I. Introduction
Composite thin-walled tube (CTWT) as a typical structure with high strength and light weight has been widely used in engineering. Compared with the traditional metals, composite material has excellent fatigue resistance properties, which can substantially improve the fatigue life of the component such as the driving shaft. Buckling and failure of CTWTs are the key points for the design analysis in the case of the torque load. According to the theory of thin shells, scholars have obtained the analytic expressions of composite cylindrical shell buckling load under torque in previous [1]–[3]. The buckling loads and modes of composite cylindrical shells under torque were calculated by the geometric nonlinear finite element method [4]. Because of buckling of CTWTs, the torsion bearing capacity of circular tube is reduced, it is great importance to improve torsional buckling load of circular tubes filled with light materials.