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1 WORK HARDENING RESPONSE OF CASE HARDENED M50NIL STEEL INDUCED BY ROLLING CONTACT FATIGUE By MYONG HWA LEE A THESIS PRESENTED TO THE GRADUATE SCHOOL OF THE UNIVERSITY OF FLORIDA IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF SCIENCE UNIVERSITY OF FLORIDA 2012

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WORK HARDENING RESPONSE OF CASE HARDENED M50NIL STEEL INDUCED BY ROLLING CONTACT FATIGUE

By

MYONG HWA LEE

A THESIS PRESENTED TO THE GRADUATE SCHOOL OF THE UNIVERSITY OF FLORIDA IN PARTIAL FULFILLMENT

OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF SCIENCE

UNIVERSITY OF FLORIDA

2012

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© 2012 Myong Hwa Lee

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To my family and friends

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ACKNOWLEDGMENTS

First of all, I would like to greatly appreciate my adviser, Dr. Nagaraj K. Arakere

and co-adviser, Dr. Ghatu subhash for all of their strong support and guidance.

Particularly, I appreciate their patient and belief while I was exploring and challenging

the several different concepts and skills for my research. I also would like to thank my

committee member, Dr. Peter G. Ifju for his permission and guidance. In addition, I

would like to acknowledge Dr. Laurie Gower for her generosity and help growing me up

as a research beginner during my previous work.

I also would like to thank my family and my fiancé, Jun Aoyagi, for their best

support and endless love. They have always been on my side and encourage me to

finish this work.

I should mention the great help and motivation from my mentor, Chuljun Park.

Much of this work has been performed by lively discussion with him. Also, thank you for

all the helpful ideas and discussion with my lab mates Nathan Branch, Shawn English,

and Anup Pankar. To my emotional anchor, all friends of mine and my roommate,

Young Mee Yoon, I greatly appreciate.

This work would not have been possible without the Major Analytical

Instrumentation Center (MAIC) facilitating me to use their various equipments. I would

like to acknowledge the help of Dr. Kerry Siebein and Kyeong-Won Kim as teachers.

Without their help, this would not have been completed.

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TABLE OF CONTENTS page

ACKNOWLEDGMENTS .................................................................................................. 4

LIST OF TABLES ............................................................................................................ 7

LIST OF FIGURES .......................................................................................................... 8

LIST OF ABBREVIATIONS ........................................................................................... 10

ABSTRACT ................................................................................................................... 11

CHAPTER

1 INTRODUCTION .................................................................................................... 12

2 CHARACTERISTICS OF CASE HARDENED BEARING STEEL ........................... 15

Materials and Methods............................................................................................ 18 Sample preparation .......................................................................................... 18 X-Ray Diffraction (XRD) Analysis ..................................................................... 18 Etching Characteristics .................................................................................... 19 Vickers Hardness Test .................................................................................... 19 Scanning Electron Microscopy (SEM) Analysis ................................................ 19

Results and Discussion........................................................................................... 20 Effect of the Carbon Gradient of Case-Hardened M50NiL on Microstructure .. 20 Effect of the Carbon Gradient of Case-Hardened M50NiL on Mechanical

Property (Hardness) ..................................................................................... 24 Summary ................................................................................................................ 25

3 WORK HARDENING RESPONSE OF CASE HARDENED M50NIL STEEL INDUCED BY ROLLING CONTACT FATIGUE ..................................................... 41

Materials and Methods............................................................................................ 43 Sample preparation .......................................................................................... 43 X-Ray Diffraction (XRD) Analysis ..................................................................... 44 Etching Characteristics .................................................................................... 44 Vickers Hardness Test .................................................................................... 44 Scanning Electron Microscopy (SEM) Analysis ................................................ 44 Transmission Electron Microscopy (TEM) Analysis .......................................... 45

Results and Discussion........................................................................................... 45 Analysis of the Initial Cyclic Work-Hardening Response of M50NiL ................. 45 Analysis of Cyclic Work-Hardening Response of M50NiL on Shake-Down

Stage ............................................................................................................ 47 Summary ................................................................................................................ 53

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4 CONCLUSION ........................................................................................................ 69

LIST OF REFERENCES ............................................................................................... 72

BIOGRAPHICAL SKETCH ............................................................................................ 75

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LIST OF TABLES

Table page 2-1 Chemical composition of M50 and M50NiL steels. ............................................. 28

3-1 RCF testing time and the corresponding number of revolutions in accordance with ASTM standard (ASTM STP 771) for elastic shake-down .......................... 56

3-2 RCF testing time and the corresponding number of revolutions in accordance with ASTM standard (ASTM STP 771) for plastic shake down. .......................... 57

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LIST OF FIGURES

Figure page 2-1 Characteristics of M50 steel in terms of undissolved carbides and hardness

during tempering. ................................................................................................ 29

2-2 Characteristics of the case of M50NiL plate as a function of depth: Vicker‟s hardness, residual stress, half-value-breadth, and retained austenite ................ 30

2-3 Experimental preparation method for M50NiL specimen .................................... 31

2-4 XRD analysis of the radial cross-section of M50NiL performed by Cu-Kα radiation .............................................................................................................. 32

2-5 Light optical micrographs of the etched M50NiL surfaces by nital etching ......... 33

2-6 The SEM micrographs of the surface of the radial cross section of M50NiL taken at a depth of 100μm and 200-250μm ........................................................ 34

2-7 The SEM micrographs of the morphology of martensite: lath martensite of the as-quenched ASTM A514 steel and plate martensite of AISI/SAE 1095 steel. .. 35

2-8 The SEM micrographs of Cronidur 30 showing the transformation from retained austenite to martensite at the depth of the maximum equivalent stress showing lamellar shape of etching response ........................................... 36

2-9 The SEM micrographs of the surface in the case of M50NiL lightly re-polished after etching ......................................................................................... 37

2-10 The SEM micrograph of M50NiL at a depth of 100 microns from the surface taken by BSE mode ............................................................................................ 38

2-11 The SEM micrographs of the radial cross section of M50NiL taken by the interaction with backscattered electrons and the corresponding result of EDS analysis. ............................................................................................................. 39

2-12 Micro-hardness test on the radial cross-section of M50NiL plotted as a function of depth ................................................................................................. 40

3-1 Schematic illustration of the stages of a material‟s evolution by RCF cycles: shake-down, steady-state response, and instability ........................................... 58

3-2 Images of surface initiated spall and subsurface initiated spall .......................... 59

3-3 Experimental preparation method for RCF test specimens ................................ 60

3-4 A micro-hardness test of M50NiL after exposure to a small numver of RCF cycles ................................................................................................................. 61

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3-5 Light optical micrographs of the etched surfaces of RCF exposed M50NiL ....... 62

3-6 A micro-hardness test on the radial cross section of M50NiL exposed to millions of cycles of RCF to develop cyclic strain hardening in the shake down stage ......................................................................................................... 63

3-7 A micro-hardness test on the longitudinal cross section of virgin and RCF exposed M50NiL specimens to determine cyclic strain hardening in the shake down stage after 246 million cycles ......................................................... 64

3-8 Comparison of SEM micrographs between virgin and a RCF exposed specimen with 246 million revolutions at three different depths of 100 microns, 250 microns, and 500 microns............................................................................ 65

3-9 TEM micrographs of RCF exposed specimen taken at a depth of 100 microns. .............................................................................................................. 66

3-10 TEM micrographs of RCF exposed specimen taken at a depth of 100 microns ............................................................................................................... 67

3-11 The SEM micrographs of the comparison of the carbide distribution and population between the virgin and RCF exposed specimen with 246 million revolutions at a depth of 100 microns and the EDS analysis on the indicated areas on RCF exposed specimen with 246million revolutions ........................... 68

