The purpose of this work was to investigate the qualitative implementation and the possibility of use in the educational context of Ukraine. For this work, the author invited five groups (a total of 169 students of different genders). The second was a conversation with the teachers about the atmosphere in the classroom, the difficulty of the learning process, and the results. The study showed the weakness and small effectiveness of the old teaching methods (control group) and elementary explanatory online meetings.

For more then half a centre just the same approach to the simulation of the ductile crack formation was developed independently by the scientific communities of foreign and native researchers. The importance at these studies drastically increased. A set of the characteristics, according to which it is recommendly to perform the detail comparison of the existing fracture models is developed. The examples of the analysis of a number of the most popular models by means of obtaining and study their analytical expressions regarding the conditions of the plane state are given. The generalized relations of the know models and a number of separate relations are obtained.