In this investigation, we realize the idea to link reinforcement positions of plane constructions with points of origin of the largest kinematic and dynamic characteristics after impact on the target. It is assumed that the largest dynamic characteristics, e.g. stresses, arise in the intersection points of wave surfaces, which 3542 Alexey A. Loktev et al. have experienced multiple reflections from the boundaries of the target. The origin and propagation of wave surfaces with finite velocities in the proposed model of the deformation of a flat target become possible due to the use of hyperbolic equations of Uflyand-Mindlin-Reissner type describing dynamic displacements of the points of the plate with consideration of the transverse shear deformation and rotational inertia of cross-sections. In this paper, we propose an algorithm taking into account different rheological properties of the interacting bodies, which is based on the analytical method of representation of unknown quantities in the form of expansions in a spatial coordinate and time, initial and boundary conditions, compatibility conditions. The final integro-differential equations are solved using numerical computational schemes. Moreover, the creation of algorithms for calculating impact interactions with a given wave portrait in colliding bodies, as well as their implementation in a software application with a simple and intuitive interface are desirable. In this paper, we developed a computational algorithm and a software system and tested them on the example of a flat target composed of materials with various mechanical characteristics. Furthermore, we provide specific recommendations for locations of reinforcing filaments or rods in the composite material.