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LIST OF ABBREVIATIONS

ASTM American Society of Testing Materials

BCC Body Centered Cubic

BF Bright Field

BSE Back-Scattered Electron

EDS Electron Diffraction Spectroscopy

EHD Elastohydrodynamic

EHL Elastohydrodynamic Lubrication

FIB Focused Ion Beam

HCP Hexagonal Close Packed

LOM Light Optical Microscopy

RCF Rolling Contact Fatigue

SAED Selected Area Electron Diffraction

SEM Scanning Electron Microscopy

TEM Transmission Electron Microscopy

VIMVAR Vacuum Induction Melting-Vacuum Arc Remelting Method

XRD X-ray diffraction

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Abstract of Thesis Presented to the Graduate School of the University of Florida in Partial Fulfillment of the Requirements for the Degree of Master of Science

WORK HARDENING RESPONSE OF CASE HARDENED M50NIL STEEL INDUCED

BY ROLLING CONTACT FATIGUE

By

Myong Hwa Lee

May 2012

Chair: Nagaraj K. Arakere Cochair: Ghatu Subhash Major: Mechanical Engineering This study focused on investigation of the fundamental characteristics of M50NiL

and its responses to Rolling Contact Fatigue (RCF). The carbon gradient caused by

carburizing leads a microstructural and hardness variation as a function of depth in the

case. In addition, M50NiL tool steels contain a fine dispersion of MxCy, carbides in

tempered martensite structure. Under a laboratory-based experimental system, the

material‟s response to RCF was investigated in the shake down stage, namely cyclic

work hardening stage. The hardness increased up to 1GPa near the surface with the

maximum increment, and gradually decreased as a function of depth, finally merging

with the virgin hardness plot at the depth of about 300microns. The plastically deformed

area was determined by nital etching. The increased hardness is a consequence of

cyclic hardening and cyclic strain accumulation in the RCF affected region. This study

will provide insight into cyclic hardening of M50NiL due to RCF

.

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CHAPTER 1 INTRODUCTION

A rolling bearing uses rolling elements between two moving parts, which allow a

rotational motion while supporting a load [1]. They are composed of an inner ring,

separator, rolling elements, and outer ring [2].

According to the rolling bearing industry statics [3], the industry of rolling bearings

is a 20 billion U.S dollar global business, and 500 bearings are approximately

manufactured per second. As important machinery parts, 37 different bearing steels

were specified by ASTM international in 2002. The bearing technology has been more

complicated, and the ability of the bearing is emphasized to tolerate extreme service

environments over recent years. Most research in the bearing industry has been

focused on performance and reliability. However, it is difficult to precisely predict the

specific fatigue life of an individual bearing since the life of rolling element bearings is

various, depending on quality of materials and surface finishing, rolling speed, applied

load, lubricant, temperature, contaminants, and design concept [4, 5].

This study focused on investigation of the fundamental characteristics of M50NiL

and its responses to RCF in order to predict a more precise estimation of the life and

prevent a sudden unexpected fracture.

Chapter 2 contains fundamentals of M50NiL steel as a utilized material that may

potentially be applied to aerospace bearings. Case-hardened M50NiL has an

inhomogeneous microstructure as a function of depth from the surface. The carbon

gradient caused by carburizing also leads a hardness variation in the case. It shows

enhanced bearing life due to strong resistance to the surface wear and tough core with

a high degree of ductility. In addition, M50NiL tool steels contain a fine dispersion of

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molybdenum-rich M2C, vanadium-rich MC, and possibly chromium-rich M6C carbides; in

addition, the amount of retained austenite is minimized by transformation to martensite

[6, 7]. These characteristics allow M50NiL to perform at a high temperature without

structural instability. Therefore, the work presented in chapter 2 investigates the

influence of the carbon gradient on the properties of M50NiL, including etching and

hardness responses. At a higher magnification, the details of microstructure are also

studied via X-ray diffraction analysis, and Scanning Electron Microscopy (SEM). This

investigation will be used to determine the association between the properties of the

material and its plastic responses to RCF.

A ball bearing undergoes significant microstructural changes during its operation,

eventually leading to failure. Failure of ball bearing is mainly caused by fatigue when the

bearing is ideally loaded, installed, and lubricated [1]. The process of material

degradation in rolling bearings is comprised of three-stages: shake-down or running-in

wear, steady-state operation, and instability with accelerated rolling contact fatigue. In

the initial shake-down stage, the material experiences work hardening by cyclic stress.

In addition, transformation of retained austenite into martensite occurs with

development of residual stress and plastic strain [8]. This stage continues until the load

exposed volume is fully modified by micro-straining, allowing the next stage bears

elastic-cyclic loading. The amplitude of the resulting cyclic strain decreases as a

function of the depth from the running surface [9]. In the second incubation stage, a

large elastic response continues until its threshold limit. Finally, in the last stage, the

material is softened, accelerating RCF [10]. In this chapter, investigation of the RCF

response of M50NiL was begun at the shake-down stage: cyclic hardening and the

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saturation limit of the plastic deformation. Work-hardened M50NiL was characterized by

its etching response, high magnification micrographs taken by SEM and TEM, and a

micro-hardness test. The hardness test performed in this chapter is expected to show

unique plastic flow induced by the RCF of cyclic loadings and the strain-induced

microstructural changes based on our previous study utilizing the new reverse analysis

of case hardened M50NiL bearing steels [11]. The characterization of the RCF

response of M50NiL is detailed in Chapter 3.

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CHAPTER 2 CHARACTERISTICS OF CASE HARDENED BEARING STEEL

Over recent years, most machines have been growing more complex while

decreasing in size. In addition, they require the ability to tolerate extreme service

environments [3]. Due to the importance of rolling bearings in machinery, methods to

enhance their performance and reliability have been investigated. As mentioned in the

previous chapter, bearing technology is highly complicated due to the various factors

influencing service life (e.g., quality of materials and surface finishing, rolling speed,

applied load, lubricant, temperature, contaminants, and design concept) [4]. Therefore,

a major research focus of bearing technology is how these variables affect bearing life

and how they can enhance performance and reliability. However, before evaluating the

effectiveness and efficiency of these factors, it is also important to investigate the

fundamental characteristics of the applicable materials and their responses to rolling

contact fatigue (RCF) from the initial to failure. If the relationship between a specific

material‟s characteristics and its distinctive reactions through the fatigue life can be

defined, it may allow for a more precise estimation of the life and prevent a sudden

unexpected fracture.

In order to define this relationship, the present study has utilized materials that

may potentially be applied to aerospace bearings. In early aerospace applications,

which operated at moderate speed and temperature, AISI 52100 was the predominant

material used even though periodic replacement was required to prevent a catastrophic

failure [12]. However, as the technology has progressed, the bearings have been

exposed to more demanding operating conditions. Therefore, the materials are required

to bear higher temperatures and speeds as well as have a higher resistance to

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indentation and corrosion. AISI 52100 is not suitable for use under those extreme

conditions due to its structural instability at high temperatures, which is caused by fine-

scale meta-stable ε-carbides and the decomposition of large amounts of retained

austenite to martensite. Due to theses requirements, molybdenum-based through

hardened M50 steels were introduced, and are called secondary hardening steels.

„Secondary hardening‟ refers to a multi-step tempering process which allows M50 tool

steels to contain a fine dispersion of molybdenum-rich M2C, vanadium-rich MC, and

possibly chromium-rich M6C carbides; in addition, the amount of retained austenite is

minimized by transformation to martensite [6, 7] as shown in Figure 2-1. An excess of

retained austenite in a structure lowers its strength, causing reduced hardness, wear

resistance, and fatigue resistance. Also, transformation from martensite to austenite

after quenching reduces the compressive residual surface stress. Finally, the

decomposition of retained austenite causes structural instability, and can be induced in

the service period [13]. Therefore, the amount of retained austenite should be

minimized.

Due to secondary hardening, M50 can maintain its hardness and strength at high

temperatures even after a repeated tempering process. However, M50 has encountered

the severe problem of sudden ring fracture resulting from high tensile hoop stress due

to tight shaft fit and centrifugal forces [14]. This problem is mainly caused by the

characteristics of through-hardened steels: in addition to limited ductility and fracture

toughness, the presence of relatively large size of solute serve as a potential site for

chemical segregation [15]. Therefore, there was need for a material with similar surface

fatigue characteristics as M50, but with greater ductility and a tougher. Since then,

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case-hardened M50NiL has been developed for better performance and reliability [16,

17].

As seen in Table 2-1, the chemical compositions of M50 and M50NiL are similar.

