Investigation of Cutting Temperature during Turning Inconel 718 with (Ti,Al)N PVD Coated Cemented Carbide Tools

Physical Vapor Deposition (PVD) Ti1−xAlxN coated cemented carbide tools are commonly used to cut difficult-to-machine super alloy of Inconel 718. The Al concentration x of Ti1−xAlxN coating can affect the coating microstructure, mechanical and thermo-physical properties of Ti1−xAlxN coating, which affects the cutting temperature in the machining process. Cutting temperature has great influence on the tool life and the machined surface quality. In this study, the influences of PVD (Ti,Al)N coated cemented carbide tools on the cutting temperature were analyzed. Firstly, the microstructures of PVD Ti0.41Al0.59N and Ti0.55Al0.45N coatings were inspected. The increase of Al concentration x enhanced the crystallinity of PVD Ti1−xAlxN coatings without epitaxy growth of TiAlN crystals. Secondly, the mechanical and thermo-physical properties of PVD Ti0.41Al0.59N and Ti0.55Al0.45N coated tools were analyzed. The pinning effects of coating increased with the increasing of Al concentration x, which can decrease the friction coefficient between the PVD Ti1−xAlxN coated cemented carbide tools and the Inconel 718 material. The coating hardness and thermal conductivity of Ti1−xAlxN coatings increased with the increase of Al concentration x. Thirdly, the influences of PVD Ti1−xAlxN coated tools on the cutting temperature in turning Inconel 718 were analyzed by mathematical analysis modelling and Lagrange simulation methods. Compared with the uncoated tools, PVD Ti0.41Al0.59N coated tools decreased the heat generation as well as the tool temperature to reduce the thermal stress generated within the tools. Lastly, the influences of Ti1−xAlxN coatings on surface morphologies of the tool rake faces were analyzed. The conclusions can reveal the influences of PVD Ti1−xAlxN coatings on cutting temperature, which can provide guidance in the proper choice of Al concentration x for PVD Ti1−xAlxN coated tools in turning Inconel 718.


Introduction
Inconel 718 has been widely used in aeronautical applications due to its high temperature strength and high corrosion resistance. However, great heat is generated in the cutting process of Inconel 718 by cutting tools due to its low thermal conductivity and high hardness. The heat can decrease the tool life and impair the machined surface quality of a workpiece [1][2][3][4][5]. Coating technology was commonly used to protect the tool substrate, which was an effective way to increase the tool life [6,7]. At present, coated cemented carbide tools account for 80% of total tool production [8]. Physical Vapor Deposition (PVD) Ti 1−x Al x N coatings were widely used in machining Inconel 718 alloys due to the high hardness [9], excellent wear resistance [10,11] and super heat stability [12] two-color pyrometer to measure the cutting temperature in machining 42CrMo4V by uncoated tools, TiN and TiAlN coated tools. For the cutting speed 150 m/min, feed 0.12 mm/rev and cutting depth 2.5 mm, the maximum temperature of chip formed by uncoated tool was about 480 • C. The maximum temperatures in chips formed by TiN and TiAlN coated tools were about 520 • C and 500 • C, respectively. Davoudinejad et al. [22] proposed 3D finite element modeling of micro end-milling Al6082-T6 to analyze the temperature distribution under different cutting conditions. The simulation results were verified by infrared thermal camera. Grzesik [23] found that the microstructure of coating can be optimized to reduce the friction coefficient between the coated tools and workpiece materials. The microstructure of coatings can be optimized to decrease the heat generated in the cutting zone. For cutting easy-to-machine materials with coated tools, the generated heat can be easily dissipated into the chip by the coatings with lower thermal conductivity. For cutting the difficult-to-machine materials with coated tools, the generated heat can be quickly dissipated into the tool substrate by the coatings with higher thermal conductivity.
However, the influences of PVD Ti 1−x Al x N coated tools with different Al concentration x on the cutting temperature in machining Inconel 718 were not clear. In this study, Ti 0.55 Al 0.45 N and Ti 0.41 Al 0.59 N coatings with the coating thickness 2 µm were deposited on WC-Co cemented carbide substrate. The deposition technique was arc ion plating deposition technology. The microstructure and grain orientation of the two coatings were observed by high resolution transmission electron microscopy/focused ion beam (HRTEM/FIB) techniques. The mechanical properties of the two coatings were researched by measuring the coating hardness, critical loads between the coating and substrate, and the friction coefficient between the coating and Inconel 718. The influences of Al concentration x on the thermal conductivity of PVD Ti 1−x Al x N coatings were analyzed with the finite element method. The cutting temperatures of PVD Ti 1−x Al x N coated tools were measured with the buried thermocouples. The influences of PVD Ti 1−x Al x N coating on heat generation in the cutting zone were analyzed with mathematical analysis models.

