The behavior of plate in compression plays a basic role in relevant research. There are significant differences between stainless steel and carbon steel plates in structural behavior. Analysis on the behavior of stainless steel plate in compression was presented. The development of FE models for analyzing stainless steel plates in compression was described based on the results of Rasmussen's test. And the strength curve was achieved by such advanced FE models with a high degree of accuracy. The explicit strength equations and design method were proposed for determining the local buckling strength of stainless plate and cold formed rectangular hollow section in compression. It is shown that the numerical simulation results achieved by using Quach model are accurate.