Some concepts associated with fracture mechanics and some aspects of wave propagation theory are combined to produce an analysis of dynamic failure in a simple lattice structure. For the given model, the conditions for failure propagation and failure arrest in the lattice are derived and the location of failure arrest (if any) is computed. It is shown that failure arrest may be achieved by the introduction of a wave deflector that has material properties different from those of the remainder of the structure. With the proper choice of the material properties of the deflector, the failure process is arrested after it has passed into the deflector system. This paper is an example of one of the applications of the study of wave propagation in lattice structures and may serve as a basis for more complicated models of dynamic failure in such structures
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