Mathematical Analysis Model of Cutting Temperature in Turning Inconel 718 by PVD Ti 1−x Al x N Coated Tools
The orthogonal mathematical analysis models proposed by Komanduri-Hou [24,25] were used to investigate the cutting temperature of the primary cutting zone in turning Inconel 718 with PVD Ti 1−x Al x N coated cemented carbide tools. Figure 1 shows the mathematical analysis model of the primary and imaginary shear heat sources in orthogonal cutting of Inconel 718 by PVD Ti 1−x Al x N coated tools.
The separating point of the tool tip and workpiece is assumed as the coordinate origin O as shown in Figure 1. The direction parallel to the cutting speed is assumed as the direction of the x axis, and the direction perpendicular to the cutting speed is assumed as the direction of the z axis. The two-dimensional planar coordinate xOz is established. ϕ is the shear angle. V is the cutting speed. L is the length of shear heat source. R 1 and R 2 are the polar coordinates of point M(x, z). The imaginary heat source was introduced into the model to compensate for the heat loss due to the assumption of the semi-infinite medium for the workpiece [24,25]. The temperature rise at any point M(x, z) was due to the combined effects of the primary and imaginary shear heat sources. Each of these heat sources can be considered as a combination of numerous infinitesimal segments dl i , with each again as an infinitely long moving line heat source. l i is the location of the differential small segment of the shear band heat source dl i relative to the upper end of it and along its width. K 0 is the modified Bessel function of second kind of order zero. The temperature of point M(x, z) within the workpiece induced by the primary and imaginary shear heat sources can be calculated by Equation (1): where T primary and T imaginary are temperatures generated by the primary and imaginary shear heat sources, respectively. The temperatures can be calculated with Equations (2) and (3). B is the coefficient under specific cutting parameters in machining Inconel 718, which can be calculated with Equation (4). q shear is the heat liberation intensity of a moving shear plane heat source, which can be calculated with Equation (5). λ is the thermal conductivity of Inconel 718. α is the thermal diffusivity of Inconel 718. K 0 can be calculated with Equation (6).
where F c is the tangential force, F t is the radial force, γ 0 is the rake angle, t c is the undeformed chip thickness, and w is the width of shear plane heat source.
where ω is the variable of cutting time, which can be calculated by Equation (7), and u is the integral variable of shear band length, which can be calculated by Equation (8).

Characterization of Surface and Microstructure for PVD Ti 1−x Al x N Coatings
The surface roughness of PVD Ti 1−x Al x N coating was obtained with a laser confocal microscope VK-H1XMC (Keyence, Osaka, Japan). The tool rake face was set perpendicular to the measuring lens. The amplification of the lens used was 10×, which could cover the valid area of the tool rake face.
PVD Ti 1−x Al x N coatings were characterized structurally by X-ray diffraction (XRD, Shimadzu, Kanagawa, Japan) and HRTEM/FIB techniques. For the XRD analyses, a wide-range goniometer with a proportional-counter detector was used, with a 2θ accuracy of 0.0001 • . Non-monochromatic Cu radiation was used and K α peaks were numerically stripped from the spectra using an EVA and TOPAS 4.2 software package. The pole figures were obtained using a X ray diffractometer with the type of D8 advance. The FIB preparation was performed with a FEI Helios 600 Dual Beam, consisting of a liquid gallium ion source operating at 30 kV for sample milling and a field emission electron source operating at 5 kV for secondary electron imaging. The thin lamellae were imaged with a FEI S-TWIN TECNAI G 2 F20-TEM (FEI, Hillsboro, OR, America) operating at 200 kV, to carry out experiments with HRTEM, selected area electron diffraction (SAED), and dark-field imaging.
The cross sections of PVD Ti 1−x Al x N coatings were observed with the field emission scanning electron microscope JSM-7610F (JEOL, Tokyo, Japan). The accelerating voltage was 10 kV. The detailed cross sections of PVD Ti 1−x Al x N coatings were observed at the magnification 20,000×.

