Mechanical property of anti-trichiral honeycombs under large deformation along the x-direction

The mechanical property of anti-trichiral honeycombs under large deformation along the x-direction are studied by both experiments and theoretical analysis. It's shown that the elastic-plasticity bending occurs in the ligaments besides the plastic hinges, which is very different from the deformation mode under the y-directional compression reported previously. Based on the cells' deformation mechanism observed in experiments, an analytical model is established to derive the Poisson's ratio and the crushing stress of the anti-trichiral honeycomb. The theoretical predictions are verified by the experimental results. It is shown that the crushing stress increases with the wall thickness t, but decreases with the ligament's length L. As for the Poisson's ratio, it increases with L, but decreases with the honeycomb's deformation, while the ligament's wall thickness t makes no difference to it. Moreover, it is revealed that the negative Poisson's ratio effect of the anti-trichiral honeycomb under the x-directional compression is stronger than that under the y-directional compression, while the superiority of the crushing stress along these two directions depends on the cell's geometry parameters.