Dynamic crushing of double-arrowed auxetic structure under impact loading

Double-arrowed auxetic (DAA) structures with a negative Poisson's ratio have recently drawn increasing attention. This paper deduces the empirical formula of critical impact velocity to characterize the deformation modes of the DAA structures in two in-plane directions. A method is proposed to construct a theoretical model for predicting the dynamic crushing strength of DAA structure. The theoretical model is validated by numerical results to be sufficiently accurate to predict the dynamic crushing strength. It is also found that the dynamic crushing strength is only related to the relative density and impact velocity.