Buckling Analysis of Circular Torus Weaves With In-Plane Curved Ribbons Available to Purchase

Circular torus weaves with in-plane curved ribbons exhibit smaller topological defects and a smoother structural configuration. However, the use of circular torus weaves in engineering is hampered by their unclear buckling mechanical properties. This study aims to investigate the buckling behavior of circular torus weaves with in-plane curved ribbons under vertical load through experiments and finite element method. It is indicated that circular torus with in-plane curved ribbon demonstrated greater stability. Failure modes of a circular torus weave include involve inward deformation of the ribbon at the crown line and convex deformation of the node at $θ=π/2$⁠. The circular torus weaves with ribbons of thicker thickness or wider width exhibited remarkable load-bearing capacity and initial stiffness. The geometric features of circular torus weaves can be characterized using local Gaussian curvature rather than the axial ratio, and it has been observed that the critical buckling load of the structure increases with the increase of the Gaussian curvature. The closed solution proposed in this article can accurately predict the critical buckling load of the circular torus weaves. These findings are expected to provide a valuable reference for structural design and buckling bearing capacity prediction.