Characterization of Mechanical Properties for PVD Ti 1−x Al x N Coated Tools
As referred to in [14,15], the hardness of PVD Ti 1−x Al x N coating was measured with the Vickers hardness tester FM-800. The applied method was the indentation method. It was noted that the indentation depth of the indenter cannot exceed 10-15% of the coating thickness to assure the validity of the measured results. The applied load of the indenter was 50 g.
The Anton Par Revetest was used to apply the scratching tests to obtain the critical loads between the PVD Ti 1−x Al x N coating and carbide substrate. The tool rake faces were set perpendicular to the Rockwell diamond indenter C, then the tools were fixed. The cone angle of the Rockwell diamond indenter C was 120 • , the curvature radius of which was 200 µm. The applied load was in the range of 0-60 N for the Rockwell diamond indenter C. The scratching tests met the requirements of ASTMC1624-05 standard [26]. The scratching speed was 10 mm/min, and the loading rate was 100 N/min. The rupturing sound of the coating and the three-dimensional topography of the scratch were used to find the critical loads between the PVD Ti 1−x Al x N coating and carbide substrate. The detailed measuring process can be referred to the research [27].
The friction coefficient between the PVD Ti 1−x Al x N coated tool and workpiece material Inconel 718 was measured with pin-on-disc testing experiments. The experimental setup was with a type of UMT-TriboLab (Bruker, Billerica, MA, USA). The Inconel 718 was made as the disc with the diameter of 80 mm. The loads applied on the tool were a constant of 5 N at the room temperature.

Cutting Experiment Procedure
The experimental setup of orthogonal cutting Inconel 718 by PVD Ti 1−x Al x N coated tools without cutting lubricant is shown in Figure 2. The used machine tool was CNC PUMA 200 M. The PVD Ti 1−x Al x N coated cemented carbide tools with the type NG3125R KC5025 (PVD Ti 0.55 Al 0.45 N coated tool) and KC5010 (PVD Ti 0.41 Al 0.59 N coated tool) were obtained from the KENNAMETAL company. As referred to the methodologies of research [15,17], the thickness of the PVD Ti 1−x Al x N coatings were measured as 2 µm from the cross-sectional views of the coated tools using scanning electron microscopy (SEM) techniques. PVD Ti 1−x Al x N coated tools were compared with the uncoated cemented carbide tools with the NG3125R K313. The three type cutting tools had the same rake angle γ 0 0 • , relief angle β 11 • and geometric dimensions. PVD Ti 0.55 Al 0.45 N and Ti 0.41 Al 0.59 N coated tools had the same substrate material as the uncoated tool. The cutting tool arbor with the type of NSR 3232P3 was shown in the illustration in the Figure 2. The workpiece of Inconel 718 was a cylindrical bar with the diameter of ϕ24 mm. The ring grooves had been machined on the cylindrical bar. The depth of the ring grooves was 4 mm. The distance was 2 mm between two approached ring grooves. The applied cutting parameters of PVD Ti 1−x Al x N coated tool and uncoated tool were the same. The cutting speed used was 20 m/min. The feed used was 0.025, 0.05 and 0.075 mm/rev, respectively. As shown in Figure 2, the cutting forces were measured with the Type 9129A of 3-Component Measuring System. The cutting temperature of tools was measured with the buried K type thermocouple, which was combined with a multiple channel USB data acquisition module OM-DAQ-2401. The schematic of temperature measurement was plotted in Figure 3. As shown in Figure 3, the diameter of the K-type thermocouple was ϕ0.5 mm. The diameter of the un-displayed drilled hole was ϕ0.75 mm, which was made by electric discharge machining. The response time of the multiple channel USB data acquisition module OM-DAQ-2401 was 2 ms. The collected electric signals were transferred into the personal computer. Thus, the temperature profiles of tools were obtained accurately during the Inconel 718 turning process.

