Theoretical modeling and optimization of the plateau force of tubular anti-tetrachiral structures

Abstract

Abstract Modern engineering has an increasing demand for engineering structures with various desired properties. Metamaterials are endowed with multiple functions by changing the type of structural unit cell or geometric parameters, and show many advantages over traditional materials. However, there exists a gap in the research of the compressive theory of tubular anti-tetrachiral structure. In this study, we investigated the deformation theory of tubular anti-tetrachiral structure subjected to quasi-static compression. We derived the expressions for the plateau stress and plateau length of the structure, and analyzed the impact of geometric parameters on the safety parameters (i.e. plateau stress and plateau length). We performed multi-objective optimization within a limited range of geometric parameters and obtained a set of parameters that increased the plateau stress and plateau length by 244.24% and 3.25%, respectively, when compared to the initial parameters. Our findings provide a foundation for the application of tubular anti-tetrachiral structure.