Bifurcation and Localization Instabilities in Cylindrical Shells under Bending.Part 2. Predictions

摘要

This study is concerned with the prediction of the response and variousinstabilities found to govern the elastic-plastic flexure of circular cylindrical shells. Sanders' shell kinematics and the principle of virtual work were used to formulate the problem. A Rayleigh-Ritz procedure was used to discretize the problem. The resultant nonlinear equations were solved iteratively using Newton's method. The three types of behavior involving bifurcation into short wavelength ripples, localization following the attainment of a natural limit load and interaction of the two were studied. In each case the predicted response was found to be in very good agreement with the experimental result.