BIFURCATION AND LOCALIZATION INSTABILITIES IN CYLINDRICAL-SHELLS UNDER BENDING .2. PREDICTIONS

The second part of this study is concerned with the prediction of the response and various instabilities found in Part I 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 non-linear 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.