Mathematical Modeling of Fragmentation Under Plastic Deformation in Alloys with the L12 Structure

Within the framework of a mathematical model of dislocation kinetics, the processes of deformation-induced formation of a fragmented substructure in alloys with the L1(2)-superstructure with high and low energies of antiphase boundaries have been studied. The description of the equations of the mathematical model is given. The dependences of the average sizes of fragments (subgrains) on the degree of strain, the density of misorientation boundaries, stress-strain curves, and the dependences of the scalar density of dislocations on the degree of strain are calculated. A verification comparison of the obtained theoretical dependences with experimental data was carried out, which showed a good agreement. The model shows that the mechanisms of self-locking of superdislocations hinder the processes of deformation fragmentation in alloys with an L1(2)-superstructure at moderate deformation temperatures. The paper analyzes the influence of the energy value of antiphase boundaries on the processes of deformation fragmentation.