On the Design and Mechanical Properties of a Novel Tubular Auxetic Anti-Tri-Missing Rib Structure

Abstract

In a previous work, the authors proposed a novel planar isotropic anti-tri-missing rib structure exhibiting excellent negative Poisson’s ratio (NPR) performance within extremely large strain range. Building upon this foundation, a novel tubular auxetic anti-tri-missing rib structure is further proposed in this work. By utilizing the Castigliano’s theorem, the theoretical formulae of the effective mechanical properties of the proposed auxetic tubular structure were then established to facilitate the understanding of the underlying microstructural mechanisms. Discussions of the analytical solutions were presented to elucidate different roles of the microstructural geometry on the effective mechanical properties of the proposed design. Results indicate that desired mechanical properties will be obtained by adjusting the geometrical parameters. The analytical solutions were also validated by systematic finite element (FE) analyses, which align well with theoretical values, confirming the feasibility of the developed theoretical formulae. The research findings presented herein provide theoretical foundations and design insights for the practical application of the auxetic tubular meta-structures.