Dynamic response of composite sandwich plates reinforced by SMA wires under low-velocity impact, based on a new higher-order hyperbolic global–local theory

The attempts to resolve shortcomings of the equivalent single-layer and layerwise theories has resulted in the development of the global-local plate theories. In the present paper, dynamic responses of rectangular sandwich plates with composite face sheets reinforced by SMA wires under low-velocity impact is investigated using a new higher-order hyperbolic global-local theory. In order to obtain accurate results, non-uniform and time-dependent distribution of the phases of the SMA and the transverse compliance of the soft core are considered. A refined contact law is proposed instead of using the traditional Hertz law and different contact laws are considered for the loading and unloading phases. Stiffness effects of all layers along with effect of the plate thickness on contact stiffness are considered. The obtained nonlinear finite element governing equations are solved by making use of an iterative algorithm at each time step. The present results are compared with the experimental results, and the current results and verified. Finally, effects of the SMA wires, presence of the auxetic core, stiffness of the core, thickness of the core, eccentricity of the impact and the in-plane biaxial preloads on impact responses of the sandwich plat are investigated. The results show that the tensile biaxial preloads increase the contact force and martensite volume fraction and decrease the lateral deflection and contact time due to the reduction of the lateral mobility of the plate and increasing the stiffness of the structure whereas compressive biaxial preloads, due to the tendency to create larger deflections, lead to opposite results.