Finite Element Simulation of Cutting Temperature in Turning Inconel 718 with PVD Ti 1−x Al x N Coated Tools
The schematic diagram of the experimental setup of the orthogonal cutting of Inconel 718 by PVD Ti 1−x Al x N coated tools is plotted in Figure 4a and the schematic diagram of the related simulation model is plotted in Figure 4b. As in [28][29][30][31], the finite element simulation models were established by AdvantEdge software V5.0 without lubricants. As shown in Figure 4b, the cutting tool tip was set at a distance away from the top surface of workpiece. The distance was equal to the feed value. The workpiece was fixed and the tool moved in the cutting direction. The moving speed was equal to the cutting speed value. The feed and cutting speed values were set as shown in Table 1. The influences of PVD Ti 0.41 Al 0.59 N and Ti 0.55 Al 0.45 N coated tools on the cutting temperature in turning Inconel 718 were analyzed by applying the coatings on the cutting tool. The specific thermo-physical properties of PVD Ti 0.41 Al 0.59 N and Ti 0.55 Al 0.45 N coatings and the carbide substrate materials were assumed to be the values shown in Table 2. The initial temperature was set to be 20 • C, the same as room temperature. The friction coefficient between PVD Ti 1−x Al x N coated tools and Inconel 718 was assumed to be the values shown in Table 1.  As shown in Figure 5, the two-dimensional finite element simulation model of cutting temperature field in turning Inconel 718 by a PVD Ti 0.41 Al 0.59 N coated tool at feed 0.05 mm/rev and cutting speed 20 m/min were given. T max-workpiece is the maximum temperature of workpiece. T max-tool is the maximum temperature of tool. T max-substrate is the maximum temperature of tool substrate. T tool-corresponding measured point is the temperature at the measured point of the buried K type thermocouple.   (1−x) Al x N with cubic lattice. The space groups of two type PVD Ti 1−x Al x N coatings were the same as Pm-3m (211). For the thin coating thickness and high penetrating capacity of Cu-Ka radiation used in the XRD experiment, the diffraction peaks for the WC-Co carbide substrate were identified clearly. In this research, the crystals of PVD Ti 1−x Al x N coatings grew in preferred orientations (111) and (200). The grain preferred orientations (111) and (200) for the PVD Ti 1−x Al x N coating became more evident with the increase of Al concentration.

Microstructure of PVD Ti 1−x Al x N Coatings
As shown in Figure 7, the interface areas between the PVD Ti 1−x Al x N coating and carbide substrate were observed with SEM and HRTEM. Differences between cross-sectional SEM topographies were not evident for the Ti 0.41 Al 0.59 N (KC5010) coated tool and Ti 0.55 Al 0.45 N (KC5025) coated tool. Plan-view HRTEM images showed that the disordering areas and lattice distortions existed around the interface areas between the PVD Ti 1−x Al x N coating and carbide substrate. The lattice fringe orientations of two PVD Ti 1−x Al x N coatings were not consistent with the lattice fringe orientations of the WC phase and Co phase in the WC-Co carbide substrate. It was illustrated that the epitaxy growth of TiAlN crystal did not exist at the interface between the PVD Ti 1−x Al x N coating and carbide substrate. The epitaxy growth of TiAlN crystal did not exist in the physical vapor deposition process. The deposition temperature of physical vapor deposition process was lower than that of the chemical vapor deposition process. Thus, the re-nucleation and growth of TiAlN crystals occurred independently in the physical vapor deposition process of PVD Ti 1−x Al x N coatings without the influences of the WC phase and Co phase.
Attention was paid to the internal microstructures of PVD Ti 1−x Al x N coatings. As shown in Figure 8

