Development of the new fast approach for calculation of texture evolution during hot deformation of aluminum alloys

In recent years a lot of models for calculation of texture evolution during hot deformation have been proposed. The main deficit of these models its speed which is not enough for using them directly in hot rolling mills control systems. That is why new more simple and faster algorithms of texture calculation are crucial. In this work a new method for predicting changes in orientation of FCC crystals during deformation was proposed, based on representing deformation as slide along slip systems of certain crystal selected by minimization of plastic power. The method was developed for flat (plane strain) deformation, i.e. for sheet rolling. Any deformation work with conservation of volume may be represented as five vector components which can be derived from any of the 12 slip systems of FCC crystal. This means that any arbitrary deformation of crystals can be presented as linear combination of five linearly independent vectors corresponding to the slip systems of a crystal. Here are altogether 384 linear independent combinations of vectors corresponding to 12 slip systems are possible and, straight forward calculation of plastic deformation power can be done fast enough by using modern computers. Therefore, in the proposed new method all possible combination of slip systems are realized and selected to find the optimum. The advantage of this approach as compared to linear programming method consist in that even complicated laws of deformation hardening can be included. Any non-linear dependence of the slip systems critical stress on deformation and deformation rate may be introduced as well as the influence of interacting slip systems. The Full constraint method was used here, but with minor modification any relaxed constraint model is also applicable.