Geometric construction of auxetic metamaterials

Abstract

Figure 1: Vertical compression (left) and extension (right) of a laser-cut auxetic irregular network in rest state (middle) computed by our purely geometric process. Notice the horizontal, transversal contraction (left) and extension (right) characteristic of an auxetic behavior. The compressed network exhibits a Poisson's ratio n = 0.94 for an applied strain ey = 7.1%. The extended network exhibits a Poisson's ratio n = 0.46 for an applied strain ey = +3.3%. Strains are applied symmetrically to the top and bottom boundaries.

Automated Generation of Flat Tileable Patterns and 3d Reduced Model Simulation

“…Another line of work focuses on the design of irregular smallscale structures. The authors in [21] propose a method for generating irregular auxetic networks, primarily founded on geometric criteria. The generation of stochastic and irregular microstructures was previously explored also in [22,23,24,25].…”