Effect of stress ratio on high-cycle fatigue …Evaluation using the modified Goodman diagram 5....

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Effect of stress ratio on high-cycle fatigue properties of Ti-6Al-4V ELI alloy forging at low temperature National Institute for Materials Science (NIMS) Yoshinori OnoTetsumi Yuri, Toshio Ogata Kyushu University Saburo Matsuoka Japan Aerospace Exploration Agency (JAXA) Hideo Sunakawa June 18, 2013 CEC-ICMC2013 @DENA’INA CIVIC & CONVENTION CENTER, Anchorage, AK 1MOrD1-04

Transcript of Effect of stress ratio on high-cycle fatigue …Evaluation using the modified Goodman diagram 5....

Page 1: Effect of stress ratio on high-cycle fatigue …Evaluation using the modified Goodman diagram 5. Summary Effect of stress ratio on high-cycle fatigue properties of Ti-6Al-4V ELI alloy

Effect of stress ratio on high-cycle fatigue properties of

Ti-6Al-4V ELI alloy forging at low temperature

National Institute for Materials Science (NIMS) Yoshinori Ono,Tetsumi Yuri, Toshio Ogata

Kyushu University

Saburo Matsuoka

Japan Aerospace Exploration Agency (JAXA)

Hideo Sunakawa

June 18, 2013 CEC-ICMC2013

@DENA’INA CIVIC & CONVENTION CENTER, Anchorage, AK

1MOrD1-04

Page 2: Effect of stress ratio on high-cycle fatigue …Evaluation using the modified Goodman diagram 5. Summary Effect of stress ratio on high-cycle fatigue properties of Ti-6Al-4V ELI alloy

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OUTLINE

1. Background

2. Experimental procedures

3. Fatigue tests at various stress ratios R at 293 & 77 K

R = ratio of min. stress to max. stress

4. Evaluation using the modified Goodman diagram

5. Summary

Effect of stress ratio on high-cycle fatigue properties

of Ti-6Al-4V ELI alloy forging at low temperature

Page 3: Effect of stress ratio on high-cycle fatigue …Evaluation using the modified Goodman diagram 5. Summary Effect of stress ratio on high-cycle fatigue properties of Ti-6Al-4V ELI alloy

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529L/sec

Liquid hydrogen(20 K)

LE-7A engine

ⒸJAXA

Inducer

Impeller

42,000 rpm

Liquid hydrogen turbo pump

ⒸJAXA

- typical (a+b) type titanium alloy

- high specific strength

- popular (low cost)

- high strength @cryogenic temp.

Ti-6Al-4V ELI alloy

Important ! Understand the effect of stress ratio

(mean stress) on high-cycle fatigue

properties at cryo. temp.

Japan Aerospace Exploration Agency (JAXA) – NIMS (2000~) Evaluate the mechanical properties of metallic materials used in liquid-fuel engines for Japan's H-IIA and H-IIB

launch vehicles - to increase the reliability of the Japanese launch vehicles - to accumulate fundamental data for developing a future launch vehicle engine

Background Effect of stress ratio on high-cycle fatigue properties

of Ti-6Al-4V ELI alloy forging at low temperature

Page 4: Effect of stress ratio on high-cycle fatigue …Evaluation using the modified Goodman diagram 5. Summary Effect of stress ratio on high-cycle fatigue properties of Ti-6Al-4V ELI alloy

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Modified Goodman line

 

sw = sw 0 1-sm

sB

æ

è ç

ö

ø ÷

sw0 : Fatigue limit at R = −1

(zero mean stress)

sB : Tensile strength

Endurance limit diagram → Relationship betwee fatigue limit σw and mean stress σm

Dangerous side

Endurance limit diagram

Mean stress σm

Modified Goodman line Safe-side evaluation

Str

ess a

mp

litu

de, σ

a

sw0

sB

Effect of stress ratio on high-cycle fatigue properties

of Ti-6Al-4V ELI alloy forging at low temperature

Page 5: Effect of stress ratio on high-cycle fatigue …Evaluation using the modified Goodman diagram 5. Summary Effect of stress ratio on high-cycle fatigue properties of Ti-6Al-4V ELI alloy

