Buckling Behavior of Corroded Four-Sided Simply Supported Plates with Longitudinal Stress Gradients

Abstract

This paper mainly investigated the buckling behavior of corroded four-sided simply supported plates with longitudinal stress gradients. The effect of corrosion surface topography on the buckling behavior of the four-sided simply supported plate was investigated by reverse reconstruction. The eigenvalue buckling analysis was also carried out to reveal the influence of corrosion depth, area, and location on the buckling load of simply supported plates. Based on the analysis, the theoretical formula of the buckling load of corroded four-sided simply supported plates with longitudinal stress gradients was established by the energy method. The results showed that the first order buckling mode of corroded plates was asymmetric and the highest peak was located in the weak section. The stress state led the corrosion parameters to have different effects on the buckling load of four-sided simply supported plates. The corrosion location had little effect on the buckling load of four-sided simply supported plates under uniform pressure. However, for the plate under nonuniform pressure, the closer the distance between the corrosion location and the compression zone of plate, the smaller the buckling load was. The perforation changed the force mechanism of the plate, and the noncorroded part surrounding the opening hole formed a new three-sided simply supported plate, leading to an increase in the buckling load. Finally, on the basis of the response surface method, the key parameters governing the local buckling were identified, leading to an easy-to-use formula to determine the buckling load.