This paper deals with the elasto-plastic stability problems of shells of revolution subjected to complex loading process. The governing equations were derived and were solved by using the Bubnov-Galerkin method and the loading parameter method. Some examples were considered. | Vietnam Journal of Mechanics, NCST of Vietnam Vol. 25, 2003, No 1 (9 - 18) ON THE ELASTO-PLASTIC STABILITY PROBLEM OF SHELLS OF REVOLUTION DAO HUY BICH Hanoi National University Summary. This paper deals with the elasto-plastic stability problems of shells of revolution subjected to complex loading process. The governing equations were derived and were solved by using the Bubnov-Galerkin method and the loading parameter method. Some examples were considered. 1. Introduction Numerous solutions of the elasto-plastic stability problems of rectangular plates and circular cylindrical shells have been published in the literature by using different theories of plasticity. The critical loads acting on these structures were determined and the influence on which of the complex loading process was considered. Many structural shell configurations are shells of revolution, the elastic stability problems of which were investigated widely, but for elasto-plastic problems there was a few only results, especially when considering the complex loading process acting on these structures [5, 6, 8, 10]. In this paper by using the theory of elasto-plastic processes and the adjacentequilibrium criterion we derive the governing equations of the elasto-plastic stability problem of shells of revolution. Here we restrict ourselves, the applied load is axisymmetric and the linear bending equations are used for the prebuckling deformation. The Bubnov-Galerkin method and the loading parameter method are applied in solving problem. For illustration we consider the axisymmetric buckling of a circular plate subjected to uniform compressive loading and a shallow spherical cap subjected to uniform external pressure. From the obtained results we can get again the results of Timoshenko and Hutchinson for elastic shells, this fact provides the reliability of the obtained results. 2. Prebuckling state of a shell of revolution Let us consider a shell of revolution, the middle surface of which may be .
