A Simple Estimation Method for Ultimate Strength of Curved Plates Under Axial Compression

Abstract

Abstract A simple estimation method for ultimate strength of curved plates under axial compression is proposed. Existing estimation methods are mostly empirical based on plastic correction of elastic buckling strength or curve fitting the results of test or nonlinear finite element analysis (NLFEA). For more rational design, it is important to develop a method having more theoretical basis in accordance with physical phenomena including post-buckling behavior, yielding behavior, and effects of initial imperfections and material properties as well as the elastic buckling strength. A series of NLFEA is performed to investigate the buckling and collapse behavior of curved plates under axial compression. Using identified buckling modes and applying the elastic large deflection theory, elastic post-buckling behavior is formulated. The ultimate strength is estimated by checking yielding at specified locations depending on the collapse modes. The proposed method gives the ultimate strength without any iterative calculations. The applicability of the proposed method is demonstrated though a comparison with NLFEA results.