The suffix „NiL‟ in M50NiL represents a greater nickel content and reduced carbon

inclusion [18]. The added nickel enhances cleavage resistance, while the lower carbon

composition limits the formation of primary carbides, which leads to improved core

fracture toughness and ductility. Similar to M50 steel, the hot hardness of M50NiL is

guaranteed by secondary hardening, along with the presence of MxCy carbides (where

M is Mo, V, Cr, or Fe). However, unlike the slightly tensile residual stress present at the

surface in M50, M50NiL has a residual compressive stress induced by case-hardening.

Residual compressive stress is required for better rolling contact fatigue life as

previously explained. The general characteristics of a case-layer of M50NiL are shown

in Figure 2-2 in terms of residual stress, Vickers hardness, half-value-breadth, and the

amount of retained austenite. The hardness and half-value-breadth is greatest at the

surface and gradually decreases with depth. The compressive residual stress is a

maximum at the subsurface; however, the trend is similar. The slope of retained

austenite is little changed due to the minimized amounts. Based on the resultant

characteristics, it can be assumed that the grain size and compressive residual stress

induce the hardness increase, and the carbon or carbide gradient plays an important

role in determining the characteristics of M50NiL. Therefore, the work presented in this

chapter focuses on how the carbon gradient affects the properties of M50NiL, including

etching and hardness responses, which will be later used to determine the association

between the properties of the raw material and its plastic responses to RCF.

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Even though this study emphasizes the role of M50NiL, there are many useful

materials currently employed in aerospace bearing applications. The physical and

mechanical properties of both contemporary and new alloys for aerospace applications

have been thoroughly reviewed in terms of hot hardness, recovery hardness, fracture

toughness, corrosion resistance, abrasive wear resistance, and structural fatigue

strength [19].

Materials and Methods

Sample Preparation

A commercial grade case-hardened M50NiL rod (Diameter: 9.525mm) was

employed with a chemical composition defined in Table 2-1. To ensure consistency, an

identical case-hardened rod was also prepared to study the plastic deformation of

M50NiL induced by RCF, which will be discussed in the next chapter. The rod was

sectioned into small cylinders and was further cut in half to reveal the radial and

longitudinal cross-sections (Figure 2-3). Each cross-section was then mechanically

polished following a standard metallographic polishing procedure until a smooth surface

was obtained.

X-Ray Diffraction (XRD) Analysis

The crystal structure of M50NiL was determined by X-ray analysis (Philips APD

3720). The radial cross section of the sample was placed on a glass slide and fixed with

double-sided scotch tape. Cu-Kα radiation (wave length: 1.54Å ) was used at 40KV and

20mA in the 2 theta ranging from 35º to 120º. Step size was 0.02 and time per step was

0.2 seconds.

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Etching Characteristics

The carbide gradient and surface characteristics were established by natal

etching. A commercially available nital etchant (3% nitric acid in methanol) was used.

The surface of the specimen was swabbed with the etchant for 45 seconds, then

washed with excess water. The specimen was then treated with ethanol and air-dried.

The resulting etched surface was probed by Light Optical Microscopy (LOM) and

Scanning Electron Microscopy (SEM).

Vickers Hardness Test

The carbide distribution and gradient of M50NiL was measured perpendicularly

from surface to the core via Vickers micro-hardness testing system (Wilson®

Instruments, Tukon™ 2100B). A standard Vickers indenter with a 100g load was applied

to the polished surface and fixed for 11 seconds. The spacing between indents was

maintained at 75µm to minimize the interaction between neighboring indents, followed

by ASTM E-384. The measured hardness was plotted with respect to the depth from the

contact surface.

Scanning Electron Microscopy (SEM) Analysis

The surface etched by nital etchant was placed on a carbon stub for SEM (JEOL

6335F FEG-SEM) to investigate the detailed surface topography as well as

compositional differences at a higher magnification. The SEM system uses a Field

Emission Gun as the electron source. During operation, voltage for SEM was

maintained at 15kV. The composition of carbides was also probed by Electron

Diffraction Spectroscopy (EDS).

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Results and Discussion

M50NiL is a case-hardened steel developed to alleviate the limitations of M50

steel. It is composed of a tempered martensite matrix, with finely dispersed carbides

near the surface and minimal retained austenite. X-ray analysis confirms the body-

centered cubic structure of tempered-martensite (a mixture of α-ferrite and carbides)

and the characteristic peaks are matched with JCPDF # 35-1375, as shown in Figure 2-

4. These data were compared to the preliminary resulst of our x-ray analysis of M50

steel. We found that M50 steel has the same crystal structure and characteristic peaks,

with spectrum shifting present due to misaligned sample loading. Therefore, it can be

assumed that the two materials have similar base crystal structures regardless of their

manufacturing process; however, the effects of the carbides should not be overlooked.

Effect of the Carbon Gradient of Case-Hardened M50NiL on Microstructure

Case-hardened steel has an inhomogeneous microstructure with variation

observed as a function of depth from the surface, which directly dependent on the

carbon gradient through the case. Since the carbon content is greatest at the surface

and decreases with depth, the microstructure also gradually shifts from high-carbon

martensite to low-carbon martensite [13]. As shown in Figure 2-5, the etched surfaces

of both radial and longitudinal cross-sections clearly depict the characteristic gradation

of the etching response. Since nital etchant is an effective means to observe both

martensite structure and carbides, it is often used to investigate the detailed

microstructure of steels. The increased microstructure boundaries and carbide

population mainly caused by the higher carbon content generate more reaction sites,

which are a darker color as they approach the surface. Both radial and longitudinal

sections show a similar trend.

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Details are shown at a higher magnification via SEM in Figure 2-6. In order to

investigate topographical features, micrographs were taken at a depth of 100 microns

and 200-250 microns. As mentioned above, carburized steel has a gradational

microstructural transition from high carbon martensite to low carbon martensite.

According to the literature [20], lath martensite is formed at low to medium carbon

content under 0.6%C, while plate martensite is developed at carbon concentrations

greater than 1.0%C (Figure 2-7). The structure of plate martensite consists of a zig-zag

array of black colored needle-like structures enclosed by retained austenite of a lighter

color. Mixed martensite appears at concentrations between 0.6 and 1.0%C.

Commercially available M50NiL has a 0.8%C content at the surface case layer, so lath

and plate martensite may coexist. However, due to tempering, those martensite

structures undergo partial decomposition to ferritic matrix and carbides, as indicated by

X-ray analysis. Distinct features, listed in Figure 2-6, may not be apparent. However,

due to the transformation of retained austenite to untempered martensite, short-scaled

needlelike morphologies may be observed at some locations. The retained austenite

directly depends on the carbon content, so greater transformation occurs near the

surface. Figure 2-8 provides a description of the concurrent topographical changes that

occur during the the martensitic transformation of Cronidur 30 when induced by applied

loading at the depth of maximum stress [21]. When comparing the micrographs taken

from different locations at 100 and 250 microns from the surface, the most distinctive

difference is the length of the martensite. The longer needle or the packet (lath) of

martensite is observed at the greater depth. Martensite is transformed from austenite

via a diffusionless process, so the size of the martensite is determined by the former

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grain size of austenite, which is dependent on the depth from the surface. The austenite

at the surface has a much finer structure than at the core; therefore, the size of the

martensite becomes coarser as a function of depth [13, 22]. Finally, the carbides are

mainly precipitated at the grain or phase boundaries. The overall size of the carbides is

very fine (less than 1μm), and smaller carbides are located nearer to the surface. In

addition, the micrograph of the specimen, which is lightly polished after the nital etching,

shows carbides observed at the boundaries or in the martensite plate (Figure 2-9). The

topographical and compositional images are both provided for comparison. The

carbides formed from austenitic origin are precipitated at the grain boundary, while

supersaturated carbon stored within the plate are precipitated as a fine dispersion

during tempering [23]. As shown in the micrograph taken by Back-Scattered Electron

(BSE) interaction, M50NiL has a various kind of carbides, which are distinguished by

contrast. It can be assumed that the carbides are composed of M2C and MC carbides

as well as small primary carbides. According to the literature [24], the mostly found

carbides are either VC or V7C8 carbide, and the next frequently observed ones are

either Mo2C or MoC based on the x-ray diffraction analysis on the extracted carbides

from M50NiL. In order to confirm the details of the composition and morphology, the

surface was investigated by using Back-Scattered Electron (BSE) in a FE-SEM system.

