Abstract
Three kinds of WC-17Co powders with different densities were selected as starting material, and a coating with 0.3 mm in thickness was prepared by high velocity oxygen fuel (HVOF) method. The porosity of the three coatings was analyzed by SEM, the Knoop hardness and Young's modulus of the coatings were measured by indentation method. At the same time, the residual stress of the WC-17Co coating prepared by powders with different densities was measured by layer-stripping method. Results show that the porosity level of the coatings increases with increasing WC-17Co powder density, while the Knoop hardness and Young's modulus of the coatings decrease with the increase of powder density. The residual stress existing in the WC-17Co coating appears as compressive stress, which increases with the increase of the coating depth, and then decreases rapidly near the coating-substrate interface. The maximum residual stresses of the coatings deposited with powder density of 11.52, 12.86 and 13.49 g·c
Science Press
High velocity oxygen fuel (HVOF) spraying technology refers to the use of combustible gas fuel (such as hydrogen, propane or propylene) or combustible liquid fuel (such as aviation kerosene) mixed with oxygen (or compressed air) as a combustion gas, which is then ignited and burned in a high-pressure combustion chamber. After that, the violently burned and expanded combustion gas is constrained and compressed by the nozzle to form a supersonic flame stream. The powder material to be sprayed is fed in by the powder feeding gas (such as nitrogen) in an axial or radial direction along the combustion chamber, and is ejected after being heated and accelerated in the flam
HVOF spraying technology is mainly used for the preparation of cermet coatings, and the relatively high speed and low temperature of WC powder particles during spraying are the two most important characteristics. The high in-flight speed of the powder particles brings a high impact energy onto the matrix. While the relatively low temperature of the powder particles will inhibit the phase transition and oxidative decomposition of the material, so the HVOF deposited coating has high density and high bonding strength, and is easy to form a high-quality coatin
The residual stress of the coating prepared by the HVOF method is a key factor leading to the early failure of the coating. It has an important influence on the stress control, debonding analysis and service lifetime prediction of the component
In the studies on the residual stress of WC coatings, most scholars and researchers adopted finite element simulation analysis methods, X-ray diffraction methods and other research methods. Gui et a
It can be seen that there is little research on the performance and properties of the tungsten carbide coating deposited by different WC powder particles. Our group previously studied the effect of WC-17Co powder size on the mechanical properties of the coating
In this experiment, the substrate material was In718 nickel-based alloy, and the specimen size was 15 mm×15 mm×3 mm. The physical properties of the substrate material are as follows: Young's modulus 204 GPa and Poisson's ratio 0.3.
The spray material was WC-17Co powder produced by Metco, United States. Three kinds of powder particles (type-1, type-2, and type-3) with the same particle size and different densities were selected through the sieve shaker. The diameter of the powder was 10~40 μm, and the densities of type-1, type-2 and type-3 were tested as 11.52, 12.86 and 13.49 g·c

Fig.1 Micro-morphologies of WC-17Co powders with different densities: (a) type-1, (b) type-2, and (c) type-3
The JP5000 liquid fuel-oxygen HVOF system produced by TAFA, United States was applied during the coating fabrication process. In order to ensure accurate and stable control of the spraying distance and speed, the 2400M six-axis automatic manipulator produced by American ABB Company was used to control the spraying process. The thickness of the WC-17Co coating was 0.3 mm.
The Quanta FEG250 field emission scanning electron microscope (SEM) produced by Czech FEI Company was used to observe the micro-morphology and the “OLYCIA LEXT” software produced by Olympus Japan was applied to analyze the density and porosity of the coatings prepared by WC-17Co powder particles with different densities.
The Knoop microhardness and Young's modulus of the coating were measured by the HVS-1000 microhardness teste

Fig.2 Schematic diagram of Knoop indentation
The formula for calculating Knoop hardness (HK) is:
(1) |
where F=2.94 N, and a is the length of the long diagonal of the indentation.
The formula for calculating Young's modulus (E) is:
(2) |
where α is a constant 0.45; b/a is the ratio of the short diagonal to the long diagonal of the indentation, which is 1/7.11; b'/a' is the ratio of the short diagonal to the long diagonal of the indentation. The Young's modulus is also the average value of 10 indentation test points.
The residual stress distributed along the thickness of the coating was measured and calculated by layer-stripping method in this experimen

