An analytical model of the dynamic response of UHMWPE laminated plate to ballistic impact

This paper develops an analytical model for the ballistic impact response of UMHWPE laminated plate, which is capable of capturing transient transverse bulging deformation and flexural wave propagation. The mathematical framework of the analytical model is based on the is based on first-order shear deformation plate theory, which uses damage mechanics to model the progressive through-thickness fracture of the laminated plate. Compared to existing analytical models, the current model does not need to make assumptions for the travelling hinge speed which is solved via modal analysis and Lagrangian equation. Analytical predictions of transverse bulging deflection, travelling hinge position and ballistic limit velocity are validated against experimental data reported in the literature and they will be shown to be in good agreement for varying projectile sizes and laminate thicknesses. The maximum equivalent stress of the impact-receiving layer is found to be governed by the travelling hinge's position, which can be alleviated with the expansion of the bulging deformation area. At an impact velocity above the ballistic limit, the energy dissipated through transverse shear in the local penetration phase is significantly higher than in the subsequent bulging deformation phase.