1. Introduction
Given their high production efficiency and wide processing range, broach tools have been employed in broaching metallic material. However, due to its higher cutting force and the difficulty of chip breakage, the surface quality of the workpiece deteriorates, and is unable to meet the high requirements for broaching performance, especially in the broaching of aerospace materials [
1,
2]. Furthermore, intense friction is produced between the rake face and the chip during the broaching of viscous materials (aluminum alloy, titanium alloy, etc.), resulting in a large amount of processing heat being generated. This heat is concentrated on the tool-chip interface, which leads to large deformation of the workpiece material [
3]. In recent years, many researchers have tried to change the morphology of the rake face to reduce the friction of the tool–chip interface [
4]. Therefore, it is of great significance to study the functional structure of broach surfaces [
5]. At the same time, in the broaching of difficult-to-machine materials, such as aviation aluminum alloys, it is urgent to prepare a new broach to ensure lower cutting force and easy chip breaking, and improve the surface roughness of the workpiece.
At present, the main method to improve the cutting performance is to prepare a texture on the broach rake face [
4,
5,
6,
7,
8]. Hao et al. [
9] proposed a method for improving cutting tool anti-friction performance by constructing textured surfaces. In order to change tribological characteristics, Siju et al. [
10] also fabricated innovative dual-texture geometries on the tool. Ashwani et al. [
11] created tools with an optimal intermittent ratio and varying texture dimensions. Although textures can improve tool-cutting performance, they also destroy the stress distribution on the tool surface and reduce tool strength.
In addition, many scholars improved the processing of materials with coated tools [
12,
13,
14,
15]. Zhou et al. [
16] investigated the effect of Co and cubic carbonitride content on the microstructure of alloy and cutting performance of coated tools. The experiment showed that the coating tools improved cutting performance by reducing flank wear. Lu et al. [
17] fabricated the gradient TiAlSiN coating by magnetron sputtering to enhance the cutting performance of the titanium alloy. Xiong et al. [
18] used a TiAlN-coated tool to study the machinability of TiB 2/7050Al composites. It was also found that the coating tool had a positive influence on the surface residual stress. However, a brittle decarburized layer is easily produced between the coating and the substrate as a result of the high coating temperature, leading to brittle fracture of the tool and reduced bending strength [
19].
In the preparation of textured tools and coated tools, texture shape and coating materials often perplex many scholars. Therefore, some researchers draw inspiration from the perspective of bionics. Thus, in the processing of tool optimization, bionics were employed to solve some mechanical problems [
20,
21,
22,
23]. To test the bionic polycrystalline diamond compact drill, Wang et al. [
24] created a bionic structure for the drill body and polycrystalline diamond compact cutter. Aiming at the problems listed above, Zhang et al. [
25] combined the bionic structure with a ball-end milling cutter to study its cutting performance. Compared with the non-textured tool, the bionic ball-end milling cutter exhibited a stable cutting force and small fluctuation. Zheng et al. [
26] optimized an example of bionic coupling and applied its shape to the surface of a workpiece. From the analysis of the mandible incisor profile of bamboo weevil larva, Tong et al. [
27] found that the primary cutting edge of the incisor is close to a standard circular shape, which helps improve the cutting efficiency of the mandible incisor.
Mathematical modeling for material structures is also an effective way to optimize material behavior. By correlating the geometry of the functional structure of the tool surface with the cutting parameters of the tool, Amal et al. [
28] created a model to assess the performance of a tool. Fabbrocino et al. [
29] developed a three-dimensional model to study the wave dynamics of highly nonlinearly tensioned monolithic metamaterials. Lee et al. [
30] applied the plasticity hypothesis of materials to solve processing issues. Fabbrocino et al. [
31] proposed a novel method for the kinetic analysis of two-dimensional lattice material structures. Wenzel et al. [
32] proposed a method for the evaluation of the wetting behavior of material surfaces. Pei et al. [
33] also conducted a simulation study of the wetting of hair surfaces with different topologies. Therefore, modeling is widely used to assist in guiding the dynamics of materials.