BSE mode shows a compositional difference, which is dependent on atomic number.

Based on this knowledge, it can be assumed that the small shiny carbide is caused by

strong interaction of molybdenum with electrons with its higher atomic number, while the

darker one is composed of vanadium due to its lower atomic number. However, the

needle-like martensite obscures the clear observation of the details (Figure 2-10).

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In order to reveal the carbide morphology and distribution without disturbance, the

specimen was re-polished to remove any martensite structures (Figure 2-11). A

micrograph was taken at a depth of 150 microns from the surface, as shown in the first

picture, where the small square is the area exposed by the electron beam. Based on the

micrograph on the left, it is presumed that the black area is a vanadium-based carbide

due to its lower atomic number, while white area is a molybdenum-based carbide due to

its strong interaction caused by a higher atomic mass. In order to confirm the

composition of the carbides, an EDS study was performed on the four different

representative spots. The first probe of the tiny black one (A) showed no distinction

between the peaks of alloying elements, with the exception of a 3-fold greater intensity

of the iron peak. It may be assumed that the spot may be formed by either carbide

detachments from the surface, caused by the mechanical polishing, or may be primary

carbides. However, this elemental analysis is limited to confirming the primary carbide.

As previously mentioned, the shiny particle (B) was determined to be a molybdenum-

rich carbide based on the exceptionally high intensity of the Mo-peak on the spectrum.

The third spot at (C) is the base structure of the M50NiL, and shows a strong iron peak.

The black large particle (D) showed the intense vanadium peak as well as evidence of

molybdenum and chromium. Since the elements are mutually inter-soluble, the particle

can be considered V-rich carbide. Our previous EDS analysis study on M50 steel also

supported that most carbides which are similar to, but much larger than, that spot are

mainly composed of vanadium. Therefore, it can be accepted that the two peaks came

from neighboring particles or the base structure. The result attained can be explained by

the size of the electron beam. Moreover, due to this effect, dim white spots located just

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below the surface appear to be on the surface. Interestingly, it has been reported that

MC carbide is a multi-component system partitioned by V, Nb, and Mo in V- and Nb-

bearing Cr-Mo steels [25]. However, in that case, the presence of niobium hindered the

formation of M2C carbide, and promoted MC carbide.

To summarize the results, very fine-sized carbides are dispersed sporadically in

the tempered martensite matrix. The carbides are mainly composed of alloying

elements such as V, Mo, and Cr forming metallic carbides. Based on the electron

diffraction analysis, the carbides were confirmed to be Mo- and V-rich ones in

accordance with the literature [24]. However, the possible presence of the primary

carbides cannot be ignored.

Effect of the Carbon Gradient on a Mechanical Property (Hardness)

Carburizing is a manufacturing process which dissolves the carbon in the surface

layers of low-carbon steel through heat treatment, and includes austenizing, quenching,

and tempering [13]. Since the surface carburized layers are rendered by carbon

diffusion, the depth of the carbon gradation created below the surface is dependent on

temperature, exposure time, carbon supply, and alloying elements. Due to this carbon

gradient, the hardness also varies from a strong and hard surface to a soft and ductile

core. Since a hardness test is a method of measuring the resistance of a material to

localized deformation, it is sensitive to the presence and population of carbides in the

matrix. The numerical hardness value decreases as a function of depth, and merges

with the core hardness at the boundary between the carbon diffused and unaffected

area. Therefore, the carburizing depth and gradient, which plays a critical role on

bearing performance, can be easily detected via a hardness test. The results of the

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Vicker‟s hardness test on two specimens are plotted in Figure 2-12. Vicker‟s hardness

test, also known as a microhardness test, is based on the indentation produced by a

diamond indenter and converted to hardness. The test was used because it requires a

small specimen size and accurately recognizes case-hardening depth and its variation

through a hardness profile obtained by a series of indentations. One specimen,

designated with a square, was exposed to longer carburizing time than the second.

Both specimens showed a similar hardness value at the surface (7.3 GPa) and at the

diffusion boundary (4.5 GPa) regardless of the difference in carburizing time. Also, both

cases showed a gradual decrease in hardness as the distance from the surface

increased. However, the depth where hardness reached the constant core value was

different between specimens. The specimen exposed for a longer time showed a

deeper carburized layer, with a 750 micron difference, as well as a shallow slope

decrease. Due to the nature of the diffusion process, as exposure time increases a

greater amount of carbons can travel further from the surface. However, the depth of

the carburized case did not increase linearly with exposure time showing that complex

relationships among the variables determining the depth of the case (Figure 2-12).

Despite a longer exposure time, a similar hardness value was observed at the surface

of both specimens. This may be explained by the solubility limit of the steel. Since the

amount of austenite depends on the carbon concentration, the relatively soft retained

austenite may be increased, reducing surface hardness.

Summary

This chapter is intended to investigate the fundamentals of M50NiL steel, which

will be useful in interpreting its RCF responses. Through the process of case hardening

(carburizing), M50NiL develops its characteristic case layer near the surface. Due to the

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carbon gradient this creates, the microstructure varies as a function of depth from the

surface, causing an inhomogeneous structure. This phenomena leads a hardness

variation it the case. LOM confirmed the carbide gradient as a color gradation

represented by a nital etching response.

The overall crystal structure of the steel was confirmed by X-ray analysis to be

tempered martensite, which is the result of partial decomposition from martensite to

ferritic matrix and carbides. The characteristic features of martensite, as well as the

structural decomposition, were observed on the SEM micrographs. The size of the

crystal structure also depended on the depth in the case. Carbides smaller than 1

micron were mainly formed at the grain and phase boundaries: namely, the

electrochemically unstable region. Also, carbon saturated in the plate martensite is

precipitated to fine carbide within the plate. The composition and distribution of the

carbides was determined by BSE micrographs and EDS analysis. A fine dispersion of

the carbides was observed at the surface. Carbides are composed of alloying elements

(e.g., Mo, V, and Cr). Based on the spectra of the spotted EDS analysis, it confirmed

the molybdenum-rich shiny carbide and the V-rich black carbides. Finally, the case-

depth was confirmed through a hardness test, with a gradual change in the numerical

hardness value from 7.3GPa to 4.5GPa.

The carbon gradient creates variation in the microstructure that corresponds to the

gradational change in hardness. A hard, strong surface with compressive residual

stress is obtained with a tougher and ductile core. These factors are expected to

contribute to better wear resistance at the surface. Retained austenite is minimized for

structural stability, and a fine dispersion of primary and intermetalic carbides are used to

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enhance hot hardness. The presence of small carbides is also advantageous to avoid

subsurface-initiated failure. In the next chapter, the contribution of these factors will be

investigated by the RCF response of M50NiL.

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Table 2-1. Chemical composition of M50 and M50NiL steels.

Alloys Melt

Method

Elemental Composition (%)

C Cr Mo V Ni Fe

M50 VIMVAR* 0.83 4.20 4.25 1.00 - Remaining

M50NiL VIMVAR* 0.13 4.10 4.40 1.15 3.40 Remaining

VIMVAR* indicates Vacuum Induction Melting-Vacuum Arc Remelting Method.

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Figure 2-1. Characteristics of M50 steel (a) Concentration of undissolved carbides at an

elevated heat treatment for 7 minutes, (b) change in hardness and amount of retained austenite during tempering [26].

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Figure 2-2. Characteristics of the case of M50NiL plate as a function of depth: (order

from top to bottom) Vicker‟s hardness, residual stress, half-value-breadth, and retained austenite [14].

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Figure 2-3. Experimental methods of sample preparation: two types of surfaces of

M50NiL, longitudinal (A) and radial cross-section (B) through the sectioning of the rod into small cylinders and further cutting in half.

