
Figure 1: Experimental apparatus and coolant-delivery configurations used for
turning TC18 titanium alloy. (A) LN₂-derived cryogenic N₂ gas-jet system,
including the LN₂ reservoir, electric pump, delivery line, temperature probe, workpiece, and cutting tool.
(B) Cryogenic N₂ gas-jet nozzle directed toward the tool–chip contact region.
(C) Flood delivery of DRK-5011 semi-synthetic cutting fluid to the cutting zone. Please click here to view
a larger version of this figure.

Figure 2: Vickers microhardness measurement layout and representative
indentation field in a polished TC18 cross-section. (A) Vickers microhardness
measurement layout. (B) Representative indentation field. The first indentation center was
approximately 10 µm below the machined surface, successive target depths were separated by 10 µm, and
adjacent impressions were offset laterally by approximately 30 µm. At each target depth, five separate
indentations were made at laterally offset positions, and the mean value at each depth was derived from these five
indentations. Scale bar = 20 µm. Please click here to view a larger version of this figure.
Plastically deformed zone
Cross-sectional micrographs first identified the visibly altered region immediately below the
turned surface. Under flood cooling with semi-synthetic cutting fluid at 20 °C, each section contained a
shallow band in which microstructural features were elongated and aligned approximately parallel to the machined
surface (Figure 3). The boundary between this flow-like morphology and the underlying
matrix was delineated in the micrographs, and the perpendicular distance from the machined surface to that boundary
was reported as the P-zone depth. This optical quantity records the depth over which visible deformation features
could be distinguished in the prepared section; it is not equivalent to the full depth of machining-induced strain.
At feed rates of 0.10, 0.15, 0.20, and 0.26 mm/rev, the flood-cooled representative P-zone depths were 8.5, 9.7,
10.9, and 21.6 µm. The first three measurements increased in 1.2 µm steps, whereas the change from 0.20 to
0.26 mm/rev was 10.7 µm. Thus, most of the total 13.1 µm rise observed across the tested range occurred at
the highest feed rate. The four-condition mean was 12.68 µm, but it is only a summary of the four displayed
conditions and not a pooled replicate-level estimate.

Figure 3: Near-surface microstructures of TC18 after turning under flood
cooling with DRK-5011 semi-synthetic cutting fluid at 20 °C. (A) Feed rates of
0.10 mm/rev. (B) Feed rates of 0.15 mm/rev. (C) Feed rates of 0.20 mm/rev.
(D) Feed rates of 0.26 mm/rev. The nominal cutting speed was 19.1 m/min, and the axial depth of cut
was 0.60 mm. Arrows indicate the cutting direction and the machined surface. Dashed lines delimit the visibly
plastically deformed zone (P-zone), and numerical labels indicate its depth from the machined surface. Scale bars =
10 µm. The micrographs shown are representative views selected from multiple fields of view examined in a
single cross-section for each cutting condition. The reported P-zone depths represent the mean of measurements from
at least three fields of view. Please click here to view a larger version of this figure.
The cryogenic N₂ gas-jet sections also contained a visibly deformed band, but its depth
was 6.0, 8.2, 10.7, and 11.0 µm at the same four feed rates (Figure 4).
Successive changes within this series were 2.2, 2.5, and 0.3 µm, producing a total range of 5.0 µm and a
four-condition mean of 8.98 µm. Relative to flood cooling at each matched feed, cryogenic cooling was
associated with a reduction in the annotated P-zone depth of approximately 29%, 15%, 2%, and 49%; the absolute
differences were 2.5, 1.5, 0.2, and 10.6 µm. The separation between modes was therefore condition-dependent: it
was almost absent at 0.20 mm/rev but largest at 0.26 mm/rev. Across the four displayed settings, the difference
between the mode-specific means was 3.70 µm, equivalent to 29% of the flood mean. Because only a single
machined specimen was evaluated per condition and replicate-level optical measurements with a pooled dispersion
estimate were not available, all condition-specific and mean comparisons above are descriptive. Measurement-level
repeatability (≥3 fields per condition, two independent boundary delineations, standard deviations from
repeated placements) was used to gauge annotation scatter, but this does not represent inter-specimen variability.
