In-plane crushing behavior of density graded cross-circular honeycombs with zero Poisson's ratio

By combining circular cells and folded plates, this paper establishes a cross-circular honeycomb model. The model has a simple micro-topological structure. Through theoretical analysis and numerical simulation, we derive a semi-empirical equation describing the plateau stresses of cross-circular honeycombs and investigate their in-plane impact behavior. Hence, this paper primarily discusses the effect of gradient arrangement on the deformation mode, plateau stress, and energy absorption capacity of hollow-circular and cross-circular honeycombs with the same relative density at different impact velocities. The study results indicated that the deformation mode of the cross-circular honeycombs exhibited a zero Poisson's ratio, and these honeycombs exhibited a high plateau stress and high capacity for energy absorption. A density graded design could control the dynamic response characteristics of the cross-circular honeycombs within a wider range of impact velocities. Furthermore, the design of the symmetric gradient distribution provided the density graded cross-circular honeycombs with a multi-directional gradient deformation characteristic.