JOURNAL DE PHYSIQUE IV
                                    Colloque C8, supplkment au Journal de Physique III, Volume 4, septembre 1994
                                     
                                    Analytical modelling of composite panels subjected to impact loading
                                    C. Navarro, J. Rodriguez* and R. CortCs*
                                    Department of Engineering, Carlos 111 University,
                                    Avda. de Butarque 15, Legangs, 28911 Madrid, Spain * Department of Materials Science, Polytechnic University of Madrid, E.T.S.J. de Caminos, Canales y
                                    Puertos, Ciudad Universitaria sln, 28040 Madrid, Spain
                                     
                                    To illustrate the model prediction capability, the problem of
                                    a 9mm Parabellum projectile impacting
                                    against a 34 layer polyethylene
                                    fibre composite with an elastomeric matrix is analyzed. The composite is
                                    fabricated by DSM and its commercial name is Dyneema UD66. Following
                                    the manufacturer's information
                                    the fibre density is 970 kg/&, the areal density of a ply is about 0.166 kg/&, and the number of fibres per
                                    centimetre is 5.9. In Table 1
                                    the results of the predictions are compared with some manufacturer's data [6],
                                    for the impact problem on a composite of areal
                                    density of 5 kg/m2 at two projectile velocities below the
                                    ballistic limit. Predictions are made at each velocity for two
                                    different impacts, case A corresponding to a
                                    projectile radius of 4.5 mm (standard
                                    radius of the projectile), and case B for a radius of 6.0 mm (typical
                                    value of the radius of the considered projectile after impacting a composite target).
                                     
                                    It was also analyzed the problem of a 7.62*51 Ball projectile at 820 m/s
                                    impacting 150 plies of a
                                    Dyneema UD66 composite 25 mm thick. Experimentally the projectile is defeated
                                    by the composite armour.
                                    In applying the engineering model it was necessary to assume a maximum breaking stress corresponding
                                    to a strain in the composite about 6.46 %, which greatly exceeds the maximum static strain that this material
                                    can support although dynamic tests carried out using a Hopkinson Bar device lead to values of the critical strain close to
                                    5 %.