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What we did in this research ① Fatigue tests under various stress ratios at 293 and 77 K for Ti-6Al-4V ELI

alloy forging ② Evaluation of the effect of the stress ratio on the high-cycle fatigue properties

using the modified Goodman diagram

Effect of stress ratio on high-cycle fatigue properties

of Ti-6Al-4V ELI alloy forging at low temperature

Frederic S. Cohen et al., Fatigue Behavior of Titanium Alloys, (2007), p.39-46, Ti-

6Al-4V Normal, bar or rod, RT, Fatigue Strength at 107 cycles

E. Takeuchi et al. Tetsu to Hagane, vol.96, (2010), p.36-41, Ti-6Al-4V Normal,

bar, RT, Fatigue Strength at 107, 108 and 1010 cycles

The modified Goodman line for Ti-6Al-4V alloy enters the dangerous side near R = 0 at RT !!

Page 6: Effect of stress ratio on high-cycle fatigue …Evaluation using the modified Goodman diagram 5. Summary Effect of stress ratio on high-cycle fatigue properties of Ti-6Al-4V ELI alloy

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OUTLINE

1. Background

2. Experimental procedures

3. Fatigue tests at various stress ratios R at 293 & 77 K

R = ratio of min. stress to max. stress

4. Evaluation using the modified Goodman diagram

5. Summary

Effect of stress ratio on high-cycle fatigue properties

of Ti-6Al-4V ELI alloy forging at low temperature

Page 7: Effect of stress ratio on high-cycle fatigue …Evaluation using the modified Goodman diagram 5. Summary Effect of stress ratio on high-cycle fatigue properties of Ti-6Al-4V ELI alloy

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Experimental procedures

Forging and Heat Treatment Process

Constituents: a and b phases

- Equiaxed a grains

- b exists along the a grain boundaries.

20 mm

Chemical compositions (mass%) Aerospace Material Specification 4930E

Titanium Alloy Bars, Wire, Forgings, and Rings, 6Al - 4V, Extra Low Interstitial, Annealed

Al V Fe H O N C Ti

6.16 4.18 0.22 0.0042 0.09 0.006 0.01 bal.

6.18 3.93 0.17 0.0067 0.11 0.007 0.01 bal.

Max 6.50 4.50 0.25 0.0125 0.13 0.05 0.08

Min 5.50 3.50 - - - - -Requirement

Top

Bottom

bal.

Casting

Hot forging

Annealing in vac.

at 720℃-2 hrs

F.C.

Hot forging

at 920℃

a+b

b

Effect of stress ratio on high-cycle fatigue properties

of Ti-6Al-4V ELI alloy forging at low temperature

Page 8: Effect of stress ratio on high-cycle fatigue …Evaluation using the modified Goodman diagram 5. Summary Effect of stress ratio on high-cycle fatigue properties of Ti-6Al-4V ELI alloy

High-Cycle Fatigue test

- Temperature: 77 and 293K

- Load control, Uni-axial loading, Sinusoidal waveform

- Stress ratio: R = -1, 0.01, 0.5 and σmax=σ0.2 test

- Frequency: 10 Hz

Experimental procedures

Str

ess,

s

smean

smax

smin

Number of Cycles

smax= s0.2

sa

R= smin

smax =

s0.2 - 2 sa

s0.2

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- Temperature: 77 and 293K

- Crosshead speed: 0.5 mm / min

- Initial strain rate: 2.2×10-4 /s

Tensile test

300 mm

20

0 m

m

Tangential (radial)

Effect of stress ratio on high-cycle fatigue properties

of Ti-6Al-4V ELI alloy forging at low temperature

(×1.7) (×1.6)

HV305@RT

Tensile properties

Page 9: Effect of stress ratio on high-cycle fatigue …Evaluation using the modified Goodman diagram 5. Summary Effect of stress ratio on high-cycle fatigue properties of Ti-6Al-4V ELI alloy

