Abstract
In order to enhance the nano-cutting surface quality of Ni3Al-based alloy to obtain better service state, the nano-molecule dynamics (MD) simulation and micro-cutting experiment were combined to investigate the effect of loading temperature (300–1050 K) on cutting force and surface morphology. MD simulation results show that the fluctuation of cutting force is the smallest when the loading temperature is 750 K during nano-cutting process of Ni3Al-based alloy, compared with that at other temperatures. When the loading temperature is 600–750 K, the number of convex atoms affecting the surface morphology is the least, which indicates that Ni3Al-based alloy can achieve higher surface quality at loading temperature of about 750 K. The micro-cutting experiments of Ni3Al-based alloy show that higher flatness of the processed surface can be obtained at the loading temperature of 600–750 K, which indirectly verifies the feasibility of MD simulation results of the nano-cutting process of Ni3Al-based alloy. Results suggest that selecting appropriate loading temperature is an effective method to improve the nano-cutting surface quality of Ni3Al-based alloy.
As the indispensable alloys in aerospace and high-end manufacture fields, Ni-based superalloys become more and more widely use
The essence of nano-cutting process is to destroy the binding energy between atoms for the workpiece atom removal, which enables the material to be processed at nanometer scale, effectively increasing the machining accuracy of the workpiece. Tian et a
Ni3Al-based alloy has the “R” phenomenon when the temperature is lower than 1173
The influence of cutting temperature on the machining quality of materials has also been widely studied. Jiang et a
Currently, MD simulation has become an important tool for micro-scale investigations. In MD simulation, it is assumed that the motion of particles follows the classical mechanics or quantum mechanics laws. By solving the motion equations of each interacting particle, the trajectory of all particles in the system of phase space can be obtained, and then the macroscopic physical characteristics of the overall system can be obtained according to statistical mechanic
This research investigated the effect of loading temperature on surface quality of Ni3Al-based alloy at the beginning of nano-cutting process by MD simulation. In order to verify the simulation results, the micro-cutting experiments of Ni3Al-based alloy were designed and conducted. This research provided theoretical basis to improve the machinability of Ni3Al-based alloys.
The Ni3Al-based alloy used in this research was L12-type face-centered cubic (fcc) alloy with lattice constant of a=0.3572 nm, and its schematic diagram is shown in

Fig.1 Schematic diagram of cell structure of Ni3Al-based alloy
The atomic potential function plays a key role in MD simulation. The correct selection of the potential function between atoms and the potential parameters in potential function is the basis to ensure the accuracy of MD simulation results. In this research, the empirical potential function was used to describe the interaction between Ni3Al workpiece (Ni-Al) and diamond tool (C-C) atoms. The selection results are shown in
Atom type | Potential function |
---|---|
Diamond tool (C-C) |
SiC_1994.tersof |
Workpiece and cutting tool |
Mishin-Ni-Al-2009.eam.allo |
Workpiece (Ni-Al) | Morse potential |
Tersoff potential was used to describe the C-C interactions between tool atoms. The embedded atom potential (EAM) was used to describe the Ni-Al interactions between atoms. The interaction between workpiece and tool atoms was described by Morse potential, and the parameters of Morse potential function are shown in
Interaction | D/eV | α/n | r/nm |
---|---|---|---|
Ni-C | 1.003 92 | 19.874 5 | 0.261 994 |
Al-C | 0.469 1 | 17.38 | 0.224 6 |
Diamond tools have extremely high hardness and wear resistance, which can improve the processing quality of workpiec
3D MD nano-cutting model consisted of Ni3Al workpiece and diamond tools, as shown in