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Figure 2-4. XRD analysis of the radial cross-section of M50NiL performed by Cu-Kα

radiation (a wave length of 1.54Å ) at 40KV and 20mA, the 2 theta range between 35º and 120º, and step size of 0.02.

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Figure 2-5. Light optical micrographs of the etched surfaces of M50NiL: (a) the radial

cross-section and (b) the longitudinal cross-section characterized by color gradation caused by nital etching (scale bar: 200μm).

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Figure 2-6. The SEM micrographs of the surface of the radial cross section of M50NiL taken at (a) a depth of 100μm and (b) 200-250μm to determine the morphology of martensite and carbides.

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Figure 2-7. The SEM micrographs of the morphology of martensite (a) lath martensite of the as-quenched ASTM A514 steel, (b) plate martensite of AISI/SAE 1095 steel [20].

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Figure 2-8. The SEM micrographs of Cronidur 30 showing the transformation from retained austenite to martensite (a) unloaded area with clear grain boundaries of the former austenite and undamaged surface, (b) surface at the depth of the maximum equivalent stress showing lamellar shape of etching response [21].

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Figure 2-9. The SEM micrographs of the surface in the case of M50NiL, which is lightly re-polished after etching: many carbides (sphere-like) are founded along the boundaries (black line), (a) compositional differences with BSE mode, (b) the topography of the grain structure taken by SE interactions.

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Figure 2-10. The SEM micrograph of M50NiL at a depth of 100 microns from the surface taken by BSE mode: different phase of the carbides is distinguished by the atomic number.

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Figure 2-11. The SEM micrographs of the radial cross section of M50NiL taken by the interaction with backscattered electrons: the investigated area pointed by arrow is 150 microns away from the surface (left), details at a higher magnification reveal the morphology and dispersion of carbides showing selected four different spots (A to D) for determining the composition (right), and the corresponding result of EDS analysis (below).

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Figure 2-12. Micro-hardness test on the radial cross-section of M50NiL: series of hardness is plotted as a function of depth as indicated by the indentation mapping. Hardness profile is matched with the carbon gradient shown in LOM image. The two specimens having the different depth of the case show the different slope of the hardness variation.

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CHAPTER 3 WORK HARDENING RESPONSE OF M50NIL STEEL INDUCED BY ROLLING

CONTACT FATIGUE

A ball bearing experiences significant microstructural changes under complex

loading conditions during its operation, eventually leading to failure. Ball bearing failure

is mainly caused by material fatigue, assuming the bearing is ideally loaded, installed,

and lubricated in the absence of contaminants [1]. The fatigue induced decay of the

microstructure results in a reset of both the new and existing residual stresses, changes

in hardness and etching response, and development of preferred crystallographic

orientation. With respect to the observed changes, the material‟s response to RCF is

described by three stepwise processes: shake-down, steady-state operation, and

instability (Figure 3-1). The initial shake-down stage is represented by plastic

deformation caused by cyclic work-hardening, and residual stress build-up resulting

from martensitic transformation of retained austenite. This stage continues until the load

exposed volume is fully modified by micro-straining, allowing the next stage bears

elastic-cyclic loading. The amplitude of the resulting cyclic strain decreases as a

function of the depth from the running surface [9]. In the second incubation stage, a

large elastic response continues until severe plastic deformations develop. Finally, in

the last stage, cracks are nucleated and propagated producing wear particles. The

types of cracks are grouped by the origin of the nucleated site into subsurface or

surface initiated (Figure 3-2).

Subsurface initiated cracks are considered the dominant failure mechanism of

bearings exposed to ideal lubrication; however, in practice, about 70% of bearing failure

results from „surface distress‟, with another 10% due to corrosion [27-29]. Therefore, it

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is assumed that bearing life depends greatly on the operating conditions and the quality

of the materials.

The process of microstructural degradation of M50NiL is presented in this chapter.

The M50NiL sample was subjected to RCF and was expected to undergo work-

hardening after a certain number of cycles during the shake-down stage. The

conditioned plastic deformation at the load exposed area was then allowed to

experience an elastic steady-state process, eventually developing wear particles. To

date, the majority of research has focused on analyzing failure in terms of bearing life or

the mechanism of wear particle formation induced by either spalling or pitting. Though it

is very important to investigate how the failure is initiated and how the microstructure is

altered at its final stage, it is also crucial to understand the material‟s distinctive

alterations accompanied by RCF throughout its service life. Also, understanding the

characteristics of the material is necessary because they are the primary determinants

of the degradation process. The fundamentals of M50NiL were well detailed in the

previous chapter in order to better interpret the evolution of the material‟s response

under cyclic stress.

In this chapter, investigation of the RCF response of M50NiL was begun at the

shake-down stage: cyclic hardening and the saturation limit of the plastic deformation.

This study, when combined with current studies on crack initiation and propagation, will

provide valuable insight on the mechanism of RCF over the material‟s service life.

Work-hardened M50NiL was characterized by its etching response, high magnification

micrographs taken by SEM and TEM, and a micro-hardness test.

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Hardness is not considered a typical physical property of a material; however, it is

an easy method to estimate and compare a material‟s resistance to permanent plastic

deformation. It can be used to determine the stress-strain response of the material via

the so-called reverse analysis method [30-33]. Strain-hardened material increases in

hardness due to accumulated plastic strain, which is possibly related to increased flow

stress [34]. Our previous study utilizing the new reverse analysis of case hardened

M50NiL bearing steels was successful in showing the gradient of the plastic flow

coincident with the experimental Vickers hardness test [11]. Therefore, the hardness

test performed in this chapter is expected to show unique plastic flow induced by the

RCF of cyclic loadings and the strain-induced microstructural changes.

Materials and Methods

Sample Preparation

A commercial grade case-hardened M50NiL rod (Diameter: 9.525mm) was

employed with a chemical composition defined in Table 2-1. The M50NiL rod was

subjected to RCF tests followed by “A Ball-Rod Rolling Contact Fatigue Tester,” ASTM

STP 771. Briefly, M50NiL rod was surrounded by three silicon nitride balls (Diameter:

12.7mm) constrained by steel 4340 cage in M50 race at 177 ºC. The resultant contact

stress was 5.5GPa. A serial study of material‟s cyclic hardening was performed with

respect to the different number of cycles. After the test, the rod was sectioned into small

cylinders and was further cut in half to reveal the radial and longitudinal cross-sections

(Figure 3-3). Each cross-section was then mechanically polished following a standard

metallographic polishing procedure until a smooth surface was obtained.

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X-Ray Diffraction (XRD) Analysis

The crystal structure of work-hardened M50NiL was determined by X-ray

analysis (Philips APD 3720). The radial cross section of the sample was placed on a

glass slide and fixed with double-sided scotch tape. Cu-Kα radiation (wave length:

1.54Å ) was used at 40KV and 20mA in the 2 theta ranging from 35º to 120º. Step size

was 0.02 and time per step was 0.2 seconds.

Etching Characteristics

Changes in the carbide gradient and surface characteristics were established by

natal etching. A commercially available nital etchant (3% nitric acid in methanol) was

used. The surface of the specimen was swabbed with the etchant for 45 seconds, then

washed with excess water. The specimen was then treated with ethanol and air-dried.

The resulting etched surface was probed by Light Optical Microscopy (LOM) and

Scanning Electron Microscopy (SEM).

Vickers Hardness Test

Plastic flow and surface hardening induced by RCF was measured

perpendicularly from surface to the core via Vickers micro-hardness testing system

(Wilson® Instruments, Tukon™ 2100B). A standard Vickers indenter with a 100g load

was applied to the polished surface and fixed for 11 seconds. The spacing between

indentations was maintained at 75µm to minimize the interaction between two

neighboring indents, followed by ASTM E-384. The measured hardness was plotted

with respect to the depth from the contact surface.

Scanning Electron Microscopy (SEM) Analysis

The surface etched by nital etchant was placed on a carbon stub for SEM (JEOL

6335F FEG-SEM) to investigate the detailed surface topography as well as

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compositional differences at a higher magnification. The SEM uses a Field Emission

Gun as the electron source. During operation, voltage for SEM was maintained at 15kV.

The composition of carbides was also probed by Electron Diffraction Spectroscopy

(EDS).

