A theoretical model for the estimate of the reaction force for 3D auxetic anti-tetra chiral tubular structures under tensile loads

摘要

Auxetic, anti-tetra-chiral structures designed as tubes subjected to tensile quasi-static loads, were investigated in this research. Experimental work was carried on samples manufactured by laser cutting from a pipe, while numerical simulations were performed using a parametric numerical model of the structure. Based on the representative unit's deformation characteristics, theoretical calculation models were established to estimate the reaction force developed in the structure under tensile load. According to Bernoulli's beam model, force calculation based on the deformation mechanism was revealed from the plastic hinge's structural design and theory. The analytical solution was validated against results obtained numerical simulation for various configurations. There is a good agreement between experimental, numerical, and theoretical results. The proposed model comes as an extension to the existing knowledge in the field, that is mostly addressing the elastic behavior, and it is designed to provide a solution to the elasto-plastic behavior. The set of equations can be used to design this structure when the capable load is one of the design parameters.