Fig.2 Schematic diagram of MD simulation model
Parameter | Value |
---|---|
Workpiece size | 65a×30a×20a (a=0.3672 nm) |
Arc radius of tool tip/nm | 1.58 |
Rake and back angle/(°) | 15, 6 |
Boundary condition | ssp |
Time step/ps | 0.001 |
Cutting depth/nm | 1.5 |
Cutting length/nm | 20 |
Cutting speed/nm·p | 0.1 |
Loading temperature/K | 300, 450, 600, 750, 900, 1050 |
According to the parameters in
In MD simulation of nano-cutting process of Ni3Al-based alloy under high temperature loading, the heat mainly comes from two directions: (1) the heat caused by loading temperature, which is the heat of workpiece before the nano-cutting process; (2) the cutting heat, which is released by the change and destruction of the workpiece atom lattice under the action of tool. The combined effect of loading temperature and cutting heat leads to the change of cutting temperature of Ni3Al-based alloy workpiece. Through cutting simulation, the average atomic temperature distribution of the workpiece on the xy plane at cutting distance of 15 nm is obtained, as shown in

Fig.3 Temperature distributions of Ni3Al-based alloy workpiece at different loading temperatures and cutting distance of 15 nm: (a) 300 K, (b) 450 K, (c) 600 K, (d) 750 K, (e) 900 K, and (f) 1050 K
According to the temperature distribution of Ni3Al-based alloy workpiece at different loading temperatures in

Fig.4 Variation of cutting temperature with loading temperature
As shown in

Fig.5 Variation of cutting force (a) and tangential force (b) during nano-cutting process of Ni3Al-based alloy workpiece
As shown in
Therefore, ΔFx at different loading temperatures in the nano-cutting process of Ni3Al-based alloy can be obtained by ΔFx=|Fxmax-Fxmin|, where ΔFx presents the difference between two extreme values of the stable cutting force, indicating the fluctuation of cutting force.
As shown in

Fig.6 Variations of Fxmax, Fxmin, Fxave, and ΔFx with loading temperature
Combined with
The flatness of the machined surface depends on the concave and convex states of the surface atoms in the nano-scale. Due to the destruction of lattice arrangement in the cutting zone during the nano-cutting process, the structure of the rebound part of the lattice is restored during the cooling process of workpiece to room temperature after the cutting is completed. However, there are still a lot of atoms disorderly arranged on the machined surface, resulting in the appearance of different concave and convex defects. After the Ni3Al-based alloy workpiece is cooled to room temperature, the atoms in y-direction (cutting depth direction) of the machined surface are presented in

Fig.7 Atom distribution of machined surface in y-direction after cooling process
Because the concave and convex conditions of the machined surface cannot be clearly observed in

Fig.8 Schematic diagram of concave and convex of machined surface

Fig.9 Variations of the number of atoms in convex (a) and concave (b) areas on machined surface with loading temperatures
For the Ni3Al-based alloy, when the loading temperature is lower than 600 K and the cutting temperature is below 1250 K, the yield strength of the workpiece is increased with increasing the loading temperature. Thus, the required cutting force also increases, so does the number of A-type atoms. With increasing the loading temperature from 600 K to 750 K, the yield strength of Ni3Al-based alloy is decreased. Therefore, the required cutting force decreases, and the A-type atoms also decrease. However, when the loading temperature exceeds 900 K, the thermal flexibility of the workpiece increases greatly and the lattice stability decreases under the stress. Therefore, the fluctuation of cutting force increases significantly, and the number of A-type atoms also increases.
As shown in
Comparing the variation ranges of the number of A-type and V-type atoms, it can be found that the variation range of the number of V-type atoms is significantly higher than that of A-type atoms, indicating that the concave defects are more than the convex defects on the machined surface. This is mainly because the force of the tool atoms on the workpiece atoms during machining causes damage to the atomic structure of the machined surface, and some atoms with severe structural damage are attached to the tool by the gravitational force of the tool atoms. In this case, the depression of this part is aggravated, and the cutting depth is also increased when the workpiece atoms are attached to the tool bottom, which further aggravates the depression defect.
Combined with
The size of the Ni3Al-based alloy specimen was (5.0±0.1) mm×(5.0±0.1) mm, and the thickness was (1.0±0.05) mm. Be-cause the scratches generated by the cutting experiments were tiny and the requirement of workpiece surface accuracy was high, the machining surface was polished to obtain the workpiece with surface roughness Ra<0.01 μm, as shown in

