Onset-of-instability in axially compressed rectangular and hexagonal honeycomb

摘要

We propose a theoretical approach to study instabilities in perfect honeycomb of infinite extent under general loading conditions based entirely on unit-cell calculations. It combines Bloch wave representation theorem and the analytical solution of the linearized von K´arm´an plate equation. Several geometries and loading cases are investigated. The results show that the buckling mode is highly dependent on the type of loading. The addition of transverse shear not only reduces the critical axial strain, but also affects the wavelengths of the critical eigenmode