In the framework of the model of large elastic-plastic deformations, the flow of the material in a spherical matrix at varying loads is examined. Simulation is carried out under the condition of steady elastic-plastic boundary. In order to find an exact solution the assumption of an ideal smoothness of the walls and incompressibility of the material is accepted.

Low-temperature technological process of residual stresses relief in metals is modeled. The paper presents the mode of a slow heating stage, holding stage at a constant temperature and slow cooling stage. The holding stage is simulated with creeping properties of materials. Boundary problems are examined and patterns that are responsible for the removal of residual stresses are described. In Norton creep conditions we obtained analytical solutions.

The object of research is the process of forming metal preform with predetermined configuration under creep at high temperatures. Two deformation modes have been considered – “cold” and “hot”. The results of numerical modeling of two deformation modes using the system MSC Marc are presented.

Within the linear theory of elastic-plastic body we carried out the modeling of technological process of annealing: slow heating stage, the holding stage under constant temperature and slow cooling step. Holding stage is simulated with consideration of creeping properties of materials. Boundary value problems are examined and patterns responsible for the removal of residual stresses at temperature influence are described. An analytical solution is found. It is proved that the holding stage is essential for describing the process of residual stress relief.