Fig.10 Appearances of experiment specimens
The Ni3Al-based alloy workpiece used in the experiment was processed by MFT-5000 Multi-Function Tribometer (Rtec-instruments) with natural diamond Rockwell indenter. The temperature environment chamber maintained the internal temperature as 273–973 K, and the inert gas was used to improve the thermal stability of too
Nano-scale machining is difficult to achieve in experiments, and the current nano-processing experiments mainly focus on the nano-imprint technique. Due to the restrictions of workpiece surface roughness and machining instruments, the cutting experiments in this research could only be conducted at the micron level, and the nano-cutting process was simulated by the scratch motion of the indenter. Therefore, quantitative analysis of the simulation could not be achieved. Only the qualitative analysis could be achieved.
In the experiments, the cutting depth could not be controlled directly, and it was controlled by the load. The load applying methods have two types. One is the constant force loading: the indenter is applied with a fixed normal load, and the workbench completes the cutting experiment with the specimens moving continuously along a certain direction. The other is variable force loading, which applies a variable normal load to the indenter with the workbench moving. In this experiment, the normal load was determined by variable force loading method.

Fig.11 Relationship between cutting depth and normal load at different cutting distances
No. | Loading temperature/K | Normal load/N | Cutting speed/ mm· |
---|---|---|---|
1 | 300 | 25 | 0.1 |
2 | 750 | 25 | 0.1 |
3 | 900 | 25 | 0.1 |
Through the analysis of experimental results, the influence of loading temperature on workpiece machining surface and cutting force during the nano-cutting process was investigated. The morphology of cutting surface was obtained by ZYGO MetroPro® software, as shown in

Fig.12 Contour maps of cutting surface at initial stage (a) and stable stage (b)

Fig.13 Cutting surface profiles at loading temperatures of 300 K (a), 750 K (b), and 900 K (c)
It can be seen from

Fig.14 Variation of surface profile height with loading temperatures
When the loading temperature is 300 K, the variation of tangential force in the nano-cutting process is shown in

Fig.15 Variation of cutting force in nano-cutting process at loading temperature of 300 K

Fig.16 Variation of cutting force with loading temperatures
certain loading temperature range. When the loading temperature is 750 K, the cutting temperature exceeds the peak temperature of “R” phenomenon. At this time, the hardness is slightly smaller than that at the loading temperature of 300 K. Still, the cutting forces with loading temperature of 300 and 750 K are similar. When the loading temperature is 900 K, the hardness of workpiece decreases obviously due to the temperature, and the internal structure is unstable, which leads to the decrease in cutting force and the increase in cutting force fluctuation. The variation of cutting force fluctuation also explains the change in the difference of surface profile height with loading temperature in
Restricted by the surface roughness of workpiece and processing instrument, the order of magnitude of the cutting experiment was only at micron level, whereas the MD simulation was at the nanometer level.
Comparing
Comparing the variations of cutting force with loading temperature in
Through the comparative analysis of MD simulation and experiment results, it can be seen that the two results have high similarity, suggesting the feasibility of MD simulation in the study of Ni3Al-based alloy during nano-cutting process.
1) MD simulation shows that the loading temperature and cutting force are the main influence factors of surface morphology. The cutting temperature rises gently when the loading temperature is 600–900 K, and the cutting force reaches the maximum with the loading temperature of 600 K, but the cutting force fluctuation reaches the minimum with the loading temperature of about 750 K. The number of convex atoms is the least when the loading temperature is about 750 K, and the processed surface has better surface flatness.
2) Compared with cutting experiments at room temperature, the surface flatness of the workpiece is improved, the cutting force fluctuation is smaller, and the processed surface quality is better when the loading temperature is 750 K, which indirectly verifies the MD simulation results and proves the enhancement feasibility of surface quality of Ni3Al-based alloy after nano-cutting process by high loading temperature. In order to obtain better surface quality, the loading temperature should be controlled at about 750 K.
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