The productivity of manufacturing activities is highly dependent on the quality of the processing machines and the readiness of their parts at all work times. The cutting tools are among these crucial parts for many manufacturing processes and hence their outer surfaces need continuous maintenance processes such as thermal hardening and coating. The physical and thermal properties of these outer surfaces are mathematically and numerically analyzed by the application of Ohm`s and Kirchhoff`s laws during the thermal hardening process to determine the best operation schemes and governing variables that may produce the highest performance and improve the quality of these machines` moving parts. The improvement of this maintenance process via the inclusion of the Nano-materials into the coating surfaces of the understudy parts is one of the tentative outcomes of these analyses. The results reflect the high role of the usage of inline cooling systems for the removal of heat, and that the maximum temperature in the contact area of the deformation region and corresponding processing speed, have a high share in the decision of the exterior layer`s material for the hardening work tool to develop into the critical state of shift instability.