Transmission Electron Microscopy (TEM) Analysis

Nano-structure of the plastically deformed area was proved by TEM (JEOL

200CX) working at 200kV. Bright Field (BF) images and Selected Area Electron

Diffraction (SAED) patterns were obtained in order to determine crystal structure and

grain size. For TEM analysis, sample was prepared by Focused Ion Beam (FIB, FIB

Dual-Beam Strata DB235) technique. The sample was taken from a depth of 100

microns away from the surface by milling the neighbor of the interested area via FIB

until thickness of the remained plate was less than 200 micron. The thin plate was

undercut, and was lifted out from the bulk specimen. Finally, it was transported to a

copper TEM grid.

Results and Discussion

Analysis of the Initial Cyclic Work-Hardening Response of M50NiL

Voskamp concluded that the initial shake-down stage ends at near 1000

revolutions after he investigated the rolling contact surface of a 6309-type deep groove

bearing inner ring. Based on this result, it can be assumed that work-hardening

saturation of the load exposed subsurface is reached at the very beginning of operation.

Since RCF greatly depends on the material and applied load, single criteria cannot be

universally applied to every material and condition. However, a thorough investigation of

the early stages of revolution is needed. For this reason, a series of RCF tests was

performed on M50NiL for variable time periods from 30 seconds to 3 minutes. The

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corresponding number of revolutions are provided in Table 3-1, showing calculated

revolutions ranging from over 4 thousand to over 25 thousand. Based on this, the

specimen was expected to undergo significant material shake down, with an increased

hardness. However, as shown in Figure 3-4, in the difference in hardness among the

five specimens is minor. Using a curve fit method, the hardness of the tested samples

seemed greater than the virgin sample; however, the maximum increase is around

0.2GPa. In addition, the hardness data were heavily scattered. The hardness increase

may not only come from hardening, but also may result from a neighboring fine

dispersion of carbides. Therefore, caution should be used in rehard to concluding that

the specimens were work-hardened. An etched surface test of the specimens showed

no variation. Hence, it is concluded that the microstructure has started to respond to the

contact tress and cyclic loading, and that further alteration is expected to be proportional

to the loading time.

M50NiL has a hard carburized case on its surface with favorable compressive

residual stress and tough core with a high level of ductility. Therefore, it shows good

wear resistance to an applied loading condition. Also, the amount of the retained

austenite is minimized to less than 4% through the multi-stepped tempering process

resulting in the limited martensitic transformation of the retained austenite. Therefore,

this may inhibit cyclic work-hardening in M50NiL steel. However, further application of

contact stress can lead to plastic deformation, continuing until the elastic steady-state

stage is reached.

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Analysis of the Cyclic Work-Hardening Response of M50NiL in the Shake-Down

Stage

A RCF test on M50NiL was performed for over one million cycles in order to

investigate work-hardening and residual stress, showing the calculated numbers of

revolutions in Table 3-2.

The plastically deformed area, with a resultant contact stress of 5.5GPa from

rolling, was visualized by nital etchant under an LOM system (Figure 3-5). The

damaged area can be distinguished by a lighter color etching framed by a darker color

band than the unaffected area. A distinctive pale colored layer is apparent on the radial

cross section along the circumferential direction, while a lightly etched semicircular

feature is observed on the longitudinal cross section. Such contrast is due to the

difference in the material‟s resistance to the nital etchant. More etching occurs when

there is a greater difference in electrochemical potential between two neighboring

phases or grains. A lighter color indicates that the area is less etched, with a greater

resistance to the chemical attack caused by the etchant, and vice versa. Etching

resistance can normally be enhanced by removing phase or grain boundaries. In the

case of tempered martensite, the easiest way to improve the resistance may be the

removal or dissolution of the carbides, or coarseness of grain size, reducing the

attackable site. However, more boundaries result in increased strength and hardness,

since the boundary plays an important role in blocking dislocation motion. Therefore, the

lower hardness value may be accompanied by a reduced boundary area.

However, the main mechanism of action in the shake down stage is cyclic strain

hardening, leading to an increased hardness. The micro-hardness test performed on

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radial cross sections of specimens that underwent different periods of rolling contact

fatigue confirmed an increased hardness in the plastically deformed area (Figure 3-6).

As shown in the previous chapter, the virgin specimen exhibited the hardness gradient

from the surface hardness of 7.24GPa to the core hardness of 4.5GPa in the case-

hardened layer. Compared to the control, the two specimens subjected to the RCF test

show increased numerical hardness values near the surface, down to a depth of 300

microns, which merges into the best-fitted virgin curve. The increase in hardness is

localized. Also, the depth of the plastically hardened area on the plot is coincident to the

lightly etched area on the LOM image (Figure 3-5). The maximum increase of 1GPa in

hardness is observed near the surface on both specimens, which is due to the

maximum cyclic strain amplitude induced by RCF. The strain amplitude also decreases

as a function of depth, reaching near zero at the boundary between the deformed zone

and unaffected area. Even though those two specimens showed a hardness increase of

1GPa compared to the virgin one, there was not a noticeable discrepancy on the

hardness among them in spite of the huge gap in the cycles they were subjected to (i.e.,

from 13.5 and 246 million). In a detailed view with a best curve fitting in the damaged

area (b), it showed that the longer the specimen was exposed to RCF, the higher the

hardness value that is obtained. Additional strain hardening and plastic deformation was

accumulated at the longer exposure time; however, the difference was about 0.1GPa

and may not be clearly noticeable without the curve fitting method. Based upon this

result, it can be assumed that in 13.5 million cycles the load=exposed volume almost

reaches its maximum capacity of work-hardening that can be attained by the constant

amplitude of a given cyclic stress. Therefore, increasing the number of revolutions

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cannot further increase the hardness, since the full volume of the load-exposed area

had already experienced sufficient plastic work-hardening.

Moreover, a three-dimensional surface plot of the hardness variation revealed the

plastic strain flow on the longitudinal section (Figure 3-7). The virgin specimen showed

moderate surface variation of the hardness, with the exception of a few distinctive error

peaks. The difference between the maximum and minimum hardness is less than

0.5GPa. As shown in the radial cross section in Figure 3-6, the hardness value near the

surface is steady near 7.2GPa until a distance of 300 microns, and then decreases

gradually along the carbon gradation. The RCF specimen that underwent 246 million

RCF cycles successfully shows the localized plastic deformation through the surface

variation. The deformed area is semicircular with the greatest increase in hardness

having occurred nearest to the origin (the loading center). The variation is lessened as

the distance increases either laterally, through changes in depth, or both. Therefore, it

can be concluded that the cyclic strain hardening of RCF is governed by the contact

stress mechanism. The greater amount of flow stress induced near the loading center,

the greater the accumulated plastic strain produced, resulting in the material‟s

strengthening.

In order to further detail the induced plastic deformation that is responsible for the

strong etching resistance to the etching solution and 1GPa hardness increase, the

microstructure of the RCF tested M50NiL was investigated by SEM and TEM. Based on

the optical micrograph and sample geometry, the depth of the hardened area was

calculated. The two specimens showed a depth of about 220 microns below the surface.

Therefore, SEM micrographs were taken at depths of 100, 250, and 500 microns. The

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image of a depth of 100 microns is representative to the heavily deformed but lightly

etched area, while the one taken at 250 microns is on the severely etched area. The

overall characteristics of the final micrograph are expected to be similar.

The microstructural characteristics of M50NiL were introduced in the previous

chapter. The crystal structure of the virgin specimen was confirmed as tempered

martensite, partial decomposition into ferrite and cementite. A needle-like plate

martensite structure was also observed, and its size increased as a function of depth

from the surface. In Figure 3-8, the micrograph taken at a depth of 100 microns is

heavily populated by the shorter length of randomly disorganized martensite. Also,

larger numbers of carbides are observed, including white colored Mo-based, and V-

based black carbides. As the depth increases, the length of the structure increases,

while the population decreases. Compared to the control condition, the surface of the

RCF exposed specimen is smoother, with an absence of the needle structures at a

depth of 100 microns. As shown in the next micrographs, in the test specimen, the

shorter length of martensite is heavily developed due to structural breakage, and the

topography is similar in characteristic to the virgin specimen obtained at 100 microns.

