Analytical modeling to predict dynamic response of Fiber-Metal Laminated Panel subjected to low velocity impact

This paper presents a new analytical method for low velocity impact on sandwich plates with Fiber Metal Laminate (FML) face sheets subjected to static indentation of a blunt end cylindrical indenter. The sandwich plate was composed of laminated face sheets and a rigid–plastic core. The core-crushing strength in the vertical direction was assumed constant. In this method, using of principle of minimum potential energy and the use of energy-balance model between indenter and sandwich plate, contact unknown coefficients corresponding with Hertizian contact law are obtained. The elastic strain energy resulting from bending in the sandwich plate and external work due to indentation load are evaluated using an appropriate shape function for the sandwich plate deformation. The maximum contact force using two-degree-of-freedom(2DOF) spring-mass model was found through an iterative process. Limitation of using Hertzian contact law for sandwich plates is determined. The results are in good agreement with the experimental and numerical results. The results indicated that some of parameters such as the layer sequence, mass and velocity of impactor in a constant impact energy level and aspect ratio of sandwich plate are important factors affecting the dynamics response of the sandwich panel..