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

Proc Math Phys Eng Sci. 2014 Jul 8;470(2167):20130856. doi: 10.1098/rspa.2013.0856.

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 beam-column 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.

Keywords: beam-column; cellular structure; in-plane loading; instability.