Fig.3 Schematic diagram of peeling method
It should be pointed out that the strain gauge is attached to the surface of the specimen opposite to the coating, and it records the strain change of the surface. Therefore, after each time of stripping, the actual strain change on the specimen is equal to the opposite value of the obtained strain data.
Set the center plane of the specimen as the reference plane (z=0). As the stripping test proceeds, the distribution of strain along the direction of thickness is a linear function of z, as presented in
(3) |
where εx and εy are the strain distribution along the thickness of the specimen; εx0 and εy0 represent the strain of the middle plane (z=0), Kx and Ky are the plane curvatures of the middle plane (z=0) in the x and y directions, respectively. The stress-strain equation for the isotropic plane stress behavior of the coating and the substrate is as follows:
(4) |
where σx and σy are the stresses in the x and y directions, respectively; v represents either the Poisson's ratio of the coating or the Poisson's ratio of the substrate, which can be expressed as vc and vb, respectively. And for E', it can be represented as E′c=Ec/(1-vc2) and E′b=Eb/(1-vb2) for the coating and the substrate, respectively.
and are defined as the force per unit length, and and are the moment per unit length. The resultant force and resultant moment can be easily calculated, as shown in
(5) |
The resultant force and the resultant moment can be expressed in the form of a matrix and they can be related to the stress, as shown in
(6) |
Substituting
(7) |
Among them:
(8) |
The relationship between the strain change ΔεxG, ΔεyG and εx0, εy0 on the side where the strain gauge is attached after the coating is stripped off can be expressed as:
(9) |
Substituting
(10) |
At the same time,
(11) |
where σxL and σyL are the coating stresses that are stripped off.
It can be seen that four equations involving four unknowns σxL, σyL, Kx, Ky can be obtained by
(12) |
where T=(H+h')/2 and T'=(H+h'+h)/2.
Solving
Finally, according to the test data, the Young's modulus value and the as-known Poisson's ratio of the different types of coatings measured by the indentation method, the residual stress distribution of the coating along the thickness direction can be calculated by

Fig.4 SEM images of coatings deposited with different powder densities: (a) type-1, (b) type-2, and (c) type-3
The Knoop hardness indentation loaded on the three types of coatings are presented in

Fig.5 Knoop indentations in different WC-17Co coatings: (a) type-1, (b) type-2, and (c) type-3

Fig.6 Knoop hardness and Young's modulus of coatings prepared with different densities of WC-17Co powders
It can be seen that the density (i.e. the porosity level) of the coating affects the basic mechanical properties of the coating, such as the hardness and Young's modulus. High-density coatings have higher hardness and Young's modulus, while low-density coatings have lower hardness and Young's mo-dulus.
The powder with low particle density (type-1) can transfer the heat more rapidly by itself during in-flight process, and its melting status before impacting the substrate is better, so the coating will have a higher density, then the hardness and Young's modulus of the coating will be higher as well. On the contrary, there may be areas that are not fully melted before impacting the substrate for the powder with high density, as it will take longer time for heat transfer compared to low density particle. We can see clearly from

Fig.7 Unmelted area and porous area found in type-3 coating

Fig.8 Residual stress distribution of coatings prepared by WC-17Co powders with different densities
In the thickness direction of the coating, the residual compressive stress gradually increases with the increase of the stripped thickness, and reaches the maximum near the interface between coating and substrate. This is because as discussed before, residual stress is mainly generated under the action of impact stress, thermal stress and quenching stress. The particles have high kinetic and thermal energy when they hit the substrate or the anterior layer of coating, and they are prone to generate large impact stress and thermal stress. For the position close to the substrate, the thickness is deep, and the number of impacts experienced during the coating preparation process is also greater, so the accumulated residual compressive stress value is the largest.
Then the value of residual compressive stress at the interface between coating and substrate decreases rapidly, and even the residual stress on the substrate appears as tensile stress. This can be explained by the fact that the In718 nickel based alloy is a homogeneous and dense material with good toughness, so it has better deformation and heat transfer ability after impacted by WC-17Co powders, so the compressive stress can be effectively released.

Fig.9 Maximum residual stress and depth of coatings prepared by WC-17Co powders with different densities
(1) Type-1 powder has the smallest density, and its maximum residual compressive stress is -798 MPa, which appears at a distance of 0.24 mm from the coating surface.
(2) Type-2 powder has moderate particle density, and its maximum residual compressive stress is -986 MPa, which appears at a distance of 0.26 mm from the coating surface.
(3) Type-3 powder has the highest particle density, and its maximum residual compressive stress is -1120 MPa, which appears at a distance of 0.28 mm away from the coating surface.
It can be seen that the kinetic energy of the particles will be converted to plastic deformation energy and elastic deformation energy after impacting the substrate, and then accumulated as residual compressive stress, while particles with higher density have greater in-flight kinetic energy and stronger impact on the substrate, so the maximum internal residual stress will be also greater. At the same time, the position where the maximum residual stress appears is closer to the substrate (further from the coating surface).
1) The porosity of the coating is positively correlated with the density of the WC-17Co powder: the porosity of the coating processed with powder densities of 11.52 g·c
2) Both Knoop hardness and Young's modulus of the coating decrease with increasing the density of WC-17Co powder. The Knoop hardness (HK) of type-1, type-2 and type-3 coatings is 12 680, 11 030 and 10 540 MPa, respectively, and the Young's modulus is 350, 305 and 291 GPa, respectively.
3) The residual stress existing in the WC-17Co coating appears as compressive stress, and it is distributed along the thickness of the coating. The stress value increases with the thickness of the coating (from surface to in-depth), and decreases rapidly near the interface between coating and substrate.
4) The maximum residual compressive stress of the WC-17Co coating increases with the increase of WC-17Co powder density. The maximum residual stresses of coatings of type-1, type-2 and type-3 are -798, -986 and -1120 MPa, respectively, which appear at 0.24, 0.26 and 0.28 mm below the coating surface, respectively.
5) In engineering applications, high-hardness coatings have higher wear resistance, while low-hardness coatings have better bending resistance. Therefore, the mechanical properties such as coating's hardness and Young's modulus cannot fully explain the criteria of coating quality. In actual applications, the process should be optimized according to different applications and requirements of the coating to determine the best preparation plan.
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