Linear In-Plane Elasticity of a Polygon Honeycomb Core with Zero Poisson’s Ratio

Abstract

Abstract This paper reports a zero Poisson’s ratio honeycomb core with a polygon shape. Compared with the traditional hexagonal honeycomb, a unit cell of the proposed polygon honeycomb core was modified. As it turns out, this variation results in great mechanical property diversity of variable in-plane elasticity as compared with the traditional hexagonal honeycomb. The elastic constants were investigated via theoretical approach, and finite element (FE) models were conducted to verify the theoretical results. The developed theoretical models for calculating the in-plane elastic modulus are based on the Euler-Bernoulli beam theorem and energy principle. A topological analysis of the polygon honeycomb core was conducted to classify the changing geometry into three styles. The in-plane elastic modulus derived from the FE results showed a very high similarity to the theoretical calculation in the three changing geometry styles. The theoretical results of the in-plane elastic modulus are able to capture the changing trend in the whole geometry.