of the interfaces and surfaces of the film. One possible method is to compensate for the normal stresses that a dislocation population exerts on a surface by appropriate point loads. This traction compensation method is extended to a freestanding film, where the interaction of the two opposing free surfaces must be taken into account. The influence of the free surfaces on the operation of a Frank–Read source is investigated.