Advanced model of the tool edge blunting under machining

In the paper, an advanced quantum nature of technology, exemplified by the edge blunting phenomenon in the wide range of variability of the workpiece velocity, has been presented. This phenomenon was considered concerning changes in the tool life under cut depending on the mentioned independent variable. A critical evaluation of the existent knowledge, referred to the description of the phenomenon in the process of material cutting, is provided. In spite of multiple trials to derive a mathematical form of the generalised dependence T = f(v), which would be fully adequate to the described reality, the goal has not been achieved. This work presents a general dependence of the tool life under cut T on the workpiece velocity v, which was derived from the source differential equation. Then, the course of formation of real components characteristics, corresponding with particular fragments of a general complex non-monotonic dependence of the tool life under cut on the velocity, has been presented. The characteristics of all three parts of the curve of edge blunting have been described. They are exponential in character and are: decreasing, increasing degressively and again decreasing, respectively. The model elaborated is adequate in its character, confirmed by the experimental results contained in the presented references. In the summary, multiple applications of this model, being in character both cognitive and utilitarian, have been given. The attention is turned on the fact that based on all those characteristics, further characteristics may be formed, being the intensity of changes of the tool life under cut. Also, the need to support the creation activity and its understanding is accented with the aim of formulating an adequate description of the discussed technology.