It can be seen from the studies above that many scholars have established functional surfaces on the tool surface, such as texture technology or coating technology, to improve the mechanical performance of the tool [
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27]. However, these methods destroyed the stress distribution on the tool surface, which resulted in a reduction of the strength of the tool. In this study, fluff was implanted on the broach surface by electrostatic flocking technology to improve the properties of broaching 7075 aluminum alloy. Moreover, to study the relationship between the parameters of the functional surface and the processing performance, a mathematical model was established relying on the parameters of the flocked surface and machining performance. In addition, a broaching experiment was conducted to validate the flocking broach and mathematical model. The cutting force, chip morphology, and surface quality of workpieces were analyzed based on the mathematical model and experimental results.
2. Experiment and Method
2.1. Bionics Principle
Different from other plants, the fluff of Daphniphyllum Calycinum Benth (DCB) (purchased from Anqing plant specimen Co., Ltd., Anqing, China) has an excellent ability to handle water and dust, which is consistent with the situation in the broaching process. To study the lipophilic properties of DCB, the surface morphology of DCB was taken by using a high-speed digital camera (Type: KEYENCE VW-9000, purchased from KEYENCE Co., Ltd., Shanghai, China) with a magnification of 500 times. The geometric structure of the DCB leaf surface is exhibited in
Figure 1. The study found that the back micromorphology of DCB leaves has better lipophilicity than that of the surface of FC leaves, which is attributed to the villi-like microstructure on the DCB surface. Therefore, DCB was selected as the bionic prototype and applied to the rake face of the broach to study its broaching performance in the processing of aviation materials.
2.2. The Selection of Broach and Workpiece
The experimental cutting tool is a single-tooth broach (purchased from Wuhu Cemented Carbide Cutting Tools Co., Ltd., Wuhan, China), which is mainly used for the processing of turbine mortises. Its material composition is cemented carbide (YG8, Co = 8 wt% and WC = 92 wt%). It has significant advantages as the material of the tool, owing to high strength and wear resistance. The specific mechanical properties of the YG8 are listed in
Table 1.
A 7075 aluminum alloy (purchased from Wuhu Cemented Carbide Cutting Tools Co., Ltd.) with a size of 10 × 20 × 30 mm was selected as the workpiece. Before the broaching experiment, the aluminum alloy’s surface was preliminarily treated with 2000 mesh sandpaper and 5000 mesh sandpaper, subsequently, and then cleaned by ultrasonically for 20 min. After being placed in a dry environment for one day, the broaching experiment was carried out on these workpieces. The specific parameters of the material are presented in
Table 2 and
Table 3.
2.3. The Preparation of the Flocked Broach
The preparation of flocking broaches was realized by electrostatic flocking technology, whose principle is exhibited in
Figure 2a. The specific preparation process was as follows: in step one, since nylon only adheres to the adhesive, the area without fluff was covered by a rubber belt. In step two, the uncovered areas were painted with the adhesive to guarantee that the fluff was implanted in the desired position. In step three, the treated broaches were put into the electrostatic flocking box. In step four, the fluff was neatly arranged on the surface of the processed tools under the action of a magnetic field after being charged. And finally, the fluff was fixed on the rake face after the adhesive was dried and solidified. The broach tools were prepared in this study, as shown in
Figure 2b.
The composition of the adhesive material was acrylic acid and polyurethane (purchased from Hangzhou Yunmao Plastic Co., Ltd., Hangzhou, China), and the material of fluff was white Nylon (purchased from Hangzhou Yunmao Plastic Co., Ltd.). Because a fiber of 0.8 mm has good wettability [
34], a fiber of this length is used in this experiment. The specific electrostatic flocking parameters are shown in
Table 4. In addition,
Table 5 presents the area and spacing of five kinds of broaches (FB1, FB2, FB3, FB4, and NB).
2.4. Broaching Experimental Settings
The purpose of the experiment was to evaluate the changes in the broaching load and chip morphology, and the quality of the workpiece when using different bionic functional broaches. The comparative experiment of broaching with the flocked broaches and an unflocked broach was carried out on a single-tooth broaching testbed, and its layout is presented in
Figure 3. The specific broaching parameters are shown in
Table 6.
