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3-4.Oct. 2012, Nordic Seminar
Evaluation of material deterioration of rails subjected to rolling contact fatiguesubjected to rolling contact fatigue
using x-ray diffraction
Motohide Matsui
1) Department of Applied Mechanics, Chalmers University of TechnologySE-412 96 Gothenburg, Sweden
2) Materials Technology Division Railway Technical Research Institute2) Materials Technology Division, Railway Technical Research Institute2-8-38 Hikari Kokubunji Tokyo 185-8540, [email protected], [email protected]
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OverviewOverview
1) Background
2) Purpose of this work
3) Experimental
4) Results of x-ray examinations4) Results of x ray examinations5) Conclusions
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Appearance of rail RCF damageFC← TD: Train direction
Head check
Squat
GC
As-rolled (tangent) Head-hardened (curve)Flaking Side wear
As rolled (tangent)
Squat(GCC) Other problem:pside wearcorrugation
Head-hardened (curve)
Side wear corrosion fatigue(bottom side) etc..
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( )
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Chemical compositionChemical composition of of rail in Japanrail in Japan
(mass%)(mass%)
C Si Mn P S CrA 0 63 0 15 0 70As-
rolled0.63-0.75
0.15-0.30
0.70-1.10 0.030 0.025 -
H dHead hardened(HH340)
0.72-0.82
0.10-0.55
0.70-1.10 0.030 0.020 0.20(HH340)
:JIS (Japanese Industrial Standard)As-rolled : tangent rail
Head hardened : only curve rail (usually less than R800m)
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y ( y )
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Mechanical strength of rail in JapanMechanical strength of rail in Japan
Tensile strength (MPa)
Total elongation(%)( ) (%)
As-rolled 800 10
Head hardened(HH340) 1080 8
:JIS (Japanese Industrial Standard)
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Portion of RCF damage for rail replacement
Others(joint
Over 50% of rail replacementsOver 50% of rail replacements
S t 26%
(joint, etc..), 9%
Squat, 26%Corrosion,
30%Head
check, 35%
2008-2009 in Tokyo districty
Reduction in reliability and operational life of rails
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Mitigating action (Rail grinding by grinding stones)
レール削正車
SPENO grinding car for Shinkansen line
Rail grinding operations are periodically performed to remove
Grinding operation
Rail grinding operations are periodically performed to remove the RCF layers.
i di d h d i l l i i ll d id dGrinding depth and interval are almost empirically decided.
Quantitative microstructural analyses on RCF layersRailway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst itute
Quantitative microstructural analyses on RCF layers
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Purpose of this workPurpose of this work
Clarify how the RCF layer forms from a material aspect aiming at the effectivematerial aspect, aiming at the effective mitigating actions for RCF damage
Estimate the crystallite size and dislocation density of RCF layer using x-ray diffraction
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What is crystallite ?What is crystallite ?
Grain size from x-ray measurement
Crystal grain with nearly the same crystal orientation
What is dislocation ?What is dislocation ?
Irregularity of alignment of atoms
When a material is plastically deformed, dislocations are induced d i
Railway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst ituteand increase.
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Principle of xPrinciple of x--ray diffraction ray diffraction
Incident x-rayBragg’s law
Diffracted x-ray
θdλn sin2= ・
dθdd
Wavelength : λL tti i : dLattice spacing: dangle: θ
Texture formation, crystallite size, nonuniform distortion(lattice strain) and dislocation densit etc
Railway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst ituteand dislocation density etc..
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Microstructural evolution due to RCF(grain subdivision)
Initial Dislocation induced
Dislocation cell, subgrain
High angle grain boundaryMicrostructural refinement,
Railway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst ituteHigh angle grain boundary metallic flow, texture …..
