Abstract
The effect of cutting temperatures on the hole quality in multi-layered carbon fibre reinforced polymer (CFRP)/Ti stacks was investigated. The cutting force, cutting heat, hole surface, and subsurface quality of CFRP during drilling with and without Ti alloy supporting layer were analyzed, and the evaluation method for subsurface damage was proposed. The results show the cutting temperature and subsurface quality are greatly influenced by the existence or absence of Ti alloy supporting layer, whereas the cutting force and surface quality are slightly affected. A large amount of cutting heat is generated during cutting process of CFRP and Ti alloy simultaneously, resulting in the significant increase in temperature at the exit part of CFRP holes. The high temperature reduces the rigidity and bonding performance of CFRP resin matrix, leading to serious subsurface damage of the fibre layers around the exit part of CFRP holes. The subsurface damage was also evaluated by the proposed method, and the fibre layer at the exit part of holes is the most damaged, and the farther the distance away from the exit part of holes, the less damaged the subsurface. Therefore, the cutting temperature significantly influences the subsurface quality of CFRP hole during the drilling of multi-layered CFRP/Ti stacks, and subsurface damage is crucial to evaluate the machining quality of CFRP.
Science Press
The carbon fibre reinforced polymer (CFRP) is widely used in aeronautics, military, medical treatment, and transportation fields due to its characteristics of lightweight, high modulus, high intensity, fair corrosion resistance, and good fatigue resistanc
Conventional drilling is a commonly used borehole technique. However, the high cutting forc
During the drilling of CFRP and CFRP/Ti stacks, the severe machining damage occurs inevitably, and the hole quality should be considered. Luo et a
Typical drilling environments are relatively closed, so the cutting zone temperature rises quickly and can become even higher than the glass transition temperature (GTT) of CFRP. Then, the damage near the exit part of CFRP holes occurs easil
Currently, the drilling of CFRP or CFRP/Ti stacks has been widely studied in terms of drilling processing parameters, damage at the entrance and exit of holes, and damage at the lamination interface. However, the cutting temperature and its effect on the subsurface quality of CFRP hole in CFRP/Ti stacks during drilling are rarely investigated. Hence, the effect of cutting temperature and cutting force on CFRP subsurface damages of CFRP/Ti stacks during drilling was analyzed in this research. A comparative study of CFRP drilling with and without Ti alloy supporting layer was conducted. A subsurface damage evaluation method was proposed and the subsurface damage distribution could be determined. This research provides reference and guidance for subsurface quality and damage analyses during drilling.
The orientation angles of CFRP in this research were 0°, 45°, 90°, -45°, -45°, 90°, 45°, and 0°, and the stack thickness was 2 mm. The material parameters are listed in
A VMC850B numerical control process centre was used. The coolants were not used in this research to eliminate the influence of cooling liquid. The Ti alloy supporting layer can increase the quality of the exit part of holes in the composite during the drilling of CFRP/Ti stacks. Therefore, the drilling of CFRP and CFRP/Ti stacks, namely Process I and Process II, respectively, was conducted. Process I included the pretreatment of a through-hole of Ф6 mm in the Ti alloy plate. Then CFRP plate was placed on the Ti plate and machined under the same conditions as the pretreatment of Ti plate, i.e., the drilling without Ti alloy supporting layer was conducted in Process I (

Fig.1 Schematic diagram of drilling processes
In the experiment, a Kistler9257B three-way dynamometer and Kistler 5070 charge amplifier were used to measure the cutting forces. Data collected by a data acquisition card were processed by DynoWare signal processing software. The cutting temperatures were estimated by a FLIR T630sc thermal infrared imager. There was a distance of 0.5 mm between the hole wall and the workpiece edges, and the thermal infrared imager lens and workpiece had a distance of 500 mm.
After drilling, CFRP plates were ground and polished by sandpapers (800#, 1000#, 1500#) and diamond polishing suspension for the morphology observation of the subsurface of hole walls.
Cutting forces in the machining process are normally evaluated by the forces Fx, Fy, and Fz. Fz mainly influences the quality at the entrance and exit parts of holes, while the torques Mx and My, generated by Fx and Fy, respectively, can cause deformation of the cutter, thereby triggering the vibrations. Hence, the hole diameter, the circular degree, and roughness of the cutter are all impacte

