Kisil' R. Numerical solution of quasi-static problems of elastoplastic strain in complicated thin-walled constructions

Thin-walled constructions of the complicated form. The setting up of the new effective numerical algorithm for the solution of quasi-static problems of elastoplastic strain of the spacious thin-walled constructions of the complicated form, its testing and solving of applications. The research is done with using of the relation of Prandtl-Reuss theory with the condition of von Mises plasticity due to the generalized midpoint rule, Newton-Raphson method, finite element method. The methods of numerical reseach of the elastoplastic strain of the complicated thin-walled constructions with the act of the powerful pressure is setted up. Unconditional stability numerical scheme for the solution of such problems is done. The solution of the series of test and new practically-significant problems are solved. Plastic zones on the surface and in the thickness of the solids are defined. The complex of computer programmes are created. Areas of application - building, machine- building.