Behaviour law for cutting process

To optimize the cutting conditions in machining, it is necessary to quantify energy parameters involved in the cutting process. These energy parameters are based on a hypothesis regarding the displacement of the material during the chip formation and the behaviour law of the material. However, a more refined model must be used to take into account complex phenomena in the cutting process. The strain gradient theory appears to be best in modelling rotation phenomena inside material. In order to solve this type of problem, the bases of the strain gradient theory are presented in this study.