Mechanical and Thermo-Physical Properties of PVD Ti 1−x Al x N Coatings
The mechanical properties of PVD Ti 1−x Al x N coatings were listed in Table 1. Each experiment was conducted more than three times to obtain average values. As referred to in [32,33], the replacement of Ti atoms by Al atoms induced the lattice distortion of Ti 1−x Al x N coating. The lattice distortion induced internal stress within the Ti 1−x Al x N coatings. The increase of Al concentration increased the pinning effect in the PVD Ti 1−x Al x N coating. The pinning effects prevented the dislocation movement of Ti 1−x Al x N crystals. The friction coefficients between the Ti 1−x Al x N coating and Inconel 718 decreased slightly [34]. Thus, the friction forces between the PVD Ti 0.41 Al 0.59 N (KC5010) coated tools and Inconel 718 decreased slightly.
The temperature-dependent mechanical and thermo-physical properties of tungsten-based cemented carbide are referenced to Akbar et al. [29]. Barsoum et al. [18] and Finkel et al. [34] found that the thermal conductivity of Ti 4 AlN 3 increased linearly with temperature. Ti 4 AlN 3 is another expression of (Ti,Al)N material, defined by the Ti/Al atomic ratio. Akbar et al. [29] summarized the research results of Barsoum et al. [18] and Finkel et al. [34] and obtained the temperature-dependent mechanical and thermo-physical properties of Ti 1−x Al x N coating. To investigate the influences of Ti 1−x Al x N coating on the cutting temperature in turning Inconel 718, the temperature-dependent mechanical and thermo-physical properties of Ti 0.41 Al 0.59 N coating were assumed to be the same as the research results of Akbar et al. [29]. According to the research of Ding et al. [14], the thermal conductivity of PVD Ti 0.55 Al 0.45 N coating is referred to as 4.6 W/(m·K) at room temperature. The thermal conductivity of PVD Ti 0.41 Al 0.59 N coating was inferred as 6.6 W/(m·K) at room temperature. Thus, the thermal conductivity of PVD Ti 0.55 Al 0.45 N coating was assumed to be less than that of PVD Ti 0.41 Al 0.59 N coating about 2 W/(m·K) with the variation of temperature. The temperature-dependent mechanical and thermo-physical properties of Ti 0.41 Al 0.59 N coating, Ti 0.55 Al 0.45 N coating and tungsten-based cemented carbide are given as Table 2.

