# Damage and Fatigue Life Evaluation for Laser Cladding Remanufactured Wheel

Authors: Liang Hua; Run-dong Zhou
Journal: Advances in Materials Science and Engineering
 (2022)

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## Abstract

Owing to high speeds and heavy loads, the wheels of trains and locomotives undergo gradual but significant damage. Conventionally, these damaged wheels are repaired using the rotatory repair method; however, this approach results in large amounts of material waste. To address this issue, in this study, laser cladding remanufacturing technology was employed to repair a damaged wheel. The contact stress and creep characteristics of the cladded wheel were determined using Simpack, a dynamic simulation software program. The existing damage function model, which is based on the wear number, was modified, and this modified model was used to perform damage assessments for the remanufactured wheel. Furthermore, a life evaluation model for wheels remanufactured using this laser cladding technology was established. The service life of the cladded wheel calculated using this model was in good agreement with the design life of the wheel.


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## Body

## 1. Introduction

With the rapid development of China's rail transit industry, the demand for rail transit mobile equipment is currently increasing. Owing to heavy loads and high speeds, the wheels of trains and locomotives undergo wear, eventually resulting in wheel fatigue cracks, tread abrasions, and other damage. This significantly increases the maintenance workload of railway equipment enterprises. Wheels that reach their wear limit are typically subjected to high-temperature smelting; this approach, however, is energy intensive and also results in environmental pollution. Therefore, it is preferable to adopt the approach of “adding materials” in order to repair the wear of such wheels and restore their original appearance and performance for reuse. This is because, apart from curtailing pollution, this approach also reduces energy, time, and labor costs.Laser cladding technology is not only widely employed in the fields of machinery, aviation, and aerospace but also employed in biomedical applications. An example of these purposes is the increase of material properties, such as the wear resistance [1], the corrosion resistance [2], the surface hardness [3], or the toughness [4] of the materials generated, among others. Many researchers have reported beneficial attempts in terms of applying this technology in the field of rail transit, particularly for studying the microstructure [5,6], mechanical properties [7,8], residual stress [9,10], and wear and rolling contact fatigue [11–16] of laser-cladded wheels and rails. Wang et al. [17] applied laser cladding technology for repairing wheel and rail materials, focusing on evaluating the hardness and wear resistance of the specimens after laser cladding. The results of their study showed that, after laser cladding, the microhardness of the wheel and rail specimens increased significantly (by more than 40%), and the wear resistance was four times greater than that before laser cladding. Yangxi et al. [18] studied the wear problem of a high-speed train wheelset repaired via laser cladding and determined the optimal process parameters for the orthogonal test. Their study showed that the hardness and wear resistance of the cladding specimens were improved considerably. Xinpeng et al. [19] cladded cobalt-based and iron-based alloys on wheel and rail materials, respectively, and studied the microstructure, hardness, and residual stress distributions of the cladded coatings. Rolling contact fatigue tests revealed that the wear performances of both the coated specimens were improved significantly, with the cobalt-based coatings exhibiting better performance.Youzhong et al. [20] studied the feasibility of using laser cladding for the remanufacturing of EMU axles; for different cladding materials, they determined the appropriate remanufacturing process. Pressing tests on the remanufactured specimens showed that the remanufactured axles met the pressing requirements of EMU wheelsets. Furthermore, Lu et al. [14] reported significant improvements in the wear characteristics of R200 steel that was laser cladded with martensitic stainless steel powder, as compared with those of R260 steel.Thus, significant research has been devoted to the field of rail transit, serving as a reference for further studies on the key components of locomotives and vehicles remanufactured via laser cladding technology. However, most of this research is limited to the laboratory stage; thus far, none of the previous studies have directly applied laser cladding technology for repairing locomotive and vehicle wheelsets. To address this gap in literature, in this study, laser cladding was used to remanufacture a damaged wheel. Wear damage and life evaluation models for the laser-cladded wheel were established for the purposes of quantitative evaluations.


