A finite element model of paraaramyde Twaron multilayer fabrics package structure has been developed in order to simulate the shooting-through test and to clarify the process taking place during the mechanical contact interaction between the packed and a bullet. The simplification of the model has been obtained by means of ?mezzomechanical? approach which avoids the direct modeling of filaments that comprise a yarn. Instead, yarns have been modeled by using thin shell elements the thickness of which represents the real thickness of yarns as it can be measured in the weave. By selecting a single integration point over the shell height the bending stiffness has been eliminated as in reality it is expected to be very small because of the multi-filament structure of a yarn. The interaction model consists of a small sheet of a woven structure that comes into mechanical contact with an elasticplastic model of a bulled moving with high velocity. Basing on the data obtained during uniaxial tension experiments, the Twaron material is assumed to be elastic up to its failure limit. The influence of different boundary conditions, number of layers in a package and inter-layer friction has been examined. The simulation has been performed by means of the LSDYNA software.