Influences of PVD Ti 1−x Al x N Coated Tools on Cutting Temperature
As shown in Figure 9, the cutting temperature profiles with variations of cutting time of Ti 0.41 Al 0.59 N coated tool (KC5010), Ti 0.55 Al 0.45 N coated tool (KC5025), uncoated tool (K313) were measured by the buried K-type thermocouple at feed 0.05 mm/rev and cutting speed 20 m/min. Compared with the uncoated tools, the existence of PVD Ti 1−x Al x N coating increased the measured cutting temperature. As referred to in the research of Grezsik [23], the heat generated in the cutting zone can be prevented from dissipating from the tool body into the environment quickly by PVD Ti 1−x Al x N coated tools. Thus, the heat that accumulated within the tool body increased the measured temperature. The measured temperatures of PVD Ti 0.55 Al 0.45 N coated tool were higher than those of the PVD Ti 0.41 Al 0.59 N coated tool. This was associated with the thermal conductivity of Ti (1−x) Al x N coating being increased with the increase of Al concentration [18,19]. The Al concentration of Ti 0.41 Al 0.59 N coating was higher than that of the Ti 0.55 Al 0.45 N coating. Thus, the thermal conductivity of Ti 0.41 Al 0.59 N coating was higher than Ti 0.55 Al 0.45 N coating as referred to in [14,18,19]. Compared with the PVD Ti 0.55 Al 0.45 N coated tools, the heat generated can be dissipated quickly from the tool body into the environment and thus decrease the measured temperature for PVD Ti 0.41 Al 0.59 N coated tools. Comparisons between the actual temperature measured by the buried K-type thermocouple and the corresponding finite element simulation temperature at the same point within the substrate of tools with variations of feed are illustrated in Figure 10. The variations of finite element simulation temperature were consistent with the measured temperatures at the same point within the tool substrates. The finite element analysis model can show the temperature field in the cutting zone directly. Compared with the uncoated tools, the existence of PVD Ti (1−x) Al x N coating increased the steady temperature in turning Inconel 718. The measured temperature of PVD Ti 0.41 Al 0.59 N coated tools was lower than that of PVD Ti 0.55 Al 0.45 N coated tools. The Ti 0.41 Al 0.59 N coating with higher thermal conductivity accelerated the heat generated in the cutting zone dissipating from the tool body into the environment. To analyze the phenomenon, the tangential forces (Ft) and radial forces (Fc) of PVD Ti 0.41 Al 0.59 N coated tool (KC5010), PVD Ti 0.55 Al 0.45 N coated tool (KC5025), uncoated tool (K313) with variations of feed at a cutting speed 20 mm/min were obtained, as shown in Figure 11. The tangential forces (Ft) and radial forces (Fc) increased with the increase of feed. The incremental rate of radial force (Fc) was bigger than that of the tangential force (Ft). The radial forces decreased with the increase of Al concentration in PVD Ti (1−x) Al x N coating in turning Inconel 718. The tangential forces of PVD Ti 0.41 Al 0.59 N coated tools were lower than that of the PVD Ti 0.55 Al 0.45 N coated tools at low feed 0.025 mm/rev. The difference between the tangential forces of the PVD Ti 0.41 Al 0.59 N coated tool and the tangential forces of the PVD Ti 0.55 Al 0.45 N coated tool were not evident at higher feeds. To analyze the influence of PVD Ti (1−x) Al x N coated tools on the heat generation in turning Inconel 718, the special parameters of adiabatic shear fracture in the cutting zone were calculated with the measured cutting forces, according to Equations (4)- (8). The special parameters of adiabatic shear fracture in the cutting zone for PVD Ti 0.41 Al 0.59 N coated tool (KC5010), Ti 0.55 Al 0.45 N coated tool (KC5025) and uncoated tool (K313) tools are shown in Table 3. The confidence intervals of the obtained values were 95%. According to the variation of heat liberation intensity q shear of a moving shear plane heat source with feeds, the existence of PVD Ti (1−x) Al x N coating increased the heat generation in the cutting zone to dissipate more heat into the tool body. This was consistent with the phenomenon that the actual measured temperatures of PVD Ti (1−x) Al x N coated tool were higher than the uncoated tools. Compared with the PVD Ti 0.55 Al 0.45 N coated tools, PVD Ti 0.41 Al 0.59 N coated tools decreased the heat liberation intensity q shear of a moving shear plane heat source and decreased the heat dissipating into the tool under the same cutting parameters. This was consistent with the phenomenon of the actual measured temperatures of the PVD Ti 0.41 Al 0.59 N coated tool being lower than that of PVD Ti 0.55 Al 0.45 N coated tools. The thermal conductivity of PVD Ti 0.41 Al 0.59 N coating was higher than that of the PVD Ti 0.55 Al 0.45 N coating [35]. PVD Ti 0.55 Al 0.45 N coated tools generated more heat in the cutting zone and dissipated more heat from the tool body into the environment. Thus, the cutting temperatures of the PVD Ti 0.41 Al 0.59 N coated tool measured by the buried K type thermocouple were lower than that of the PVD Ti 0.55 Al 0.45 N coated tool.
As shown in Figure 12, the influences of PVD Ti (1−x) Al x N coatings on the maximum temperature of the workpiece (T max-workpiece ), the maximum temperature of the tool (T max-tool ) and the maximum temperature of the tool substrate (T max-substrate ) in the finite element simulation models were plotted with variations of feed at a cutting speed of 20 m/min. Compared with the uncoated tool, the existence of PVD Ti (1−x) Al x N coatings increased the maximum temperature of the workpiece and increased the maximum temperature of the tool. This phenomenon was different from the former research results of Grezsik et al. [36]. Grezsik et al. [36] found that coated tools can decrease the cutting temperature during cutting 45 steel with calculation and simulation methods. Compared with 45 steel, Inconel 718 was used as the hard-to-machine material for its low thermal conductivity and the difficult deformation characteristics. The deformation of Inconel 718 can generate massive heat in the cutting zone. The generated heat cannot be quickly dissipated by chips like the 45 steels. The generated heat in the cutting zone accumulated to increase the maximum temperature of the workpiece in machining Inconel 718 by PVD Ti (1−x) Al x N coated tools.  Compared with the uncoated tools, the existence of PVD Ti (1−x) Al x N coating also increased the maximum temperature of the coated tool. Compared with the uncoated tools, PVD Ti (1−x) Al x N coated tools decreased the maximum temperature of the tool substrate to reduce the thermal stresses within the tools. This was due to the thermal barrier effects of PVD Ti (1−x) Al x N coating [23]. Compared with PVD Ti 0.55 Al 0.45 N coated tools, PVD Ti 0.41 Al 0.59 N coated tools decreased the maximum temperature of the workpiece, the maximum temperature of the tool, and the maximum temperature of the tool substrate to reduce the heat generated in the cutting zone. The heat dissipated from the cutting zone into the tool body also decreased in turning Inconel 718 by the PVD Ti 0.41 Al 0.59 N coated tool. The decreased maximum temperature of tool substrate for machining Inconel 718 by the PVD Ti 0.41 Al 0.59 N coated tool also decreased the generated thermal stresses in the tools under the same cutting parameters.

