Analysis on the collapse stress of auxetic tubular anti-tetrachiral structures

Abstract

The growing demands for enhanced impact resistance in modern engineering necessitate the exploration of novel materials with superior properties. Among these materials, the tubular anti-tetrachiral structure (TATS) emerges as a promising 3D metamaterial, exhibiting exceptional characteristics owing to its auxetic effect. Nevertheless, the investigation into the collapse stress of TATSs subjected to impact remains limited. Thus, this study aims to examine the deformation modes exhibited by TATSs under both low and high velocity impacts, while also deriving the theoretical expression for collapse stress through rigorous theoretical derivations. Furthermore, we delve into the analysis of the influence exerted by impact velocity and structural geometric parameters on the collapse stress of the TATS. Sensitivity analysis is performed to identify structural geometric parameters that display heightened sensitivity, and the interplay between impact velocity and these parameters is carefully scrutinized. The findings presented in this paper furnish a robust theoretical foundation for the design and exploration of TATSs.