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OUTLINE

1. Background

2. Experimental procedures

3. Fatigue tests at various stress ratios R at 293 & 77 K

R = ratio of min. stress to max. stress

4. Evaluation using the modified Goodman diagram

5. Summary

Effect of stress ratio on high-cycle fatigue properties

of Ti-6Al-4V ELI alloy forging at low temperature

Page 10: Effect of stress ratio on high-cycle fatigue …Evaluation using the modified Goodman diagram 5. Summary Effect of stress ratio on high-cycle fatigue properties of Ti-6Al-4V ELI alloy

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Results of Fatigue tests

(a) R = -1 (b) R = 0.01

(c) R = 0.5 (d) σmax=σ0.2

sR=-1

1.5 sR=-1

sR=0.01

1.2 sR=0.01

sR=0.5

1.1 sR=0.5

0.85 ss max

R=0.4

0.7 0.8

0.5

0.6

0.75

0.65 0.55

R=0.4

0.7

0.8

0.5

0.6

0.75

0.85 1.7 ssmax

Effect of stress ratio on high-cycle fatigue properties

of Ti-6Al-4V ELI alloy forging at low temperature

(×1.7) (×1.6)

Page 11: Effect of stress ratio on high-cycle fatigue …Evaluation using the modified Goodman diagram 5. Summary Effect of stress ratio on high-cycle fatigue properties of Ti-6Al-4V ELI alloy

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OUTLINE

1. Background

2. Experimental procedures

3. Fatigue tests at various stress ratios R at 293 & 77 K

R = ratio of min. stress to max. stress

4. Evaluation using the modified Goodman diagram

5. Summary

Effect of stress ratio on high-cycle fatigue properties

of Ti-6Al-4V ELI alloy forging at low temperature

Page 12: Effect of stress ratio on high-cycle fatigue …Evaluation using the modified Goodman diagram 5. Summary Effect of stress ratio on high-cycle fatigue properties of Ti-6Al-4V ELI alloy

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Ti-6Al-4V ELI forging Fatigue Strength at 107 cycles

RT 77 K

R=-1

R=0.01

R=0.5

R=0.85

(smax=s0.2)

Modified

Goodman line

(77 K )

sB (77 K)

1370 MPa

sB (RT)

833 MPa

Modified

Goodman line

(RT)

RT: Deviations of σa below the modified Goodman line in the R=0.01 and 0.5 tests.

77K : Larger deviations of σa below the modified Goodman line were confirmed in the R=0.01 and 0.5 tests.

Effect of stress ratio on high-cycle fatigue properties

of Ti-6Al-4V ELI alloy forging at low temperature

HCF strength of the present alloy forging exhibit an anomalous mean stress dependency

at both temperatures and this dependency becomes remarkable at low temperature.

Modified Goodman diagram

Page 13: Effect of stress ratio on high-cycle fatigue …Evaluation using the modified Goodman diagram 5. Summary Effect of stress ratio on high-cycle fatigue properties of Ti-6Al-4V ELI alloy

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Effect of stress ratio on high-cycle fatigue properties

of Ti-6Al-4V ELI alloy forging at low temperature

20 mm 20 mm

77 K, σa=200 MPa, Nf=5,424,304, R=0.01 77K, σa=127.5 MPa, Nf=4,768,804, σmax=σ0.2, R=0.8

20 mm

Fracture surface

Page 14: Effect of stress ratio on high-cycle fatigue …Evaluation using the modified Goodman diagram 5. Summary Effect of stress ratio on high-cycle fatigue properties of Ti-6Al-4V ELI alloy

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CI>0.2

z x

y

Fatigue crack

initiation site

tilted by 70 degree

for EBSD analysis

Facet is (0001)

basal plane.

