round and ring plates preparations, quasistatic and dynamic loading, thermal heating, ideal and plastic materials, plasticity condition, the associated law of plastic deformation, thermosensitivity of limits of fluidity, longitudinally cross bend.

The model of thermoplastic quasistatic and dynamic formation of round and ring plates from ideal and plastic material is investigated. The thermosensitivity of properties of material is considered and it is supposed that the field of temperatures depends only on time and radial coordinate. The average longitudinally cross bend of a plate at an ospolzovaniye of hypotheses is investigated Kirgofa-Lyava, conditions of plasticity of the Crash and the law of a plastic state associated with him. The general allowing systems of the equations at realization in a plate of various combinations of the plastic modes are received, partial integration for various ring zones of plasticity is carried out and interface conditions on borders of these zones are formulated. The full solution of a number of illustrative examples and the analysis of results of calculation is supposed to be carried out in the second part of article.

Nemirovsky Yuri Vladimirovich

e-mail: nemirov@itam.nsc.ru, Dr. Sci. Phys. & Math., Professor,Institute of Theoretical and Applied Mechanics S.A.Christianovich Siberian Branch of the Russian Academy of Sciences, Novosibirsk State Technical University, Novosibirsk, Russia.