Equivalent Out-Of-Plane Elastic Properties of Periodic Re-Entrant Honeycombs – Strain-Energy Approach and FE Modelling

Abstract

This study employs computational modelling and theoretical analysis to determine the out-of-plane elastic properties of re-entrant honeycombs. By extending the strain-energy method using Castigliano’s second theorem, a framework was developed to calculate these properties. Finite element (FE) modelling involved selecting a representative cell element (RCE) and applying periodic boundary conditions (PBC) to capture the periodic nature of the structure. The out-of-plane elastic properties derived from FE analysis closely matched with those from the strain-energy approach and were consistent with reference results. This work offers insights for designing periodic structures tailored to achieve specific mechanical properties.