## 5 Discussion  
The developed model allows, based on the results obtained in the simulation, exploration of the behavior of the cutting speed \(V_{c}\) within the ranges recommended by tool manufacturers and its relationship with machining parameters in the study piece, such as the optimal cutting depth \(a_{cr}\) that will guarantee the reliability and structural integrity of the process. The variation of the cutting tool nose radius \(R_{c}\) and its variation with the cutting speed \(V_{c}\) can be observed. It is observed that at higher cutting speeds, the cutting tool nose radius is smaller, which meets the requested roughness requirements. Figure 14 illustrates this process. Among the important findings are values that, although permissible by the machining process, should not be selected since they generate the risk of compromising the structural integrity due to the stresses that will be obtained in the cutting process of the material \(S_{a_{c}}\). Figure 15 illustrates the behavior of these cutting parameters, crests and valleys, with respect to the stress \(S_{a_{c}}\) generated by the optimal cutting depth \(a_{cr}\) and the time t consumed in the machining process. From this data, the professional will have more information on which values to take according to their technical requirements. According to the allowable cutting speed \(V_{c}\), there will be optimal cutting depth values \(a_{cr}\) in intervals of values in cutting speed \(V_{c}\), which will generate the same effect in terms of number of machining cycles \(N_{p}\) and machining time \(t\). Figure 16 illustrates this process in such a way that in practice, if only these parameters are involved, it does not matter whether you work at one cutting speed or another that is in the same interval where the machining time \(t\) is due to the number of machining cycles \(N_{p}\) being equal. According to the restrictions imposed on the model, the algorithm will always seek to meet viable conditions within the range of allowable cutting speed \(V_{c}\) and adjusting cutting \begin{table}
\begin{tabular}{c c c} \hline \hline
**Parameter** & **Comparative Model [20]** & **Proposed Model** \\ \hline \(V_{c}\)\([\text{m/min}]\) & 156.5 & 156.5 \\ \(F_{v}\)\([\text{mm/min}]\) & 41.51 & 41.5 \\ \(R_{a}\)\([\text{mm}]\) & 0.00007 & 0.000068 \\ \(F_{c}\)\([\text{N}]\) & 161 & 69.8 \\ \(a_{c}\)\([\text{mm}]\) & 0.57 & 0.57 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Comparison between machining models. \begin{table}
\begin{tabular}{c c c} \hline \hline
**Parameter** & **Value** & **Description** \\ \hline \(k_{s}\)\([\text{MPa}]\) & 2100.0 & Specific cutting pressure for mild steel \\ \(P_{c}\)\([W]\) & 5300.0 & Electrical power supplied to the machine tool \\ \(\rho_{T}\)\([\text{Adm}]\) & 0.75 & Machining process efficiency factor \\ \(S_{y}\)\([\text{MPa}]\) & 310.0 & Yield strength of the test material \\ \(S_{u}\)\([\text{MPa}]\) & 565.0 & Ultimate strength of the test material \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Requested manufacturing properties: AISI 1045 steel [20]. depth \(a_{cc}\) for the machining process in such a way that the average energy consumed \(E_{prom}\) will try to balance between elapsed time t and consumed power \(P_{c}\), showing a quasi-constant behavior as observed in Figure 17.  
Table 7 summarizes the values obtained by varying the cutting speed within the permissible parameters for the process. Among the values presented in Table 7, it is important to highlight the column corresponding to the calculation of the maximum stress \(S_{a_{cc}}\), calculated by using the maximum possible cutting depth \(a_{cc}\) due to the cutting power provided by the machine tool motor \(P_{c}\).