## 2. Wheel Remanufacturing via Laser Cladding

The typical damage in locomotive and vehicle wheelsets includes abrasions and peeling of the wheel treads, fatigue cracks, and cracks in the wheel rims. The main method to repair the damaged wheel is non-falling wheel rotation, which means that the wheels are milled to restore their surface shape and operating state without breaking away from the car body. Non-falling wheel rotation is a “reducing material” processing method. However, this results in significant amounts of material waste. By contrast, repairing damaged components using laser cladding technology, i.e., the “adding materials” approach, considerably reduces material waste, while also affording reductions in energy consumption and environmental pollution.In this study, laser cladding technology was used to remanufacture a wheel with scratched treads (Figure1). The wheel is milled to restore the wheel morphology after cladding. Prior to the cladding process, acetone was used to clean the scratched portions of the wheel tread, and the cladding powder (Ni60) was dried. The height of the cladding layer is 3 mm. The chemical composition of wheel material and cladding powder is shown in Table 1.Figure 1
Wheel tread abrasion.Table 1
Chemical composition of materials (mass fraction, %).
MaterialCSiBCrPVMnMoSCuNiWheel0.560.4—0.30.020.060.80.080.020.30.3Ni600.83.14.0150.09———0.81.175.11Laser cladding was performed using a fiber laser with a power of 2000 W, current (I) of 210 AA, pulse width (τ) of 3.5 ms, frequency (f) of 15 Hz, cladding scanning speed (v) of 180 mm/min, powder feeding rate of 6 g/s, laser spot diameter of 2 mm, focal length of 300 mm, and defocus amount (the distance between the laser focus and the upper surface of the work piece) of +1.5 mm. The remanufactured wheel is illustrated in Figure 2.Figure 2
Wheel remanufactured using laser cladding.


