Introduction

In the past decades, titanium alloys have gained extensive applications in the aerospace and biomaterial industries, primarily thanks to their excellent mechanical properties, corrosion resistance, and biocompatibility. Apart from Ti-6Al-4V, which is the most prominent α + β titanium alloy in the market, metastable β-titanium alloys, for instance Ti-15V-3Cr-3Al-3Sn, attracted substantial attention of the aerospace industry thanks to their high tensile strength and better deformability compared to those of α or α + β alloys (Ref 1). However, β-titanium alloys are notoriously hard to machine because of their low thermal conductivity and high chemical reactivity with tool materials (Ref 2, 3). Therefore, an advanced technique, ultrasonically assisted turning (UAT), was employed to improve machinability of the Ti-15V-3Cr-3Al-3Sn alloy (Ref 4-8). During UAT, a high-frequency vibration is imposed on the cutting tool (Ref 9-12), offering a number of benefits to the machining process including lower cutting forces (Ref 13) and improved finish of machined surface (Ref 10).

A number of researchers focused on machinability of titanium alloys (Ref 14-16), morphology of titanium alloy machining chips (Ref 17-22), and numerical simulations of chip formation (Ref 23-27); however, a very few studied the microstructure of machining chips, especially the nanostructure generated during the machining process. A systematic study of machining chips will help in the understanding of deformation characteristics of the materials exposed to different machining techniques.

During a traditional machining process, a tool is forced into a surface of the machined work-piece separating a chip from the parent material due to shear deformation along a primary shear zone (Ref 28). Generation of this zone involves severe strains localized in a narrow region, which may cause shear failure. In addition to the primary shear zone, friction between the formed chip and the tool’s rake face can result in a secondary shear zone (Ref 28, 29). The schematic of primary and secondary shear zone with respect to the cutting force is illustrated in Fig. 1(a). In order to examine the shear strain introduced in the primary shear zone, the chips are modeled as parallel plates (Fig. 1b). The strain level is derived using the shear strain triangle shown in Fig. 1(c) (Ref 28):

Fig. 1
figure 1

(a) Schematic of formation of primary and secondary shear zone: R is the resultant force, F X is the main cutting force, and F Y is the feed force (after Ref 13), (b) the parallel plate model of chips, and (c) shear strain triangle (Ref 28)

$$\upgamma \, = \,\frac{\text{AC}}{\text{BD}}\, = \,\frac{{{\text{AD}}\,{ + }\,{\text{DC}}}}{\text{BD}}\,{ = }\,\frac{\text{AD}}{\text{BD}}\,{ + }\,\frac{\text{DC}}{\text{BD}}\, = \,\cot \upvarphi \, + \,\tan \left( {\upvarphi - \upalpha } \right),$$
(1)

where γ represents the shear strain, α represents the tool rake angle (14° in this study) (Ref 9, 10), and ϕ represents the shear plane angle, which is given by

$$\tan \upphi = \frac{{\frac{{t_{ 0} }}{{t_{\text{c}} }}\cos \upalpha }}{{1 - \frac{{t_{ 0} }}{{t_{\text{c}} }}\sin \upalpha }},$$
(2)

where t 0 represents the depth of cut, and t c represents the chip thickness after machining.

As a result of generation of highly localized strains, the microstructures at the shear zones are distinct from those of the parent material. This study aims to reveal the character of microstructures in the primary and secondary shear zones employing machining chips of Ti-15V-3Cr-3Al-3Sn produced with conventional turning and UAT.

Materials and Methods

Machining chips were obtained with conventional and UAT; both machining operations were performed without coolant or lubricant to avoid contamination. The turning was carried out with a cutting speed of 10 m/min, a feed rate of 0.1 mm/rev with a cutting depth of 100 μm. Turning was performed for 500 s for each experiment run. Machining tools were made of cemented carbide coated with titanium-aluminum-nitride layer and with a nose radius of 0.8 mm. The cutting tool was normal to the work-piece axis, and the effective rake angle was ~14°. In order to circumvent the influence caused by the wear of machining tool, a new tool was used for each experimental run. For the UAT process, the vibration of the machining tool was monitored by a noncontacted Polytec laser vibrometer (Model: OFV-3001). The imposed vibration was imposed in a tangential direction and its frequency was ~20 kHz. A detailed experimental setup of UAT was described elsewhere (Ref 9, 10).

