Morachkovska, IrinaTimchenko, GalinaLyubitska, Kateryna2016-11-212016-11-212016Morachkovska I. Application of the Variational-Structural Method to Investigate the Elasto-Plastic Bending of Thin Shells and Plates / I. Morachkovska, G. Timchenko, K. Lyubitska // Nonlinear Dynamics–2016 (ND-KhPI2016) : proceedings of 5th International Conference, dedicated to the 90th anniversary of Academician V. L. Rvachev, September 27-30, 2016 = Нелінійна динаміка–2016 : тези доп. 5-ї Міжнар. конф., 27-30 вересня 2016 р. – Kharkov : NTU "KhPI", 2016. – P. 465-470.https://repository.kpi.kharkov.ua/handle/KhPI-Press/24779The effective method basing on theory of R-functions and variational structural method is developedfor solving non-linear boundary problems. Elastic-plastic bending of thin shallow shells is considered. The problems are reduced to finding stationary points of suggested mixed variational functionals according to the initial linearization due to usage of subsequent loading and Newton-Kantorovich jointly with method of varying elastic parameters. The method is used for automatic calculations in «POLE» programming system for investigations of shell structural elements. The numerical justification of the method is given. New laws of nonlinear deformation of shallow shells and plates with complex shapes in plane are established.enshallow shellselasto-plastic deformationsR-functions theoryArticle