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Effect of strain on xEffect of strain on x--ray diffraction peak ray diffraction peak d
lattice
d’
d
lattice
d’elastic strain
d
undistorted elastically distorted
d1 d2 d3d1
d2d3plastically 1 2 3
deformed
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How to estimate crystallite size and dislocation How to estimate crystallite size and dislocation densitydensity
β:integral peak widthθ: diffraction angle
density density Williamson-Hall equation
ε
1
λ
sinθ2η
λ
cosθβ +=
θ: diffraction angleη:nonuniform distortionε: crystallite size (nm)λ i idελλ λ:incident x-ray wave length
22/1
Modified Williamson-Hall equationC di l ti t t f t d fi d)O(KC'K 22/1 ++=Δ KCβα
'1
'α =λ
θsin2=K
C: dislocation contrast factor definedby Warren
'εModified Warrren-Averbach equation
λL: Fourier lengthA(L): real part of Fourier
222 )())(()(ln CKPCKLXLA +−= γ
)ln()(22 RLbLX eρπ
coefficient of (hkl) diffraction
ρ: dislocation density (1/m2)
Railway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst itute)ln(
2)(
LLX eρ= ρ y ( )
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RCF test equipment10510
0φ5
φ50
Overview
Railway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst ituteTest sample
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Sample subjected to RCF test Contact pressure : 1.2GPaSlip ratio : 0%100 000 cycles
0.0
1 0τmax
0 1E16
100,000 cyclesDryRarely worn after test
1.0
2.0
3 0
Z/a
τxz_range
20
0
1E15
1E16
Crystallite size Dislocation density 1/
m2
Surface roughness < 30μm3.0
4.0
5 0
40
1E14
1E15
te si
ze, n
m
n de
nsity
, 1
(111) texture formation
5.0 0 200 400 600 800
Stress, MPa
80
60
1E13
Cry
stalli
t
Disl
ocat
ion ( )
0.6
0.7
111
sity
0 100 200 300 400 500 600100
80
1E12
D
0 3
0.4
0.5
inte
gral
inte
ns
Depth from surface, μm
It is significant to consider the effect of 0.10.2
0.3
Nor
mal
ized
i
Railway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst itutesurface roughness on the contact patch
0 100 200 300 400 500 6000.0
Depth from surface, μm
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Serviced tangent rail without rail grinding(500MGT passenger & freight mixed)(500MGT, passenger & freight mixed)
0
1E16
WEL
40
20
1E15
1E16 Crystallite size
e, n
m Dislocation density
sity,
1/m
2Metallic flowSurface roughness
60
40
1E14
talli
te si
ze
atio
n de
ns
(111) texture formation
80 1E13C
ryst
Disl
oc
0 500 1000 1500 2000100 1E12
Depth from surface μm
100μm
Depth from surface, μm
・Similar tendency to the test sample.Railway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst itute
y p・It is possible to investigate how the RCF evolves even in the case of serviced rail.
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Hardness (500MGT)Hardness (500MGT)
340
320H
V
280
300
Har
dnes
s, H
260
280H
0 100 200 300 400 500 600 700
Depth from surface μmDepth from surface, μm
Vickers hardness distribution (0.3HV)
Railway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst itute・Total RCF layer is not evaluable.・Measurement beneath the surface is difficult.
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Serviced tangent rail without rail grinding(50MGT passenger & freight mixed)(50MGT, passenger & freight mixed)
0 1E16
201E15
Crystallite size
m
Dislocation density
y, 1
/m2
Metallic flowSurface roughness < 20μm
40
1E14 ite si
ze, n
m
on d
ensit
y
Texture will be formed
80
60
1E13Crys
talli
Disl
ocat
io
100μm0 100 200 300
100
80
1E12
D
0 100 200 300
Depth from surface, μm
X i f ibl f thi RCF lRailway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst itute
X-ray is feasible even for a thin RCF layer.We can quantify the degree of RCF layer formation for each condition.
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ConclusionsConclusions
1. This x-ray measurement makes it possible to quantify the RCF layer f h f d i h i l i h d E i ll ifrom the surface and into the material in one method. Especially it is feasible even for a quite thin layer.
2 On the other hand it is hard to carry out hardness measurement just2. On the other hand, it is hard to carry out hardness measurement just on the surface. The hardness measurement could not cover the total RCF layer.y
3. Both crystallite size and dislocation density largely change in RCF layers. The surface layer was in all cases more damaged by RCF th th b f l (111) t t i f d i d ththan the subsurface layer. (111) texture is formed in some depths. (111) texture can be highly enhanced after a while serviced as a tangent railtangent rail.
4. It is significant to consider the surface roughness in the contact patch in the evaluation of RCF layer.
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Thank you for your kind attentionThank you for your kind attention
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0 7
0.83
Williamson-Hall Modified Williamson-Hall
0 4
0.5
0.6
0.7
K1 5
2
2.5
K
0.1
0.2
0.3
0.4Δ
0.5
1
1.5Δ
00.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0
KC1/2
00 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8
K
-4
-2
0
Modified Warrren-Averbach
-8
-6
4ln
(A)
-12
-10
0 5 10 15 20 25 30
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111 texture formation(500MGT, serviced tangent rail)111 texture formation(500MGT, serviced tangent rail)
12 (110)
10 (100) (211)
nten
sity
6
8 (310) (111)
nteg
ral i
n
4
6
aliz
ed in
2
Nor
ma
0 500 1000 1500 2000 25000
Depth from surface mRailway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst itute
Depth from surface, μm