Understanding the Effect of Torsion on Auxetic Behaviors of Three-Dimensional Networks

Bond pruning has recently proved to be an effective method for designing auxetic networks. Previous theoretical work on auxetic networks includes bond compression terms only, which is a reasonable analog for tenuous systems and frictionless granular packings. For networks made in the laboratory, however, our recent work has shown that the auxetic behavior depends not only on geometry, but also on the interaction parameters, in particular the angle bending term. In three-dimensional networks, the torsion of local connected bonds provides an additional degree of freedom. Here we investigate the effect of torsion on the auxetic behavior of ordered and disordered 3D networks. The research provides insights for the design of 3D networks for the auxetic behavior.