Open Access

ARTICLE

Quasi-steady Molecular Statics Model for Simulation of Nanoscale Cutting with Different Diamond Cutters

Zone-Ching Lin¹, Jia-Rong Ye²

1 NTUST, Taipei, Taiwan.
2 NTUST, Taipei, Taiwan.

Computer Modeling in Engineering & Sciences 2009, 50(3), 227-252. https://doi.org/10.3970/cmes.2009.050.227

Abstract

The paper develops a quasi-steady molecular statics model to analyze nanoscale cutting of copper materials by diamond cutters with different shapes. Cutting action, cutting force, equivalent strain and equivalent stress are discussed and compared. The quasi-steady molecular statics nanocutting model first assumes the trajectory of each atom of the copper workpiece being cut whenever the diamond cutter goes forward one step. It then uses the optimization search method to solve the force equilibrium equation of the Morse force in the X and Y directions when each atom moves a small distance, so as to find the new movement position of each atom. Since the force equilibrium equation of the model has two unknowns to be solved, i.e. the x and y coordinates for each position, a method in engineering optimization can be used to find the new movement position of each atom when the force equilibrium equation is satisfied. After that, the displacement of the acquired new position of each atom combined with the concept of shape function of finite element method are employed to calculate the equivalent strain of the copper workpiece during nano-cutting. By using the relationship equation of the flow stress-strain curve, the equivalent stress of the copper workpiece during nano-cutting can be obtained. The cutting forces of nanoscale cutting for a copper workpiece acquired in this paper are compared with previous results to verify that the model developed by this paper is reasonable.

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