zone E in Fig.2b, resulting in a significant increase in cutting force. However, this study mainly focuses on stresses in CFRP. Thus, the subsequent cutting forces and torques after zone D and zone E are neglected.
The maximum Fz is 92.5 and 88.4 N and the maximum Mx is 3.1 and 2.6 N·m during Process I and Process II, respectively. Consequently, the cutting forces and torques in CFRP are similar, regardless of the presence of Ti alloy supporting layer during drilling.
The cutting temperature of CFRP/Ti stacks during drilling is shown in Fig.3. During Process II, the maximum cutting temperatures at the exit part of CFRP hole reaches 130.3 °C, which is about 35.5% higher than that during Process I (96.3 °C). Additionally, the cutting temperature of 8th fibre layer is 12.5% and 26.9% higher than that of 7th fibre layer during Process I and Process II, respectively. Hence, the cutting temperature is increased more with the presence of Ti alloy supporting layer.
During the drilling of CFRP/Ti stacks, CFRP and Ti alloy are almost simultaneously drilled at the interface of CFRP and Ti alloy. The change in cutting temperature at this stage is shown in zone A in Fig.3. Clearly, the two processes produce different cutting temperatures in zone A. The cutting temperature during Process II increases abruptly. Besides, the cutting temperature of Ti alloy is obtained after the drilling of 8th fibre layer, i.e., after drilling for 4.8 s.

The increased temperature in CFRP may cause changes in material properties, thus leading to serious processing damage. Excessive temperature in CFRP can easily cause the irreversible performance deterioration of the materials.
As the cutting temperature increases gradually, the internal structures of the resin molecules in CFRP and the viscoelasticity related to the internal molecular structures change greatly. Compared with the dynamic mechanical analysis results of CFRP in Ref.[
Hence, the storage modulus of the resin matrix decreases and the loss modulus increases when the processing temperature is high and almost approaches GTT, which can significantly decrease the cohesion force and rigidity of the resin matrix. Wang et a
The hole surface quality is crucial for material application. The surface morphologies of hole walls after different processes are shown in

Fig.4 Surface morphologies of hole walls after Process I (a) and Process II (b)
The fibre orientation angles in different layers are shown in

Fig.5 Schematic diagrams of fibre orientation angles (a) and cutting angle θ (b) with cutting position on the 8th fibre layer
The subsurface damage degree on the 8th fibre layer is relatively serious, as shown in

Fig.6 Subsurface damage on the 8th fibre layer of CFRP holes after Process I (a) and Process II (b)
Serious damage is generated on the subsurface at cutting angle of 135°. The largest subsurface damage depth is 39.1 μm after Process I. The maximum crack depth on the subsurface after Process II is 100.9 μm and the length is greater than 300 μm. Damage forms are mainly the bending ruptures of fibres and the ends of the ruptured fibres show a trend of diffusion into the bulk material. The rigidity and bonding strength of the matrix are decreased due to the high cutting temperature around the hole exit, which weakens the bonding between the fibres and matrix. Moreover, the bent fibres cannot obtain enough supports from the matrix, and therefore are easily broken. These failure mechanisms jointly form the relatively long bending ruptures.
At the cutting angle of 90°, the micro-cracks appear on the subsurface of hole walls after both the Process I and Process II, and the debonding damage occurs in the fibre matrix. Moreover, the fibres near the hole wall surface bend significantly. The longest micro-crack on the hole subsurface is 24.9 μm in length after Process II. The micro-cracks are caused by the extrusive bending of fibres on surfaces resulting from the pressure and stress from the circular bead of the cutter along the perpendicular direction.
At the cutting angle of 45°, the surface presents regular breakage pits. Moreover, the fibre damage after Process II is more serious than that after Process I. The maximum depths of the carbon fibre pits are 56.9 and 15.27 μm after Process II and Process I, respectively.
It can be seen from Fig.3 and
The cutting temperatures at hole exit are relatively high after Process II. Moreover, the subsurface damage on the 8th fibre layer includes serious fibre debonding, bending, and cracks. Nevertheless, the cutting temperatures at hole exits after Process I are lower than that after Process II, and the subsurface damage is also significantly less inferior. Pecat et a
During the drilling of CFRP and CFRP/Ti stacks, the fibres and resin matrix primarily tolerate the stresses along the direction perpendicular to the fibre orientation and along the fibre orientation, namely Orientation 2 and Orientation 1, respectively.
When the stress is along Orientation 1, the longitudinal deformation per unit volume of fibre and resin is as follows:
(1) |
where is the average strain along Orientation 1; l is the longitudinal length.
The average stress along Orientation 1 is as follows:
(2) |
where E1 is the elasticity modulus along Orientation 1; ε1 is the strain along Orientation 1.
Then the elasticity modulus along Orientation 1 can be expressed as follows:
(3) |
where Ef is the fibre elasticity modulus; Em is the matrix elasticity modulus; cf is the carbon fibre volume fraction. Em is decreased with increasing the temperature, leading to decrease in E1. The strain is increased because the average stress on the fibre matrix along Orientation 1 remains constant, thus leading to the increase in ΔƖ, which indicates that due to the reduction in elasticity modulus Em, the deformation of the fibre matrix is increased caused by the stress along Orientation 1. Therefore, it is easy to cause micro-cracks on the subsurface.
When the stress is along Orientation 2, the transverse deformation per unit volume of fibre and resin can be expressed as follows:
(4) |
where is the average strain along Orientation 2; B is the transverse deformation degree.
Then average strain along Orientation 2 can be obtained from
(5) |
where cm is the volume fraction of the matrix; is the average stress along Orientation 2. The stress is increased with decreasing Em, when the average stress along Orientation 2 remains constant, resulting in the increase in the lateral deformation. In brief, the stresses along Orientation 2 are produced through the decline in Em, and therefore the deformation of the fibre matrix is increased. Thus, the pits and bending/broken cracks are easily generated on the subsurface.
CFRP consists of fibre and resin matrix. The resin performance directly influences the CFRP performance. High temperatures can significantly decrease the rigidity and cohesiveness of resin, thus decreasing the strength of CFRP. Due to the cutting forces, the resin performances along the directions parallel or perpendicular to the fibre orientation are decreased, resulting in the formation of micro-cracks, transverse fibre pits, continuous pits, and fibre bending ruptures on the subsurface.
The distributions of subsurface damage of CFRP fibre layers were investigated layer by layer. The results show that the damage degree of the 1st~4th layers is consistent with that of the 5th layer. Thus, the damage distribution of the 1st~4th layers can be represented by that of the 5th layer. The subsurface damage positions are divided according to the cutting angles.

