Composition Design and Fatigue Curves of Hardfacing Materials for Cold Roll

In order to improve the fatigue life of cold rolls, a series of hardfacing alloys were designed by orthogonal experiments considering the interaction between carbon, chromium, and niobium. Hardfacing layers were produced by Tungsten Inert Gas (TIG) arc welding. The effects of alloy content on microstructure and carbides and fatigue behavior at different load frequency and different temperature were analyzed.The results show that suitable combination of 0.5% C, 4.0% Cr, and 2.0%Nb can obtain a high hardness of 54.7 HRC for the formation of fine lath martensite and carbides with dispersed distribution. The new designed hardfacing materials have similar Δε-N curves with parent material in low load frequency and below 400C.


Introduction
The widely used backup rolls in industrial production always endure cycle load at high temperature during rolling process [1].Therefore, subsurface cracks can form for the contact fatigue and then propagate to surface resulting in spalling [2,3].In order to improve the mechanical properties of roll surface and avoid material waste for the replacement of new rolls, overlaying welding is usually used to develop surface layers, which make considerable contributions to high productivity, high product quality, extended roll life, and low material cost [4,5].
Hardfacing should be a material selected for high hardness and good microstructural and for strength and economy [6].There are many kinds of hardfacing alloy systems including cobalt-based, nickel-based, copper-based, and iron-based alloys.Fe-based alloys are considered as one of the most promising alloys for their high bonding strength, high hardness, excellent mechanical properties, and lower cost than cobalt-based and nickel-based overlaying, so it has drawn more and more attention in recent years [7].
Carbides such as chromium carbide and tungsten carbide are very important strengthening phases in hardfacing layer and used widely in hardfacing materials.However, the hardfacing layer must have higher fatigue resistance to avoid spalling failure, which requires that hardfacing layer must have a good match of hardness and toughness.So multialloy system is adopted to solve this problem.Except chromium and tungsten, strong carbide forming alloy elements such as niobium and titanium are added in hardfacing materials to gain hard MC type carbides.As one of the most effective hard particles, MC carbides are sphere and short rods in shape and the hardness is up to 2000∼3000 HV which will strengthen the hardfacing layer.Moreover, the carbides of niobium and titanium can effectively refine microstructure by pinning grain boundary [7][8][9] and be helpful for the improvement of toughness [10].
The purpose of this research is to control the type and quantity of carbides and predict fatigue curves of rolls under the condition of high temperature and different load frequency.New hardfacing materials with different content match of carbon, chromium, and niobium were developed with good match of strength and toughness.In addition, load frequency and temperature effects on hardfacing material were investigated compared with 9Cr2Mo.

Experiment and Calculation Method
2.1.Experimental Procedure.Three factors and three-level orthogonal experiments were adopted to design the hardfacing materials.The interactions between carbon, chromium, and niobium were considered in this study.The composition of hardfacing material is shown in Table 1.
The hardfacing materials were deposited on low carbon steel using the Tungsten Inert Gas Welding Technology.In order to gain undiluted layer, the thickness of hardfacing layers was approximately 8 mm.
The hardness was tested by Rockwell hardness testing machine.All specimens were etched with a solution of 4% nital.Microstructure examination of the specimens was carried out by Olycia M3 optical microscopy (OM) and Nova Nano SEM450s scanning electron microscopy.XPertMPD Xray diffractometer was used to analyze carbides.

Fatigue Curves Calculation.
The - relationship of materials can be obtained using fatigue test [11].However a lot of money and time will be spent.So calculating fatigue curves has great advantages.JMatPro, a multiplatform software program for the prediction of the properties of multicomponent alloys, was used to analyze the fatigue property (Δ- curves) of hardfacing materials.
In this method, a relationship between monotonic tensile properties and uniaxial fatigue properties was developed first and then combined high temperature properties (Young's modulus and strength) to evaluate the fatigue curves of the material.The relationship between the strain range Δ and subsequent fatigue life  is usually given by the classical Coffin-Manson Equation: in which Δ is total strain range in axial fatigue test; Δ  is elastic strain range in axial fatigue test; Δ  is plastic strain range in axial fatigue test;  is number of cycles to failure;    is axial fatigue strength coefficient;    is axial fatigue ductility coefficient;  is axial fatigue strength exponent;  is axial fatigue ductility exponent;   is cyclic strain hardening exponent;   is cyclic strain hardening coefficient.
The two equations are usually used to describe the cyclic stress-strain behavior and strain-life relationship [12]. 1 give the hardness results of orthogonal experiments.It can be seen that carbon is  the most effective factor for the hardfacing hardness and the least is chromium.Moreover, the hardness is improved with the increasing of carbon content and the decrease of niobium content.However, the hardness exhibited a drop and then rise with the increase of chromium content.This is related to the carbon redistribution and carbides content [4].As a strong carbide forming element, niobium carbides will precipitate first at high temperature stage.The higher the niobium content is, the lower the content of carbon in matrix and chromium carbides is and the lower the hardness is.According to the thermodynamic equilibrium calculation, the average mass fraction of NbC is 3.88%, 3.31%, and 3.45% in the level of 3.0% Cr, 4.0% Cr, and 5.0% Cr, respectively.As NbC has significant effect on hardness, the hardness exhibited a drop and then rise with the increasing chromium content.Through the analysis of Figure 1, 0.5% C, 3.0% Cr, and 2.0% Nb appear to be an optimum composition for the improved Rockwell hardness.