SEM-EBSD analysis -Specimen fatigue-tested at 20 K

Page 15: Effect of stress ratio on high-cycle fatigue …Evaluation using the modified Goodman diagram 5. Summary Effect of stress ratio on high-cycle fatigue properties of Ti-6Al-4V ELI alloy

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Summary Effect of stress ratio on high-cycle fatigue properties

of Ti-6Al-4V ELI alloy forging at low temperature

0

100

200

300

400

500

0 300 600 900 1200 1500 1800

Str

ess A

mp

litu

de

, s

a /

MP

a

Mean Stress, sm

/ MPa

Ti-6Al-4V ELI forging Fatigue Strength at 107 cycles

RT77 K

R=-1

R=0.01

R=0.5

R=0.85

(smax=s0.2)

Modified

Goodman line

(77 K )

sB (77 K)

1370 MPa

sB (RT)

833 MPa

Modified

Goodman line

(RT)

- HCF strength of Ti-6Al-4V ELI forging

exhibit an anomalous mean stress

dependency at 293 and 77 K.

- This dependency becomes remarkable at low temperature.

Future works

1. The mechanism of the anomalous mean stress dependency.

2. Endurance limit diagram instead of modified Goodman diagram.

Page 16: Effect of stress ratio on high-cycle fatigue …Evaluation using the modified Goodman diagram 5. Summary Effect of stress ratio on high-cycle fatigue properties of Ti-6Al-4V ELI alloy

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Str

ess,

s smean : mean stress

smax

smin

Time

sa : stress amplitude

R = smin

smax

smax - smin

2

Stress ratio Mean stress

smax + smin

2 smean= =

sa=

(1+R ) sa

(1-R )

Page 17: Effect of stress ratio on high-cycle fatigue …Evaluation using the modified Goodman diagram 5. Summary Effect of stress ratio on high-cycle fatigue properties of Ti-6Al-4V ELI alloy

参考データ: Frederic S. Cohen et al., Fatigue Behavior of Titanium Alloys,

(2007), p.39-46, Ti-6Al-4V Normal, bar or rod, RT, Fatigue Strength at 107 cycles

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Anomalous mean stress dependency in Ti-6Al-4V

414 MPa

483 MPa

345 MPa

1241 MPa 1103 MPa 965 MPa

Page 18: Effect of stress ratio on high-cycle fatigue …Evaluation using the modified Goodman diagram 5. Summary Effect of stress ratio on high-cycle fatigue properties of Ti-6Al-4V ELI alloy

Anomalous mean stress dependency in Ti-6Al-4V

参考データ: Frederic S. Cohen et al., Fatigue Behavior of Titanium Alloys,

(2007), p.39-46, Ti-6Al-4V Normal, RT, Fatigue Strength at 107 cycles

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Page 19: Effect of stress ratio on high-cycle fatigue …Evaluation using the modified Goodman diagram 5. Summary Effect of stress ratio on high-cycle fatigue properties of Ti-6Al-4V ELI alloy

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Ti-6Al-4V ELI forging Fatigue Strength at 107 cycles

RT 77 K

R=-1

R=0.01

R=0.5

R=0.85

(smax=s0.2)

Modified

Goodman line

(77 K )

sB (77 K)

1370 MPa

sB (RT)

833 MPa

Modified

Goodman line

(RT)

Page 20: Effect of stress ratio on high-cycle fatigue …Evaluation using the modified Goodman diagram 5. Summary Effect of stress ratio on high-cycle fatigue properties of Ti-6Al-4V ELI alloy

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(a) Ti-6Al-4V ELI forging

Fatigue Strength at 107 cycles

RT 77 K

Modified Goodman line

RT 77 K

R = -1

R = 0.01

R = 0.5

R = 0.85

(smax = s0.2)

R = 0.01

R = 0.8 (smax = s0.2)

R = 0.5

R = -

1

(b)Ti-5Al-2.5Sn ELI forging []

Fatigue Strength at 107 cycles

RT 77 K

Modified Goodman line

RT 77 K

Effect of stress ratio on high-cycle fatigue properties

of Ti-6Al-4V ELI alloy forging at low temperature