Goal of Research:
The main goal of this paper is a development of a theoretical base of solving nonlinear problems using semi analytical methods of mathematical simulation. Creation of fast algorithms predicting a material flow during forming.
Empirical Base of Research:
The empirical data obtained from the cylindrical specimen compression experiments were used for determining the mechanical behavior during hot deformation. The empirical data obtained from laboratory rolling were used for verification of obtained algorithms.
Results of Research:
The basic hypotheses and methods of constructing mathematical models that allows one to predict the behavior of metal during shape rolling and gas forming were formulated. It is shown that by adding a number of hypotheses one might reduce tree dimension forming problem to the sequence of generalized solutions of the plane problems. The superposition of solutions to these problems allows to construct the spatial pattern of material forming using significantly less computer resources than by solving a similar problem with a full three-dimensional formulation.
The software components that allow to automate the process of constructing the prediction of material forming for technological processes of metal forming were developed, based on the proposed simulation methodic.
An experimental approbation of the developed techniques and algorithms of mathematical modeling for metal forming processes, which confirmed the adequacy of the metal forming predictions, were carried out. The possibility of using these approaches at developing and optimizing processes of the bar rolling calibration was shown.
Level of implementation, recommendations on implementation or outcomes of the implementation of Results
The obtained results could be recommended for implementation at the metallurgical and machine-building manufactures.
Field of application: The obtained results could be used at the development and optimization of profiled rolling technologies, gas superplastic forming or during simulation of material deforming by pressure.