In particular, the 0.2 µm difference at 0.20 mm/rev is within the measurement uncertainty and cannot be treated
as evidence of a reproducible cooling effect without additional sections and independent measurements.

Figure 4: Near-surface microstructures of TC18 after turning under
LN₂-derived cryogenic N₂ gas-jet cooling. (A) Feed rates of 0.10 mm/rev.
(B) Feed rates of 0.15 mm/rev. (C) Feed rates of 0.20 mm/rev. (D)
Feed rates of 0.26 mm/rev. The nominal cutting speed was 19.1 m/min, and the axial depth of cut was 0.60 mm. Arrows
indicate the cutting direction and the machined surface. Dashed lines delimit the visibly plastically deformed zone
(P-zone), and numerical labels indicate its depth from the machined surface. Scale bars = 10 µm. The
micrographs shown are representative views selected from multiple fields of view examined in a single cross-section
for each cutting condition. The reported P-zone depths represent the mean of measurements from at least three fields
of view. Please click here
to view a larger version of this figure.
The representative cryogenic P-zone depth was numerically below the flood value at every feed,
but the magnitude of the difference did not vary monotonically with feed. The flood series rose sharply at the final
setting, whereas the cryogenic series changed only from 10.7 to 11.0 µm over the range 0.20 to 0.26 mm/rev. The
images, therefore, show a feed-dependent numerical pattern rather than a constant percentage benefit or a
statistical interaction. Moreover, the visible boundary does not quantify temperature, force, residual stress,
crystallographic defect density, or the strain remaining beyond the optically recognizable band. Those quantities
require separate measurements and are considered only as possible explanations in the Discussion.
Near-surface microhardness and hardened-layer thickness
Microhardness profiles were measured from approximately 10 µm below the machined surface
toward the matrix (Figure 5). Across the conditions, the highest values occurred in
the near-surface region, after which the profiles approached the measured matrix-hardness band of HV 376–388
(nominal center, HV 384). Under flood cooling, near-surface microhardness was 407.33 ± 2.52, 411.00 ±
4.58, 416.67 ± 4.51, and 424.67 ± 2.52 HV as feed increased from 0.10 to 0.26 mm/rev. Corresponding
cryogenic values were 414.67 ± 3.79, 445.67 ± 3.51, 420.33 ± 5.77, and 429.33 ± 5.86 HV. These
standard deviations were derived from five indentations at each depth on a single cross-section per cutting
condition, reflecting spatial variation within that section rather than variation across independently machined
specimens. The paired cryogenic-minus-flood differences were 7.34, 34.67, 3.66, and 4.66 HV. The largest surface
value, 445.67 ± 3.51 HV, occurred at 0.15 mm/rev under cryogenic cooling; because the cryogenic series was
non-monotonic, it is reported as the largest observed mean rather than an optimum. Averaging the four feed-rate
means gave 414.92 HV under flood cooling and 427.50 HV under cryogenic cooling, a descriptive difference of
approximately 3%. Most of that mean separation arose from the 34.67 HV difference at 0.15 mm/rev, whereas
differences at 0.20 and 0.26 mm/rev were below 5 HV. Relative to the flood value at the same feed, the
surface-hardness differences were approximately 1.80%, 8.44%, 0.88%, and 1.10%. This distribution illustrates why
the four-condition mean should not be described as a uniform 3.03% increase across all feeds. All eight surface
values were above the nominal matrix center of HV 384, but the depth profiles, rather than the first point alone,
were required to determine how far the mechanical response extended below the surface.

Figure 5: Near-surface microhardness profiles of TC18 under flood and
cryogenic N₂ gas-jet cooling. Microhardness profiles as a function of depth below the machined
surface at feed rates of (A) 0.10 mm/rev, (B) 0.15 mm/rev, (C)
0.20 mm/rev, and (D) 0.26 mm/rev. The nominal cutting speed was 19.1 m/min, and the axial depth of
cut was 0.60 mm. The first indentation center was positioned approximately 10 µm below the machined surface.
