There growing demand for a new FEM cutting simulation method capable of dealing with the peculiar friction phenomena that occur on the interface between work and tool materials. In this report, we first seek a theoretical formula for quasi-dislocation motions as a model to explain the phenomena that occur on the interface between the work and tool materials by applying the dislocation theory. Next, we present our method for deriving the frictional stress on a tool face from quantum mechanical calculations based on the above-mentioned model. It uses the molecular orbital method, which can only conduct static calculations, to obtain the shear stress under high strain velocities. As one of its features, it does not use complicated experiments and the first-principle molecular dynamic calculations that is high costs.

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