## 3. Damage Assessment for Remanufactured Wheel

The conventionally used wheel contact and abrasion damage models can be categorized as stable figure evaluation models and damage function evaluation models. However, the stability diagram evaluation model does not consider the wheel-rail contact with respect to creepage. As contact fatigue influences the wear, the precision of this model is relatively low. Therefore, this study employed the damage function evaluation model to evaluate wheel damage based on the wear number.The damage function evaluation model considers the relationship between the wear and contact fatigue damage and also the influence of the creep force and creepage on the wheel rolling contact fatigue damage. The sum of the wear and fatigue damage represents the damage caused during a single wheel rotation. The wear number is calculated as follows [21]:(1)Tγ=Txγx+Tyγy,where T and γ represent the creep force and creepage, respectively; these can be calculated using Simpack, a dynamic simulation software program for vehicles. The longitudinal and lateral expressions are denoted as x and y, respectively.The curve for the wheel’s rolling contact fatigue damage function is presented in Figure3.Figure 3
Damage function for rolling contact fatigue of the wheel [6].Based on previous research results, the crack initiation value for the damage function is proportional to the shear yield strength of the material [17]. In this study, the shear yield strength of the cladding material for the remanufactured wheel was approximately 473 MPa, whereas the shear yield strength of the steel used in the wheel was 300 MPa. Based on the proportional relationship, the crack initiation value for the cladded wheel was determined to be 32 N.As the fatigue crack propagation rate directly affects the fatigue life of the component, the crack velocity parameter in the damage function can be modified according to the fatigue ratio of the matrix of the cladding component. Based on the ratio of the substrate life to the cladding life [22], the crack velocity of the remanufactured wheel was determined to be 5.6 × 10−4 r/N.Gongquan reported an approximate linear relationship between the wear coefficient in the damage function and the hardness of mechanical components [21]. The average hardness of the steel used in the wheel was approximately 280 HV, whereas the microhardness of the cladding layer of the remanufactured wheel in this study was approximately 800 HV. Based on the linear relationship between hardness and the wear number, the initial wear of the laser-cladded wheel was 285 N, with a wear speed of −1.9 × 10−6 r/N.The damage function parameters for the matrix and the remanufactured wheel are listed in Table2.Table 2
Parameters of the wheel’s rolling contact fatigue damage function.
Damage function parametersValues for matrix wheelValues for remanufactured wheelCrack initiation value (N)2032Crack speed (r/N)2.6 × 10−65.6 × 10−4The starting value of wear (N)100285Wear rate (r/N)−5.4 × 10−6−1.9 × 10−6The number of abrasions in the remanufactured wheelset was calculated based on the revised damage function parameters for the remanufactured wheel. Subsequently, the compound damage per rolling cycle of the cladded wheel was determined. The complete life cycle for the total damage to the cladded wheel was calculated using Simpack, based on the creepage and the cross and longitudinal creep forces of the cladded wheel.The wheel-rail module in Simpack, which exhibits high simulation accuracy and efficiency, has been verified through a large number of railway vehicle tests. It is the standard development tool for the dynamic simulations of railway vehicle systems utilized worldwide. In the simulation, CRH2 EMU was identified as the research object to establish the dynamic model, where the tread of the cladded wheel was the LMA tread, the rail was the CN60 rail, and the inner distance of the wheelset was 1353 mm. During modeling, theX, Y, and Z axes were defined as the forward direction of the EMU, the direction parallel to the right side of the track plane, and the direction perpendicular to the track plane below, respectively. The coordinate system is illustrated in Figure 4. The EMU body, frame (2), traction rod (2), and wheelset (4) were all assigned six degrees of freedom (longitudinal, transverse, vertical, side roll, nodding, and shaking head). The entire dynamic model of the EMU system featured 62 degrees of freedom.Figure 4
Dynamic model for simulation.Wheel wear and fatigue are mainly caused by frequently passing over curved sections. Therefore, this study focused on the dynamic performance of the research object when passing over a curved section. Measured track irregularity of Beijing-Tianjin line is used as the track excitation. The MU train speed was set as 200 km/h, and the wheel diameter was 860 mm. A right curve was adopted, and the simulation time was 20 s, as listed in Table3.Table 3
Line conditions for the simulation [22].
Line conditionsValueLength of straight line (m)200Length of easing curve (m)320Length of circular curve (m)120Curve radius (m)2000Elevation of outer rail (m)0.126The curves for the vertical and horizontal creep forces and the creepage, obtained via simulation, are presented in Figures5–8 (inner wheel of wheelset 1).Figure 5
Longitudinal creep force of the wheel.Figure 6
Lateral creep force of the wheel.Figure 7
Longitudinal creepage of the wheel.Figure 8
Lateral creepage of the wheel.Field observation shows that the longitudinal creep force of the wheel on one side of the inner rail is opposite to the direction of the vehicle when the vehicle curve passes, and the cracks on the surface of the wheel on the inner rail side and the surface of the outer rail are easier to propagate. Therefore, the wheel-rail damage is only calculated when the longitudinal creep force is opposite to the direction of the vehicle.Based on (1), the average wear number of the cladded wheel was calculated as 364 N. According to the damage function shown in Figure 3 and the parameters listed in Table 2, the damage (Dw) caused by laser cladding remanufacturing of the wheel after passing through a given circuit can be calculated according to the following formula:(2)Dw=364−32×5.6×10−4−364−285×1.9×10−6×1203.1440.86=8.27×10−3.