Error bars indicate the SD calculated from five indentations at each depth on a single cross-section for each
cutting condition and therefore represent measurement repeatability rather than variation among independently
machined specimens. The matrix-hardness reference band ranged from HV 376 to 388, with a nominal central value of HV
384. Please click here to
view a larger version of this figure.
Hardened-layer thickness was derived from the depth at which each profile returned to and
remained within the measured matrix band (Table 4). Under flood cooling, the values were 30, 20,
50, and 50 µm at feed rates of 0.10, 0.15, 0.20, and 0.26 mm/rev, respectively. With a measurement step of 10
µm, these values carry an uncertainty of approximately ±10 µm. Under cryogenic cooling, the
respective values were 50, 40, 60, and 60 µm (±10 µm). Averaging the four feed-rate values gave 37.5
µm under flood cooling and 52.5 µm under cryogenic cooling, a descriptive increase of approximately 40%
rather than a precise 40.0%. Given the ±10 µm uncertainty, the effective ranges overlap considerably; the
observed difference should therefore be interpreted as a trend rather than a precisely quantified effect. The
optical P-zone and the hardness-defined layer did not vary in parallel, as expected from their definitions. P-zone
depth ends where visible flow-like morphology is no longer distinguishable, whereas hardened-layer thickness ends
where the mechanical profile returns to the matrix band. A shallower P-zone can therefore coexist with a thicker
hardness response without contradiction. On a condition-by-condition basis, the thickness differences corresponded
to descriptive increases that varied substantially with feed and, given the ±10 µm uncertainty, should be
interpreted as qualitative trends rather than precise percentages. These percentages varied substantially with feed
and do not support a feed-independent effect size.
Table 4: Surface-integrity metrics of TC18 under different cooling conditions.
Near-surface microhardness, hardened-layer thickness, representative P-zone depth, and surface roughness are
summarized for flood cooling and LN₂-derived cryogenic N₂ gas-jet cooling across the tested feed rates.
Near-surface microhardness and Ra are reported as mean ± SD where available, whereas hardened-layer
thickness and representative P-zone depth are reported as descriptive depth values. Please click here to download this
Table.
Surface roughness
The complete matched feed-rate roughness comparison is listed in Table 4, with
each value representing the mean and standard deviation from five measurement positions per specimen. Under
flood cooling, Ra was 1.099 ± 0.100, 1.635 ± 0.120, 2.815 ± 0.130, and 3.529 ± 0.180
µm at feeds of 0.10, 0.15, 0.20, and 0.26 mm/rev. Under cryogenic cooling, the corresponding values were 0.841
± 0.070, 1.304 ± 0.200, 2.491 ± 0.150, and 3.245 ± 0.250 µm. These standard deviations were
calculated from five measurement positions on a single specimen per cutting condition and therefore represent
measurement repeatability rather than specimen-to-specimen variation. Ra increased with feed in both
series, and the cryogenic value was lower at each matched setting. Absolute differences were 0.258, 0.331, 0.324,
and 0.284 µm, corresponding to descriptive relative differences of approximately 23%, 20%, 12%, and 8%. Thus,
the absolute separation remained within a relatively narrow range, whereas the percentage reduction became smaller
as the overall roughness level increased. Means and reported SDs are presented as supplied; without a documented
inferential analysis, the between-mode differences remain descriptive. The similarity of the absolute reductions,
despite the rising baseline Ra, explains the decline in relative percentage. From 0.10 to 0.26 mm/rev,
flood-cooled Ra increased by 2.430 µm and cryogenic Ra by 2.404 µm. Thus, the primary
feed-related rise was of comparable magnitude in the two series, while the cryogenic sequence remained offset toward
lower values throughout the tested range.