However, at 250 microns deep, the test sample shows a decayed structure, confirming

partial decomposition. To summarize the results, firstly, grain size is decreased, leading

to the shorter length of the needle structures. Secondly, the transformation from

retained austenite to martensite occurs, even though the maximum content of the

retained austenite was reduced to less than 4% at the tempering stage. As shown in

Figure 2-8, the transformation induces numerous scratches on the grain surface due to

the nature of the martensite formation. Finally, the broken and newly formed structures

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are decayed by RCF, following the gradient of the strain amplitude. Carbon saturated

martensite is decomposed into ferrite and carbide; thus, the cyclic stress induces more

highly tempered martensite. Therefore, the image, at the border of the deformed area at

250 microns deep, shows severe etching characteristics than the surrounding area. The

population of distinguishable white Mo-based carbides appears similarly in both

specimens. The black carbidess such as the V-based one and cementite, seems larger,

but it is hard to discriminate them due to limitations in contrast. As confirmed in Figure

3-8 (a), the surface is much smoother, with shallow pockmarks rather than deep

grooves of random needle structures. This surface smoothness is the direct result of the

less active etching behavior. It can be assumed that this is because the decayed

structures shown in (c) subjected to further structural break-down into very fine grained

ferrite matrix and carbide under RCF. Generally, finer grain results in more boundaries,

leading to heavier etching damage. However, if the size is too small (e.g., nano size),

the etchant cannot effectively damage the all boundaries due to the oversheling amount

of them. The relevance of the grain size is discussed below.

TEM micrographs show a more detailed microstructure at the nano-scale level

(Figure 3-9). The first BF image (a) showes martensite grains at a width of

approximately 100nm; the boundaries between each grain were filled with needle-like

cementite, unknown hard material and/or dislocation accumulation. They may serve as

an obstacle to dislocation movement induced by strain hardening. In addition, sphere

carbides are randomly spread throughout the surface. The layered grain structures,

showing a few misfit of the orientation, are observed at (b), and the detailed orientations

are depicted in (c). Such a grain structure is also well known as a dislocation obstacle;

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therefore, it can also be assumed that it contributed to the material‟s hardening. In

addition, the clusters of very fine carbide grains are observed, indicated by arrows.

However, the nano-structure of the virgin specimen should be taken into account.

The corresponding TEM SAED patterns are given in Figure 3-10 with the solution.

Previously, it was expected that the grain size was severely reduced to a very fine

structure because of the strong etching resistance. However, the resulting pattern does

not show the perfect ring pattern that is one of the main characteristics of nano-scaled

material. Instead of the ring-type pattern, the diffraction is composed of a multitude of

spots, which almost formed a ring. Therefore, consideration should be given that the

grain is subjected to substantial size reduction. Based on the calculation, each spot was

indexed, and the beam direction was [111]. From the first pattern, it was confirmed that

the ferrite matrix has a BCC structure, and the alloying VC carbide has a cubic structure.

The composition of the carbides is V8C7, which corresponds to the {002} and {012}

planes. Through another diffraction under the same [111] direction(c), the ferrite BCC

structure of the {110} plane was also confirmed as well as the grain size reduction.

However, the result was also not a perfectly connected circle. The structural mismatch

is also observed at the guided mapping on (d). One structure is tilted to a very minor

degree against another. This may be a result of the neighboring grain, which has a

small orientation incongruity, as depicted in Figure 3-9. The molybdenum carbide was

confirmed to be a Hexagonal Close Packed (HCP) structure, namely Mo2C. As indicated

on the solution on (e), the hexagonal structure is a little stretched out along the y-axis

(up and down). The crystal structure and lattice constant have been well studied in the

open literature [24]. A further EDS analysis of the radial cross section at a depth of 150

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microns confirmed the morphology and elemental composition of the carbides (Figure 3-

11). As seen previously in the virgin specimen, there are three distinguishable carbide

structures: black chunk carbide, white chuck carbide, and a very fine acicular type. In

addition, there is only a small difference in the population and distribution of the

carbides between the two samples. However, due to the contrast limitations, it is difficult

to determine the contribution of the carbides on the strengthening by using these two

pictures. Also, similar to the previous results, it was confirmed that the black chunk

carbide is V-based (namely V8C7 ) even though the adjacent carbide showed Mo-peak.

The white one is Mo2C carbide, and the matrix is a tempered martensite.

Summary

The main topic of this chapter is the study of RCF behavior of M50NiL in an

experimental system. Of the three stages of the M50NiL responses to cyclic loading, the

focus was on the initial shake-down stage. The shake down is referred to as cyclic work

hardening or the strain hardening stage, where the bearing steel work-hardened. The

M50NiL rod was subjected to the ball-and-rod RCF testing, and the plastic responses

were studied by etching response, hardness variation, and microstructural investigation.

In order to determine the time period in which cyclic hardening is induced, the material

was subjected to short testing times in accordance with the literature. However, there

was no discernable change in a numerical hardness value or etching response. Since a

micro-hardness test is proved as an effective way to verify plastic strain flow in a

material; based on the results of the scattered hardness and curve fitting method, it was

concluded that the specimens were not plastically deformed, but had nearly become

strain-hardened based.

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Increasing the number of revolutions into the millions successfully yielded work-

hardened material. In order to chronicle material‟s response, the experiment was

performed for two different time periods (13.5 and 246 million revolutions, respectively).

Firstly, compared to the control sample, the hardness of the test specimens both

increased a maximum of 1GPa at the surface. The increment gradually decreased with

depth, and merged with the virgin hardness plot at the boundary between the deformed

and unaffected area near a depth of 300microns. Between the two tested specimens,

there was no significant discrepancy of the resulting hardness in the plastically

deformed region without curve fitting method, which showed an increment of about

0.1GPa. This infers that the fatigued specimen with 13.5 million cycles was almost fully

strain-hardened to its limit of plastic deformation, and the other test specimen might

have run at the second steady-static response stage. Hence, a further increase in cycle

number could not result in additional hardening of the material. The load exposed

volume became strengthened due to the hardening process; therefore, the amounts of

the deformation under a fixed amplitude of stress decreases as the increased number of

revolutions, finally reaching zero, and entering the next stage.

Moreover, the hardness increase was the maximum at the center of loading, and

decreased with increased lateral distance away from the center. The shape of the

plastically deformed area was similar to what was theoretically speculated, and depth

also corresponded to the depth of hardness-increased zone. The damaged area

showed strong resistance to nital etchant, and was enclosed by a heavily etched band

at the boundary between the deformed and unaffected areas. The greater etching area

resulted from structural break-down, caused by tempered martensite decomposition,

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and martensitic transformation of retained austenite. The needle-like structures

disappeared and the shortly broken structures were subjected to further structural decay.

The surface became roughened, providing more etchant attackable sites. The area with

less etching underwent further structural break-down, decay, and decomposition than

the band with more etching. The initial structure had originally smaller grain and rougher

surface due to the carbon gradient. Moreover, in the less etched area, the damage

gradient was also induced by the resultant strain amplitude from RCF as shown in the

hardness plot. It lost the characteristics of martensite, and experienced grain size

reduction. The TEM analysis showed the ring-like diffraction patterns, confirming the

grain size decrease. In accordance with the SEM results, the solution of the electron

diffraction pattern also confirmed the cubic structure of V8C7 carbide, and HCP structure

of Mo2 carbide on a base of BCC ferrite matrix.

In conclusion, cyclic work-hardening of M50NiL induced by RCF occurs through

grain size decrease, structural decay of tempered martensite, and minor effect from

retained austenite transformation. Further study on the subsequent stage will be helpful

to understand the complete life of M50NiL under RCF and predict the service life more

precisely.

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Table 3-1. RCF testing time and the corresponding number of revolutions in accordance with ASTM standard (ASTM STP 771) for elastic shake-down

Time (min.) Total cycles

1 0.5 4300.2

2 1 8600.4

3 2 17200.8

4 3 25801.2

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Table 3-2. RCF testing time and the corresponding number of revolutions in accordance with ASTM standard (ASTM STP 771) for plastic shake down.

