Abstract
This chapter deals with the fundamental theory and method for the analysis of buckling/plastic collapse behavior of rectangular plates and stiffened plates subjected to combined in-plane loads. First, based on the fundamentals in the bucking collapse behavior of plates and stiffened plate under various loading conditions, the deflection modes that should be used for the analytical method of elastic buckling and postbuckling analyses are explained. Then, the fundamental theories for the elastic buckling analysis and elastic large deflection analysis are presented including how to consider the effect of initial imperfections such as initial deflection and welding residual stresses. For the buckling/plastic collapse analysis of plates and stiffened plates considering both geometrical and material nonlinearities, the numerical approach such as the finite element method needs to be used. The fundamental theory for the elastoplastic large deflection analysis is explained taking a four-node isoparametric shell element as an example. These theory and methods are used for the analytical and numerical calculations in the continued chapters in this book.
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