Figure 6: Arithmetic mean surface roughness of TC18 under flood and cryogenic
N₂ gas-jet cooling. Arithmetic mean surface roughness (R-a) as a function of (A)
cutting speed at f = 0.15 mm/rev and ap = 0.60 mm, (B) feed rate at
v₍c₎ = 19.1 m/min and ap = 0.60 mm, and (C) axial depth of cut
at v₍c₎ = 19.1 m/min and f = 0.15 mm/rev. Each panel shows the LN₂-derived
cryogenic N₂ gas-jet series together with the available flood-cooling reference: v₍c₎ =
19.1 m/min in (A), f = 0.26 mm/rev in (B), and ap = 1.00
mm in (C). The absence of a flood-cooling bar at other settings indicates that the corresponding
flood-cooling measurements were unavailable, not that the roughness was zero. Error bars indicate the SD calculated
from five measurement positions on a single specimen per cutting condition and represent measurement repeatability
rather than specimen-to-specimen variation. Please click here to view a larger version of this figure.
Figure 6 places the feed-rate series alongside two auxiliary
single-factor cryogenic series. At cutting speeds of 10.6, 14.1, and 19.1 m/min, with f = 0.15 mm/rev and
ap = 0.60 mm, cryogenic Ra was 2.554 ± 0.100, 1.380 ± 0.100, and 1.304 ± 0.200
µm. A flood reference was available only at 19.1 m/min, where Ra was 1.635 ± 0.120 µm. The
speed panel, therefore, supports one matched comparison and a within-cryogenic trend, not a comparison across the
complete speed range. At depths of cut of 0.40, 0.60, 0.80, and 1.00 mm, with vc = 19.1 m/min and
f = 0.15 mm/rev, cryogenic Ra was 1.294 ± 0.100, 1.304 ± 0.200, 1.576 ± 0.150, and
1.616 ± 0.100 µm. The available flood reference at 1.00 mm was 1.788 ± 0.180 µm, 0.172 µm
above the cryogenic value at the same setting. Flood bars were unavailable at the other three depths. The feed panel
itself displays the cryogenic series and one flood reference bar at 0.26 mm/rev, whereas Table 4
contains the complete paired feed dataset. Omitted bars denote unavailable measurements rather than zero roughness.
Taken together, the main dataset showed lower P-zone depth and Ra, but higher near-surface microhardness
and hardened-layer thickness, under cryogenic cooling. The auxiliary series extends the description of Ra
but cannot support a general cross-mode comparison. Across the cryogenic speed series, Ra showed a
within-series decrease of 1.250 µm (48.9%) from 10.6 to 19.1 m/min; at the single matched point at 19.1 m/min,
it was 20.2% below the flood reference. Across the cryogenic depth series, Ra showed a within-series
increase of 0.322 µm (24.9%) from 0.40 to 1.00 mm; at the matched 1.00 mm point, it was 9.6% below the flood
reference. These endpoint calculations summarize the observed within-cryogenic trends, but because flood references
are available only at the endpoints, they cannot be interpreted as suggesting a cooling advantage across the full
speed or depth range.
Data availability
The raw data generated and analyzed during this study, including surface roughness measurements,
microhardness profiles, and metallographic images, have been deposited in the Science Data Bank (https://www.scidb.cn) under DOI: https://doi.org/10.57760/sciencedb.0115i.
Table 1: Batch-specific elemental composition of the TC18 titanium alloy used in this
study. Values were obtained from the supplier material certificate for the TC18 bar used in the
experiments (Certificate No. 20250268). Ti was reported as the balance. Please click here to download this
Table.
Table 2: Room-temperature mechanical properties of TC18 titanium alloy.
Supplier standard values are presented alongside the batch-specific mechanical-property values reported in
the material certificate for the TC18 bar used in this study. Please click here to download this
Table.
Supplementary File 1. Material certificate for the TC18 titanium alloy used in this
study. Supplier-issued quality certificate for the TC18 titanium bar used in the experiments
(Certificate No. 20250268; Shaanxi Huachen Titanium Co., Ltd.). The certificate provides batch-specific values for
chemical composition, tensile strength, yield strength, elongation, reduction of area, and hardness for the tested
material.Please click
here to download this file.