Continuous chips were collected in form of a curl, as shown in Fig. 2. To avoid substantial microstructural difference of the examined chip, the chip near the beginning or the end of the test was not used in this study. In order to reveal the cross-sectional microstructure, the chips were mounted edge-on in conductive Bakelite, and a bulk metal sample was also prepared along the cross section. Samples were ground on progressively finer silicon carbide papers, followed by polishing with 6 and 1 μm diamond solutions, and finished with a final polish using a mixture of colloidal silica and hydrogen peroxide (20%) to remove stresses induced during mechanical grinding. The thickness of chips was measured on optical micrographs using ImageJ. For both machining processes, typically 20 measurements were performed to determine the average thickness of the chips. Electron backscatter diffraction (EBSD) was performed using a LEO 1530 VP field emission gun scanning electron microscope (FEG-SEM) equipped with a HKL Nordlys F high-speed EBSD camera. Site-specific transmission electron microscopy (TEM) specimens were lifted out by using an FEI Nova 600 Nanolab Dual-Beam focused ion beam (FIB) SEM, and the nonsite-specific TEM samples were prepared by mechanical polishing to 50 µm followed by argon ion milling (gun current of 2.6 mA, voltage of 7 kV and angle of ±10°). The TEM analysis was conducted using JEOL 2000FX operated at 200 keV.

Fig. 2
figure 2

Collected Ti-15V-3Cr-3Al-3Sn chips

Results and Discussion

Ultrafine-Grained Microstructure in CT Machining Chips

A typical optical micrograph of a chip’s cross section of conventionally turned Ti-15V-3Cr-3Al-3Sn is shown in Fig. 3. The primary and secondary shear zones appear darker compared with surrounding matrix (as indicated by squares A and B in Fig. 3).

Fig. 3
figure 3

Optical micrograph of CT Ti-15V-3Cr-3Al-3Sn chip showing primary (a) and secondary (b) shear zones

A SEM image of the cross section of a CT Ti-15V-3Cr-3Al-3Sn (Fig. 4) shows finer microstructures in the primary and secondary shear zones, marked by arrows A and B in Fig. 4, with clear boundaries between the shear zones and segment areas, similar to those reported elsewhere (Ref 30, 31). However, no detailed microstructural characterization was reported in the literature to illustrate structural features in these shear zones.

Fig. 4
figure 4

SEM micrograph of CT Ti-15V-3Cr-3Al-3Sn chip cross section: (A) primary shear zone; (B) secondary shear zones

To understand the evolution of shear zones further, both SEM-EBSD and TEM were performed. The former was carried out in a region containing shear bands from primary shear zones, as shown in Fig. 5. As indicated in an inverse pole figure (IPF) orientation map (Fig. 5b), the segments adjacent to the shear bands have the same orientation (same color), which implies that the segments are likely to belong to the same grain before the chip was separated from the bulk. An EBSD IPF orientation map (Fig. 6a) of another primary shear region exhibits shear bands formed continuously across two grains with misorientation of about 30° (Fig. 6b). This suggests that during the primary shear zone formation, catastrophic shear failure occurred at a very narrow shear zone leaving the adjacent matrix largely undeformed. In this study, the depth of cut (t 0) is 100 μm, and the measured chip thickness (t c) is approximately 135 ± 4 μm. Thus, according to Eq 1 and 2, the shear angle (ϕ) is ~41.2° and the imposed shear strain is approximately 1.67. Significant grain refinement was reported for ECAP-processed pure Ti with imposed shear strain of 0.6 (Ref 32). Therefore, with the shear strain of 1.67, large grain refinement is expected in Ti-15V-3Cr-3Al-3Sn.

Fig. 5
figure 5

Band contrast image (a) and IPF orientation map (b) of CT-produced Ti-15V-3Cr-3Al-3Sn chip (The inset is the color scheme of the corresponding orientation map.)

Fig. 6
figure 6

(a) SEM-EBSD IPF orientation map of CT-produced Ti-15V-3Cr-3Al-3Sn chip. (The inset is the color scheme of the corresponding orientation map.) (b) Misorientation profile from point A to B in (a)

In this study, severe plastic deformation at the primary shear zones impeded the quality of diffraction patterns. As a result, no information on grain morphology and orientation could be obtained with EBSD. Therefore, a site-specific TEM sample, containing one primary shear band and the surrounding matrix as indicated by square A in Fig. 3, was lifted out to reveal the microstructure of shear bands.

