The work demonstrates a formal approach of creating a reduced cost-effective computational model of the complex physical phenomena of high velocity impact of a missile upon the woven textile target. A model earlier developed by us in LS-DYNA finite element system has been employed as a reference model. The internal structure of the reference model was based on the mathematical representation of all contact interactions among the yarns of the woven structure. The reference model required time-consuming calculations, which were carried out by means of the explicit time integration scheme in LS-DYNA. The internal structure of the model synthesized in this work by using ANSYS finite element system was essentially simpler as it presented the woven structure by means of the girder, the interactions between nodal points of which were expressed by using elastic, viscous and friction link finite elements. Only contact interactions of the surface of the missile against the girder needed to be determined during each time integration step.