Ballistic impact of woven, fiber-reinforced polymer composites is a dynamic process. A very short timescale following impact, preceding large deformation, stress waves propagate out from the point of impact. Although elastic wave propagation in solids is well known, the interaction of stress waves with mesoscale architecture and the potential for nucleating damage at lower length scales is not well understood. Stress wave propagation at the mesoscale is difficult to observe experimentally in woven composites, but finite element analysis provides a tool for studying the effects of stress wave propagation. In this work, a dynamic load is applied to a mesoscale model of a plain weave (PW) glass/epoxy composite to study the effects of through-thickness stress wave propagation on interfacial debonding. The models’ size and boundary conditions are sufficient to allow stress waves to interact with the mesoscale architecture and interfaces and to examine the stress fields produced with implications to nucleation of higher length scale damage.