Figure 7a shows a TEM micrograph of the primary shear zone in CT-produced Ti-15V-3Cr-3Al-3Sn chips. A ring-shape corresponding selected area diffraction (SAD) pattern confirms that the β phase in the central band is nanocrystalline. The average grain size of this nanocrystalline region is ~80 nm. The mechanism for generation of nanocrystalline grains in the primary shear zone involves formation of dislocation cell structures. Usually, the dislocation cells form in the early stages of plastic deformation. With the accumulation of misorientation between neighboring dislocation cells, the cells transform into the final fine-grain structures (Ref 33). Estrin et al. (Ref 34) developed a constitutive model, which applies to the dislocation cells, addressing sufficiently large strains. The model assumes that the average dislocation cell size, d, is inversely proportional to the square root of dislocation density, ρ:

Fig. 7
figure 7

TEM micrographs of CT-produced Ti-15V-3Cr-3Al-3Sn chip at cross section of primary shear zone (a) with inset showing SAD pattern taking from nanocrystalline region and interface between nanocrystalline zone and adjacent matrix (b) (The inset in (b) is the diffraction pattern of the matrix; the beam direction is \([1\bar{1}3]\).)

$$d = \frac{K}{\sqrt \uprho },$$
(3)

where K is a constant. It is known that during the machining process, a large amount of dislocations are generated because of the imposed high shear strain in the primary shear zone and hence the formation of nanocrystalline grains.

There is a sharp boundary between the nanocrystalline region and the adjacent matrix, which is consistent with our observations with SEM; this interface at higher magnification is shown in Fig. 7(b). A SAD pattern taken from the adjacent matrix comprises a regular spot pattern indicating a large grain size. No grain refinement or dislocations were found in the adjacent matrix. This finding proves that the high level of shear strains are only localized at the narrow primary shear zone and have a negligible effect on the surrounding matrix. The sharpness of the shear deformation region was also observed in face-centered cubic metals, e.g., copper, with quick-stop optical micrography during machining (Ref 35).

The microstructure of a secondary shear zone was observed in a TEM sample lifted out from the area indicated by square B in Fig. 3. In contrast to the primary shear zone, the secondary shear zone consists of two distinct layers: layer A near the tool tip-chip interface and layer B further away from the tool tip (Fig. 8a). At higher magnification, a nanocrystalline microstructure of layer A is shown in Fig. 8(b); the corresponding SAD has a ring pattern. The average grain size in this region is approx. 80 nm. Below the nanocrystalline area (layer A), layer B contained elongated grains (marked with a circle in Fig. 8c). Compared to Fig. 8(b), the grains in Fig. 8(c) appear larger, with an average grain size of ~150 nm.

Fig. 8
figure 8

TEM micrographs of CT-produced Ti-15V-3Cr-3Al-3Sn chip in cross section of secondary shear zone: (a) low magnification, (b) nanosized grains near interface (layer A), (c) elongated grains away from the interface (layer B)

A comparison with the primary shear zone (Fig. 7) demonstrates that the nanostructure region in the secondary shear zone (Fig. 8) is relatively wider with heterogeneous grain size distribution. This phenomenon can be explained with the aid of finite-element modeling of similar microstructures formed in carbon steel chips (Ref 36). The study suggested that the effective strain gradually attenuated with an increasing distance from the tool tip-chip interface, since the material near that interface might be subjected to friction-induced deformation followed by shearing in the primary shear zone (Ref 36). Therefore, the grain refinement effect is more significant near the chip surface, and bigger and elongated grains were observed away from the chip surface.

Microstructure of UAT Ti-15V-3Cr-3Al-3Sn Chips

An optical micrograph of Ti-15V-3Cr-3Al-3Sn chip obtained with UAT (Fig. 9) demonstrates that its cross-sectional microstructure is similar to that of CT chips. Clear boundaries could also be observed between the shear zones and the surrounding matrix. It is noted that the thickness of the UAT chip is ~110 ± 8 µm, less than that of the CT chip (~135 ± 4 µm). Using Eq 2, the calculated shear plane angle is ~49.2°. It is known that a larger shear plane angle results in a smaller shear plane area and hence a lower chip-formation shear force, which facilitates the machining process (Ref 28). This result mutually corroborates with the previous studies carried out with Ti-15V-3Cr-3Al-3Sn (Ref 9-11), according to which the measured cutting forces during UAT were observed to reduce in excess of 70% compared with CT. In addition to reduced cutting force, the improved surface quality also benefits from the lower friction in UAT (Ref 10).

