Buckling of regular, chiral and hierarchical honeycombs under a general macroscopic stress state

Abstract

An approach to obtain analytical closed-form expressions for the macroscopic 'buckling strength' of various two-dimensional cellular structures is presented. The method is based on classical beamcolumn end-moment behaviour expressed in a matrix form. It is applied to sample honeycombs with square, triangular and hexagonal unit cells to determine their buckling strength under a general macroscopic in-plane stress state. The results were verified using finite-element Eigenvalue analysis. © 2014 The Author(s) Published by the Royal Society. All rights reserved.