Analytical study the ballistic behavior of thin laminated composite plates based on tsai-hill and maximum strain criterions

In this paper, a 2D analytical model is introduced for predicting the ballistic behavior of the thin laminated composite plate based on tsai-hill and maximum strain criterions. At first, try to determine the moment deformation along with the expansion of transverse wave from impact point and the nonlinear strains and stresses in the composite plate. Then, the energy absorbed due to failure modes and deflection of composite plate such as elastic deformation energy, longitudinal and lateral fracture energy, kinetic energy of local movement, delamination and matrix cracking energy is calculated. For investigation of the various failed layers is used of tsai-hill and maximum strain criterions. In addition to the effects of strain rate on the mechanical properties of the composite layers is applied momentarily during Penetration process. Finally, the present analytical model based on tsai-hill and maximum strain criterions is compared with experimental results. The maximum strain criterion respect to tsai-hill criterion has shown a good agreement with experimental results in the calculation of ballistic limit velocity. According to the obtained results the share of fracture energy compared to the elastic deformation energy by increasing the thickness becomes more and more. And also, the kinetic energy of the local movement, delamination and matrix cracking energy have lower share in the process of energy absorption.