Hardness. Table 2 and Figure
Table 2 also shows that hardness changes evidently for the samples with different content match of carbon, chromium, and niobium.This contributes to carbides type and content (as shown in Figure 2).Under the condition of certain carbon content, the ratio of Cr/Nb is very important to the hardness.For alloy 1 with higher Cr/Nb ratio 1.5, the hardness is 42.3 HRC.But the hardness decreases evidently for alloys 2 and 3 with lower Cr/Nb ratio.The same phenomenon can be seen for samples with carbon content of 0.4% and 0.5%.Alloy 8 with 0.5% C and 2.0 Cr/Nb ratio has the highest hardness for its higher carbides content.It indicates that the good match of C, Cr, and Nb is crucial to achieve a hard matrix with a large fraction of carbides.
For the same chromium content, the interactions between carbon and niobium influence the hardness dramatically.The hardness of alloy 2 and alloy 8 with 4.0% Cr is 6.8 HRC and 54.7 HRC, respectively, for the different content of C and Nb.The microstructure of alloy 2 is composed of ferrite and carbides for the low carbon content and higher niobium content, as shown in Figure 3(a).The carbides mainly consist of NbC and TiC (as shown in Figure 5(a)) and are distributed in grain boundary (as shown in Figure 4(a)).This is because niobium is the element to reduce the  phase which is helpful for the formation of ferrite.In addition as a strong carbide forming element [7], NbC will precipitate first and inhibit the formation of chromium carbides.
For alloy 8 with higher carbon content and lower niobium, the microstructure is composed of fine lath martensite and dispersed carbides (NbC and Cr7C3) (as shown in

Δ𝜀-𝑁
Curves.Considering the service environment of cold rolls, load frequency and temperature have great effect on fatigue performance.In order to evaluate the fatigue life of new designed hardfacing materials (0.5% C, 3.0% Cr, and 2.0% Nb), a series of Δ- curves at high temperature were calculated compared to 9Cr2Mo.
Figure 6 gives the Δ- curves of alloy 9Cr2Mo and the optimum new alloy in different load frequency at 400 ∘ C. It can be seen that when the load frequency is 1 Hz, the fatigue    curves of the two alloys are similar, which indicates that the hardfacing material (the optimum alloy) has the same fatigue properties with the roller matrix (alloy 9Cr2Mo) at low load frequency.The stable carbides and strength matrix maybe help for the excellent fatigue properties of hardfacing material.When the load frequency is 200 Hz, fatigue behavior of the two alloys does not differ much below 100 cycles, but it differs dramatically above 10000 cycles, which illustrates that the strain capacities of the hardfacing material are not as good as the roll material in higher load frequency.The hardfacing material is more sensitive to the change of loading frequency than the roll material.
Figure 7 shows the effect of temperature on fatigue life.For 9Cr2Mo, fatigue property at 400 ∘ C is not better than that at 100 ∘ C at the load frequency of 100 Hz.It manifests temperature has a small effect on the fatigue curves of 9Cr2Mo when temperature is below 400 ∘ C.Meanwhile, fatigue curves of the optimum alloy have little change when temperature ranges from 100 ∘ C to 400 ∘ C, which illustrates that the hardfacing material has good strain capacities during high temperature.

Conclusion
New hardfacing materials with different carbon, chromium, and niobium content for cold rolls were designed by orthogonal experiments methods.The results show that the interaction between the three elements is critical for the hardness of hardfacing layer.Under the condition of certain carbon content, the increase of the Cr/Nb ratio is helpful to increase hardness.For the condition of certain chromium content, the higher carbon content and lower niobium lead to higher hardness.When the chemical composition is 0.5% C, 4.0% Cr, and 2.0% Nb, the hardness is up to 54.7 HRC.This contributed to the fine lath martensite and dispersed distributed carbides.
Δ- curves with different load frequency and temperature for 9Cr2Mo and the new designed alloy were calculated.Fatigue behavior of the optimum alloy is as good as that of 9Cr2Mo at load frequency of 1 Hz and 400 ∘ C.

Figure 1 :
Figure 1: Relationship between hardness and factors.

Table 2 :
Hardness of different samples.