Taking into account grain growth during the finite-element modeling of the superplastic formation of promising construction materials

Abstract

A way to take into account the influence of grain growth in the statement of the edge problem for the mechanics of a deformed solid as applied to the superplastic formation of microcrystalline and ultra-fine-grain materials is suggested. The concrete example of a numerical solution for the edge problem of creep theory in a medium of the ANSYS software complex according to the published experimental data is suggested. A satisfactory agreement between the results of the solution to the edge problem and the experimental data is obtained. This solution is analyzed, and certain features of the character of the stress-strained state in the deformation site are revealed. In particular, it is established that complex disproportionate loading occurs in the vicinity of the fastening contour. Under this loading, the stress trajectories in the Il’yushin space have a larger curvature, despite the fact that the curvature of the corresponding deformation trajectories in the deformation space is relatively small.