Time (min.) Total cycles

1 26.19 13514668.56

2 476.64 245957679.4

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Figure 3-1. Schematic illustration of the stages of a material‟s evolution by RCF cycles: shake-down, steady-state response, and instability.

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Figure 3-2. Images of surface initiated spall (top) and subsurface initiated spall (bottom) [35].

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Figure 3-3. Experimental preparation method for RCF test specimens. The M50NiL rod was RCF tested following the ASTM STP 771 standard over different time periods. The individually sectioned specimen was further cut in half to create (A) longitudinal and (B) radial cross-sections.

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(a)

0 500 1000 1500 2000 2500

5

6

7

8 4.3K cycles

8.6K cycles

17.2K cycles

25.8K cycles

Virgin

Virgin_Curve fitting

Ha

rdn

ess (

GP

a)

Depth (Micron)

(b)

Figure 3-4. A micro-hardness test of M50NiL after exposure to a small numver of RCF cycles: (a) hardness plot of the entire carburizing layer, and (b) the enlarged area of the deformation observed at a depth of 1000 microns. Compared to the dashed fitting curve of the virgin specimen, the hardness of the tested sample seems slightly increased.

0 200 400 600 800 1000

6

7

8

Har

dnes

s (G

Pa)

Depth (Micron)

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Figure 3-5. Light optical micrographs of the etched surfaces of RCF exposed M50NiL. During the RCF test, the M50NiL rod was pressurized by silicon nitride balls and the cyclic loadings, causing the localized load exposed volume to be plastically deformed. This appears as a white etching area on the LOM images: (top right) the radial cross-section and (bottom left) the longitudinal cross-section (scale bar: 200 μm).

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Figure 3-6. A micro-hardness test on the radial cross section of M50NiL exposed to millions of cycles of RCF to develop cyclic strain hardening in the shake down stage, (a) Schematic diagram of micro indentation mapping as a function of the depth away from the surface, (b) a detailed hardness plot along with the curve fitting, and (c) a plot of micro-hardness versus depth of the virgin and test specimens (13.5M cycles, and 246M cycles).

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Figure 3-7. A micro-hardness test on the longitudinal cross section of virgin and RCF exposed M50NiL specimens to determine cyclic strain hardening in the shake down stage after 246 million cycles: (a) micro-indentation mapping, and (b) a three- dimensional surface plot of the hardness.

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Figure 3-8. Comparison of SEM micrographs between virgin (right column: b, d, and f) and a RCF exposed specimen with 246 million revolutions (left column: a, c, and e) at three different depths: (first row: a, b) 100 microns, (second row: c, d) 250 microns, and (third row: e, f) 500 microns.

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Figure 3-9. TEM micrographs of RCF exposed specimen taken at a depth of 100 microns: (a) BF image of the overall grain structure, (b) BF image of the mis-orientation of neighboring grains, and (c) the solution of the orientation.

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Figure 3-10. TEM micrographs of the electron diffraction patterns and solution: (a) a ring-like pattern and its solution, (b) the confirmation of tempered martensite and VC carbides, (c) another type of ring-like pattern, (d) a misfit of the diffraction patterns, (c) the evidence of Mo2C carbide.

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Figure 3-11. The SEM micrographs of the comparison of the carbide distribution and population between the virgin and RCF exposed specimen with 246 million revolutions at a depth of 100 microns. The EDS analysis on the indicated area on RCF exposed specimen with 246 million revolutions: the evidence of V-rich carbide (A), ferrite matrix (B), Mo-rich carbide (C).

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CHAPTER 4 CONCLUSION

In order to predict a better service life and prevent an unexpected sudden

fracture of bearings, this study is concentrated on investigation of the fundamental

characteristics of M50NiL, and its responses to RCF.

Firstly, M50NiL develops its characteristic case layer near the surface, and the

microstructure varies as a function of depth from the surface, causing a hardness

variation it the case. LOM confirmed the carbide gradient as a color gradation

represented by a nital etching response. The crystal structure was confirmed by X-ray

analysis to be tempered martensite, resulting from partial decomposition from

martensite to ferritic matrix and carbides. The characteristic features of the M50NIL

steel was observed on the SEM micrographs. The size of the crystal structure also

depended on the depth, and carbides were smaller than 1 micron. The composition and

distribution of the carbides was determined by BSE micrographs and EDS analysis. A

fine dispersion of the carbides was observed, and it confirmed the molybdenum-rich

shiny carbide and the V-rich black carbides through the spotted EDS analysis. A

gradual change in the numerical hardness value, also caused by the carbon gradient

was also confirmed from 7.3GPa to 4.5GPa.

The study of RCF behavior of M50NiL under a laboratory-based experimental

system was performed based on the fundamentals of M50NiL previously investigated.

The material‟s response to RCF is described by three stepwise processes: shake-down,

steady-state operation, and instability. The first shake-down stage was begun to be

investigated. The shake down is represented by cyclic work hardening or strain

hardening stage, allowing the bearing steel work-hardened. The experiment was

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performed on two different time intervals, resulting in the corresponding number of

revolutions is 13.5 and 246 million respectively. The hardness of the both tested

specimens increased up to 1GPa near the surface with the maximum increment, and

gradually decreased as a function of depth, finally merging with the virgin hardness plot

at the depth of about 300microns. There was no discrepancy of the hardness observed

between the two tested specimens since the fatigued specimen with 13.5 million cycles

was fully strain-hardened to its maximum capacity of plastic deformation. Therefore, the

more hardening cannot be achieved by the further increased number of cycles. In

addition, the hardness increase was the maximum at the center of loading, and

decreased with increased lateral distance from the center. The damaged area showed

strong resistance to nital etchant and it was framed by heavily etched area. The more

actively etched area was resulted from structural break-down, caused by tempered

martensite decomposition, and martensitic transformation of retained austenite. The

needle-like character disappeared, and the shortly broken structures were subjected to

further structural decay. The surface became roughened, providing more etchant

attackable sites. However, the less etched area experienced further structural break-

down, decay, and decomposition than the heavily etched band previously discussed. In

this area, the damage gradient was also induced by the resultant strain amplitude from

RCF. It also showed grain size reduction. The TEM result confirmed the grain size

decrease. In accordance with SEM results, the solution of the electron diffraction pattern

also confirmed cubic structure of V8C7 carbide, and HCP structure of Mo2 carbide in the

BCC ferrite matrix. These carbides are responsible to hot hardness. In order to

conclude the cyclic work-hardening of M50NiL induced by RCF, grain size decrease,

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structural decay of tempered martensite, and minor effect from retained austenite

transformation must be taken in account in terms of the gradient of carbon and strain

amplitude. These alterations can accommodate blocking of the dislocation movement.

This study, when combined with current studies on crack initiation and propagation, will

provide valuable insight on the mechanism of RCF over the material‟s service life.

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LIST OF REFERENCES

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BIOGRAPHICAL SKETCH

Myong Hwa Lee was born in Suwon, South Korea in 1983. She grew up in the

same city with her parents, Janghan Lee and Kisoon Hwang, and her older sister,

Myong Jin Lee. After she graduated from Bulkok High School in Sungnam in 2002, she

was admitted to the Department of Materials Science and Engineering in Kookmin

University in Seoul, South Korea. While Kookmin University, she was a leader of the

Literary Society. She attended the program of English as a Secondary Language at the

University Oregon in 2004. Also, she obtained the teacher‟s certificate in secondary

school education from the Ministry of Education in Seoul, South Korea in 2007. With her

bachelor‟s degree, she was accepted into the Department of Materials Science and

Engineering at the University of Florida in 2007. She had worked for Dr. Laurie Gower

on the biomimetics, specifically study on biomineralization of bone for 2 years. After

obtaining her master‟s degree in 2009, she changed her major field and was accepted

into the department of Mechanical and Aerospace Engineering at the University of

Florida in 2010. She has worked for Dr. Nagaraj Arekere in the field of failure analysis,

specifically investigation of microstructural changes of the ball bearings for aerospace

application. Under his generosity and support, she successfully defended her master‟s

thesis and graduated from the University of Florida in the spring of 2012.