Fig.7 Damage distributions of the 5th~8th fibre layers around hole exit after different processes
In
The existing methods for damage evaluation of CFRP mainly focus on damaged surfaces, the surface quality of hole wall
The subsurface damage can be evaluated by the sum of subsurface damage depths in fibres at each cutting angle. The calculation equation for the degree of subsurface damage S can be expressed as follows:
(6) |
where di is the damage depth at i layer of a certain cutting angle; n is the number of different cutting angles. This research applied 8 cutting angles (n=8): θ=0°, 45°, 90°, 135°, 180°, 225°, 270°, 315°. Fig.8 shows the subsurface damage S of each fibre layer of CFRP after different processes.

Clearly, with shortening the distance to the hole exit, S is increased exponentially. The damage degree of fibre layers is increased with approaching the hole exit. The subsurface damage of the 8th fibre layer is 33% and 48% higher than that of the 7th fibre layer after Process I and Process II, respectively. Moreover, the subsurface damage of the 8th fibre layer after Process II is 31% higher than that after Process I; the subsurface damage of the 7th fibre layer after Process II is 18% higher than that after Process I. Therefore, the variation in subsurface damage on fibre layers is basically consistent with that of the cutting temperature. Therefore, the subsurface damage in CFRP after Process II is worse than that after Process I.
1) During the drilling process of the carbon fibre reinforced polymer (CFRP)/Ti stacks, the cutting temperature of CFRP with Ti alloy supporting layer is 35.5% higher than that of CFRP without Ti alloy supporting layer. The presence of Ti alloy supporting layer significantly influences the cutting temperature, but only has slight effects on the hole surface quality.
2) The temperature rise can decrease the structural rigidity and bonding performance of the resin matrix. The subsurface damage of CFRP after drilling with Ti alloy supporting layer is worse than that without Ti alloy supporting layer. The subsurface damage of CFRP after drilling with and without Ti alloy supporting layer both declines with extending the distance to the hole exit.
3) At the cutting angle of 0° or 90°, the subsurface damage of CFRP is the least severe. The severe damage occurs at cutting angle of 45° and the greatest damage occurs at cutting angle of 135°. Moreover, at the fixed cutting angle, different cutting temperatures can cause different degrees of subsurface damage.
4) The sum of the depths of subsurface damage at different cutting angles can be used to evaluate the subsurface damage of CFRP components.
5) The CFRP surface quality can better reflect the subsurface damage. This study provides guidance to improve the processing quality of composite materials, which can ameliorate the production of more advanced structures.
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