Influences of PVD Ti 1−x Al x N Coating on the Surface Topographies of the Tool Rake Faces
The surface topographies of the tool rake face for the Ti 0.41 Al 0.59 N coated tool (KC5010), Ti 0.45 Al 0.55 N coated tool (KC5025) and uncoated tool (K313) were characterized with a laser confocal microscope of the type VK-H1XMC. Surface topographies of the tool rake faces for Ti 0.41 Al 0.59 N coated tool (KC5010), Ti 0.45 Al 0.55 N coated tool (KC5025) and uncoated tool (K313) with variations of feed at a cutting speed of 20 m/min were obtained as shown in Figure 13a-i. It was seen that the shiny components were the Inconel 718 workpiece material adhered on the tool rake face.
The adhesion of workpiece material on the tool rake face increased with the increase of feed. The existence of PVD Ti (1−x) Al x N coating can increase the wear resistance of tools. The wear of uncoated tools (K313) were evident at the feed 0.075 mm/rev and a cutting speed of 20 m/min. The wear of uncoated tools increased the cutting forces and increased the heat liberation intensity q shear of a moving shear plane heat source. As shown in Table 2, the heat liberation intensity q shear of a moving shear plane heat source of an uncoated tool was higher than that of the coated tools at a feed 0.075 mm/rev and cutting speed 20 m/min. As shown in Figure 11, the tangential forces and radial forces of uncoated tool (K313) increased severely from the feed 0.05 mm/rev to 0.075 mm/rev compared with that of the coated tools. But the cutting temperature of the uncoated tool (K313) did not increase severely from the feed 0.05 mm/rev to 0.075 mm/rev compared with the coated tools in the simulation models. This phenomenon can be explained by that the critical wear of the uncoated tools (K313) at feed 0.075 mm/rev was not considered in the finite element simulation. The results were consistent with the research of Devillez et al. [37].

Conclusions
The influences of PVD Ti (1−x) Al x N coated tools on the cutting temperature in turning Inconel 718 were analyzed with mathematical analysis model and a finite element simulation model. The results were verified with an orthogonal cutting experiment. The cutting forces and the heat generation in the cutting zone were obtained to analyze the influences of PVD Ti 0.55 Al 0.45 N coating and PVD Ti 0.41 Al 0.59 N coating on the cutting temperature. The main conclusions can be drawn as follows: (1) The grain preferred orientations (111)

Conflicts of Interest:
The authors declare no conflict of interest.

B
Fraction of the shear plane heat conducted into the workpiece material q shear Heat liberation intensity of a moving shear plane heat source, J/(mm 2 ·s) α Thermal diffusivity, m 2 /s x, y, z Spatial coordinate axis, mm X,Y,Z Spatial coordinate axis of machine tool, mm l i Location of the differential small segment of the shear band heat source dli relative to the upper end of it and along its width, mm t Time, s V Cutting speed, m/min f Feed, mm/rev a p Depth of cut, mm t c undeformed chip thickness, mm w Width of shear plane heat source, mm L Length of shear plane heat source, mm F t Radial force or feed force, N F c Tangential force, N K 0 Modified Bessel function of second kind of order zero T Temperature, • C T max-workpiece Maximum temperature of workpiece during cutting process, • C u Integral variable of shear band length T primary Temperature generated by the primary shear heat source, • C T imaginary Temperature generated by the imaginary shear heat source, • C T max-tool Maximum temperature of tool during cutting process, • C T max-substrate Maximum temperature of substrate during cutting process, • C