## 4. Life Assessment for Remanufactured Wheel

Chaboche and Lesne proposed the following relationship between damage and fatigue life under uniaxial fatigue [23]:(3)dD=1−1−Dβ+1ασaM01−bσm1−DβdN,where D is the damage variable; N is the fatigue life; σa is the stress amplitude; σm is the average stress; β, M0, and b are parameters determined based on the material properties; and α is a parameter jointly determined by the damage and load, as expressed in the following equation [24,25]:(4)α=1−1Hσmax−σRσb−σmaxa.Here, ifx>0, then x=x; if x≤0, then x=0. Smax denotes the maximum stress, σR denotes the fatigue limit of the material under the corresponding stress ratio R, sb denotes the strength limit of the material, and H and a are both experimental constants. Dattoma et al. [24, 25] suggested that for metals, H  = 0.0801 and a  = 0.434.Previous studies have shown that both the residual tensile stress and the crack closure effect [26] can have a significant impact on the fatigue life of mechanical products. Considering the effects of the residual tensile stress and the crack closure effect when evaluating the damage to the laser cladding can help improve the accuracy of the damage model. Thus, (3) was modified as follows:(5)dDcξ=1−1−ξDcβ+1αcσaM01−bσm0+σrmax1−ξDcβdN,where dDcξ is the damage when considering the crack closure effect and ξ is the effective factor of crack closure. The average stress was modified as [27](6)σm=σm0+σrmax,where σm0 is the average stress when the residual tensile stress is neglected.The effective crack closure factor corresponding to different stress ratios was calculated as follows [28]:(7)ξ=0.75+0.3R+0.15R2−1≤R≤1.If the initial damage to the cladded wheel isDct, then 0<Dct<1, and the life of the cladded wheel (i.e., until it fails) is Nf. In this case Dcξ=1 and Dcξ∈Dct,1. The fatigue life of the remanufactured wheel was obtained by integrating equation (5) over the interval, as shown in the following equation:(8)Nf=1ξ11−αc11+βM01−bσm0+σrmaxσaβ1−1−ξβ+11−αc−1−1−Dct1+β1−αc,where the values of the material constants are as follows [22]: β  = 5.003, M0  = 3985.423, and b  = 0.001.The stress ratio (R) was assumed to be −1; furthermore, the wheel underwent no damage, the wheel-rail contact spot area was 100 mm2, and the length of the line with a small curve radius was 1% of the total length of the line. By considering the contact fatigue damage (calculated using (2)) as the initial damage to the remanufactured wheel and substituting it in (8), under the test conditions in this study, the operating mileage of the remanufactured wheel was approximately 1.64 million km; this is slightly lower than the service life of wheels (2 million km). This difference can be mainly attributed to two factors. First, the curve radius used in the simulation was harsh. The curve radii of actual lines are considerably larger than those considered in the simulation; hence, the remanufactured wheel is likely to undergo less damage on actual lines. As a result, the mileage would be closer to the design life of the wheel. Second, as certain parameters in the calculation model are significantly affected by the conditions of the laser cladding process, the lives of remanufactured wheels prepared under different process parameters would also be different.


## 5. Conclusion

In this study, laser cladding technology was used to repair a damaged wheel with tread abrasions. Combined with analyses of the vehicle dynamics, the existing damage evaluation model for railway wheels was modified. Using CRH2 EMU wheels as the research object, damage and life evaluation models for wheels remanufactured through the laser cladding process were established. The calculated results of the evaluation model met the requirements of wheel design, thus providing a new idea for the application and maintenance of railway wheels. This study is expected to promote the development of railway-related industries to a certain extent and also enable beneficial supplements in terms of improving the theoretical systems of remanufacturing engineering; this has evident scientific significance and engineering application value.Owing to the diversity in models and wheel materials, the direct remanufacturing of damaged wheels using laser cladding technology is challenging, particularly given the strict requirements of the process. During the process of cladding and remanufacturing, protective measures should be implemented to ensure that the cladding layer and the heat-affected zone do not develop cracks or other defects that could affect the quality of remanufacturing, which, in turn, would affect the structure and mechanical properties of the remanufactured products. Laser cladding remanufacturing involves many aspects, such as metal technology, thermodynamics, elastoplastic mechanics, tribology, production technology, and processing equipment, all of which warrant further study.



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*Source: 2060564-2022-03-03.xml*