On the transverse shear modulus of negative Poisson's ratio honeycomb structures

The transverse shear modulus of in-plane negative Poisson's ratio honeycombs is determined using numerical simulations. General honeycombs have theoretical upper and lower bounds of transverse shear moduli. The actual transverse shear modulus is an intermediate value, depending on the relative density and the gauge thickness ratio. The difference between upper and lower bounds is particularly significant for negative Poisson's ratio honeycombs. Finite element simulations confirm the theoretical trend, and show gauge ratio dependence different from that envisaged in the literature for conventional honeycombs. A modified approximate formula is thus proposed to predict the actual transverse shear modulus for honeycombs having in-plane negative Poisson's ratio values.