Experimental, numerical and analytical investigation of 2D tetra-anti-chiral structure under compressive loads

The present work is focused on the investigation of tetra-anti-chiral structures by means of experimental, numerical, and analytical methods. Specimens with different lengths of the ligaments were manufactured by laser cutting and were tested under a compressive load to investigate the value and evolution of Poisson's ratio. Based on the experimental investigation of the material used to manufacture the samples, finite element models were developed and solved using Ls-Dyna. Subsequently, based on the strain energy approach, an analytical solution for the estimate of the Poisson's ratio was derived. The solution is capable of estimating the value for structures with various configurations, including lengths and thickness of the ligaments. A simple beam finite element model was developed and implemented for solving in MATLAB, to extend the capabilities for evaluation and design of structures with specific parameters. An overall comparison of results is presented, showing a good agreement between datasets. The present work might set the background for future activities, allowing for a selection of individual investigation methods.