Fig. 9
figure 9

Optical micrograph of cross section of UAT-produced Ti-15V-3Cr-3Al-3Sn chip

Compared with CT, the increase of the shear plane angle for UAT is attributed to the reduction of friction between the machining tool and the chips (Ref 37). The reduced friction during UAT process can be explained based on the fact that due to a high-frequency vibration subjected to the tool, the elastic-plastic behavior of the titanium alloy is changed, i.e., quasiviscous friction occurs in the tool tip-chip interface (Ref 10, 38). Because of the acoustic softening effect, the critical static shear stress for plastic deformation is reduced under ultrasonic excitation (Ref 39). In addition, another cause of the reduced friction may be due to the increase in temperature in UAT chip during processing (Ref 40): the yield strength of the material at the tool tip-chip interface decreased due to the hot softening effect.

A SEM-EBSD orientation map showing the cross-sectional microstructure of the UAT chip is presented in Fig. 10. According to Eq 1, the shear strain in the primary shear zone is ~1.57, lower than that in the CT machining chips but still high enough to refine the grains in the narrow region. The TEM micrograph (Fig. 11a) confirms the formation of ultrafine grains in the primary shear zone for the UAT chips. Compared with CT, the most distinguishable difference in the primary shear zone is the larger grain size in UAT chip: the average grain size is ~110 nm. In addition, the ultrafine-grain region in the UAT chip was less homogeneous than the CT one: some grains of size ~180 nm were found, as shown in Fig. 11(b).

Fig. 10
figure 10

Band contrast image (a) and IPF orientation map (b) of UAT-produced Ti-15V-3Cr-3Al-3Sn machining chip (the inset is the color scheme of the corresponding orientation map)

Fig. 11
figure 11

TEM micrographs of the primary shear zone in UAT-produced Ti-15V-3Cr-3Al-3Sn chip (a) nanostructure region and (b) individual large grains

A comparison between the optical micrographs of CT and UAT chips (Fig. 3, 9) indicates that the thicknesses of the secondary shear zones for the CT and UAT chips are similar: both of them are ~10 µm. Figure 12 shows the TEM micrograph of the secondary shear zone in the chip produced by UAT. It reveals that ultrafine grains also formed during UAT process, however, due to the lower frictional force, the grain size is larger than that in the CT chips, moreover some grains of size ~200 nm were observed, as indicated by circles.

Fig. 12
figure 12

TEM micrograph of the secondary shear zone in UAT-produced chip

Microstructure of Work-Piece Subsurface

It is known that a secondary shear zone is a surface, where chips are stripped off from a work-piece. Therefore, a subsurface microstructure of the work-piece is supposed to be identical to that of the secondary shear zone (Ref 41).

A SEM micrograph of the CT work-piece surface (Fig. 13a) exhibits a deformation layer of ~5 µm on the subsurface. Here two layers with different grain sizes can be identified marked as layers A and B in Fig. 13(a). This result is consistent with observations in the TEM micrograph of the CT-produced chip (Fig. 8a). Figure 13(b) confirms that the deformation layer has a nanocrystalline microstructure and a clear boundary separating a heavily deformed region from that with the original microstructure. At higher magnification, it is obvious that the grains are elongated along the turning tangential direction in the nanocrystalline region (Fig. 13c). A ring-shape SAD pattern with six strong spots implies that the grains in this nanocrystalline zone have preferred orientation in 〈110〉 direction parallel to the turning tangential direction.

Fig. 13
figure 13

Deformed layer of CT-produced Ti-15V-3Cr-3Al-3Sn work-piece surface: (a) SEM, (b) TEM, (c) bright-field image of nanocrystalline grains, (d) corresponding dark-field image showing grains with one set of <110> parallel to turning tangential direction

The cross-sectional microstructure of the UAT work-piece subsurface is presented in Fig. 14. A similar severely deformed layer of ~5 µm in thickness was produced during UAT, within which two layers with different grain sizes can be observed.

Fig. 14
figure 14

Severely deformed layer of UAT-produced Ti-15V-3Cr-3Al-3Sn work-piece subsurface

Conclusions

In this study, the microstructures of Ti-15V-3Cr-3Al-3Sn chips produced with conventional and UAT techniques were investigated. The major conclusions are as follows:

  • The primary shear zone in CT chips consists of a homogeneous nanomicrostructure with clear boundaries with the surrounding undeformed matrix.

  • The ultrafine-grain region in the secondary shear zone for CT process is less homogeneous than that in the primary shear zone due to the effective strain attenuation.

  • As a result of reduced frictional force, machining chips produced by UAT demonstrate a larger shear plane angle and lower shear strain. Larger grains were observed in the primary and secondary shear zones.

  • A heavily deformed layer with depth of about 5 μm was formed at the surface of the machined bulk material replicating the microstructure of the secondary shear zone of the machining chips. Its nanocrystalline grains were equiaxed close to the surface and were elongated along the turning tangential direction ~1 or 2 µm away from it.