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3-4.Oct. 2012, Nordic Seminar Evaluation of material deterioration of rails subjected to rolling contact fatigue subjected to rolling contact fatigue using x-ray diffraction Motohide Matsui 1) Department of Applied Mechanics, Chalmers University of Technology SE-412 96 Gothenburg, Sweden 2) Materials Technology Division Railway Technical Research Institute 2) Materials Technology Division, Railway Technical Research Institute 2-8-38 Hikari Kokubunji Tokyo 185-8540, Japan [email protected], [email protected] Railway Technical Research Institute Railway Technical Research Institute Railway Technical Research Institute Railway Technical Research Institute

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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]

    Railway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst itute

  • 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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    ( )

  • 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 )

  • 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

  • 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.

  • 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..

  • 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 …..

  • 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

    Railway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst itutenonuniformly distorted

  • 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 ( )

  • RCF test equipment10510

    0φ5

    φ50

    Overview

    Railway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst ituteTest sample

  • 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

  • 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.

  • 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.

  • 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.

  • 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

    Railway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst ituteRailway Technical Research Inst ituteK2C

  • 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