According to the experimental scheme, the four kinds of flocked broaches and the unflocked broaches were used to perform the broaching experiment. In the broaching process, the three-dimensional force sensor (type: KISTLER9119AA2, purchased from Jiangsu Donghua Test Technology Co., Ltd., Taizhou, China), with its acquisition frequency of 1024 Hz, was used to collect the broaching load. After broaching, the morphologies of the chip and the workpiece were observed by using a high-speed digital camera (type: KEYENCE VW-9000).
2.5. Wettability and Spreading Experiment
The wettability experiment was carried out to evaluate the lipophilicity of the flocked broach. Castor oil has a better lubrication effect compared with other lubricants. Therefore, castor oil was used for the wettability experiment, and an amount of 3 μL was dropped on the surface of the broach in each experiment. The contact angles of the droplets on the metal surface were collected every second by a contact angle measuring instrument (JC2000D1 purchased from Shanghai Zhongchen Digital Technology Equipment Co., Ltd., Shanghai, China).
Next, the spreading experiment of lubricant on the metal surface was implemented. A total of 3 μL of castor oil was dropped on the metal surface, and the spreading effect of the droplet was observed by a high-speed camera (Type: KEYENCE VW-9000), with the pictures taken every 1 s. Subsequently, the collected images were processed as follows: firstly, the images of droplet spreading were grayed by software, and then the contour of the droplet spreading was captured by adjusting the color threshold. Finally, the size was calibrated to measure the edge area of the processing image to obtain the spreading area of the droplet.
3. Modeling of the Friction Coefficient of the Bionic Broach
By establishing the mathematical model of the flocked broach, we can better understand the change of the broach loads in the process of broaching, such as the friction coefficient, shear angle, and so on. Therefore, based on the traditional mathematical model [
30], the mathematical model of the flocked broach was established.
The relationship between the forces during processing is shown in
Figure 4. However, only the main
and
can be collected by a three-dimensional dynamometer. Therefore, other forces can be associated with the
and
, and the following formula was obtained:
where
is the resultant force of the positive pressure (
) and the cutting force (
);
β is the friction angle of the tool-chip interface; and γ is the rake angle of the tool.
Since the chip moves uniformly when the cutting state is stable, the resultant forces at the tool-workplace (
) and the tool–chip interface (
) are a pair of equilibrium forces. According to the force principle,
can be obtained.
Therefore, we can associate the force of the tool–chip interface with the force between the tool and the workpiece. The positive pressure force (
) between the rake face and the chip can be written as:
The friction force can be expressed as the product of chip shear stress and shear surface area.
where
is the friction force between the rake face and the chip,
is the contact area of the shear surface, and
is the shear stress.
In this study, when the nylon fibers were added to the rake face of the broach, the shear contact area was affected by the fluff, which can be expressed as follows:
Where
represents the coating width;
represents the width of the blank area, which is exhibited in
Figure 2b;
and
are the coating correction factor; and
is the effective contact length between the chip and the broach tooth.
The effective contact length between the chip and broach tooth is affected by the chip curl angle and chip radius, so it can be expressed as follows:
where
is the length of the fluff,
θ is the chip curl angle, and
R is the chip curling radius.
At the same time, when the fluff is added to the rake face of the broach tooth, the shear stress will also be affected by the fluff, which can be expressed as follows
where
is the oil film thickness and
represents the original shear stress without the fluff coating.
In the broaching process, lubricant is usually used to improve the broaching performance. As presented in
Figure 4, when the fluff is added to the surface of broach teeth, the lubricant remains on the surface of the broach for a longer time, and the oil film thickness can be expressed as follows:
where
is the oil film thickness,
h is the fluff length,
d represents the fluff diameter (approximately 8 µm),
e is the spacing of fluff pattern,
o,
p, and
q are the coefficients of the power function, and the adsorption coefficient
is a material-related factor.
The length of the fluff is an average value, which is calculated by intercepting the length of the fluff in a certain area.
where,
hi is the length of the selected area.
The spacing
e of fluff is an average value, which is calculated by intercepting the spacing of the fluff pattern in a certain area.
where
is the spacing of the selected area.
The friction coefficient is a common evaluation parameter in the machining process, which is expressed as follows:
When there is a stable oil film between the chip and the rake face, the friction coefficient and friction resistance can be effectively reduced when the chip slides on the rake face. By combining Equation (11),
μ was obtained, which is expressed as follows: