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(1)

HELEN T. CONLEY

SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE

DEGREE OF BACHELOR OF SCIENCE

at the

MASSACHUSETTS INSTITUTE OF TECHNOLOGY

May 1980

© Massachusetts Institute of Technology

| Signature redacted

Signature of Author _

a Kejartment of Mechanica) Engineerin

Sj t dacted May 3.1950

ignature redacted ™

Certified by oo BN

lr RAP 2" Robert 0. Ritchie

Signature redacted Tess Supervisor

Accepted by —

. ve

| / Chairman, Department Committee

ARCHIVES

SST

(2)

by

AN ACCELERATED XIsac TEST FOR

HIGH-STRENGTH STEELS IN HYDROGEN

HELEN T. CONLEY

Submitted to the Department of Mechanical Engineering on May 9, 1980 in partial fulfillment of the requirements for the Degree of Bachelor of Science in

Mechanical Engineering

ABSTRACT

An accelerated method was used to estimate the threshold

stress intensity, Kisco, for crack growth under sustained loads in

gaseous hydrogen, for a 300-M ultrahigh-strength steel, tempered for

1 hr. at 300 °C. The method consists of a one-hour test, in which

the load is applied monotonically to a compact tensile test specimen

in a hydrogen gas environment. The test was conducted at room

temperature with the gas at a pressure of 138 kPa (20 psig). The load was ramped linearly, so that the stress intensity ranged

approxitately from 0 to KIc over a period of one hour

(KR = 1.1 MPaTm/min = 1.0 ksiTin/min). By this accelerated method,

called a rising load Krsge test, KIiscc was found to be 34.4 MPaim

(31.3 ksifin). This method overestimated Kiscc by 85%. A better estimate might be obtained if the loading rate was slower (perhaps

K = 0.1 MPa m/min).

When used in Wei and Landes superposition model, the

rising load KiscC value did not adequately predict the fatigue

crack growth behavior in a gaseous hydrogen environment, for load

ratios, R, of 0.05 and 0.30, at 50 Hz.

Thesis Supervisor: Robert O. Ritchie

(3)

I would like to thank the M.I.T, Mechanical Engineering

Department, especially Professor Robert 0. Ritchje and John

Toplosky, for all their help and guidance throughout this project.

I would also like to thank Professor Stanley S., Backer for his encouragement and support while I've been at M.I.T.

(4)

Pag.

TABLE OF CONTENTS

a

ABSTRACT... | Ceeee. E

ACKNOWLEDGEMENTS. ovo veeeees aerveenernecaaennrneneneananenen 3

TABLE OF CONTENTS. enue i eiveeaeiaanrenennensanoneaenns 4

LIST OF FIGURES .uvueervurterenenenenenenenenennnenanenenes ©

1. INTRODUCTION... Cece ier eeeeee.. 8

> THE RISING LOAD METHOD OF DETERMINING Kisegrrorrrmrenees 12

2.1 Summary of Method. .... cover iiineeirnnennnnn 12

2.2 Specimen Configuration, Dimensions and Preparation.. 12

2.3 The Fatigue Crack... ‘es A

2.4 Calibrating the Clip Gage...cvveerveererneeenneea. 14

2.5 The Kic Test Procedure. ...cociiiievicnncanacennss 16

2.6 Calculating STILEERERES vié Einuiibdenenvszies IB

2.7 The Kisce Test Procedure...cvet-. 4 0

2.8 Calculating the Rising Load Kigegerorrrrrrrrmrnnenns 21

2.9 Accelerated Test Results and Discussion... 21 The Superposition Model for High-Strength Steels... 32

3.1 Wei and Landes Superposition Model... . .. ... 32

3.2 Using the Accelerated K Test to find the

Environmental Contributigh’ to the Superposition

CUPVE. teeters imieeeaeine eine eeeeee. oo. 36

(5)

REFERENCES « «+ ve eevee ee eee eee eee ee eee eta BT

APPENDIX A: EVALUATION OF f(a/W) in Equation 2... B53

APPENDIX B: CALCULATION OF Ki(vueveonrvenarneranarnennnnnnnen. 54 APPENDIX C: CALCULATION OF Kigppeessenesnenrnnenrnannsneaeancns 56

(6)

VG. Po

5

LIST OF FIGURES

2s “age

1 The Superposition Model for High-Strength Steels... 11

Z Standard Compact Tensile Test Specimen (1)... 13

’ Standard Compact Tensile Test Specimen Modified To

Measure Kimeeeeeeeeeeeni none vin cvinonecnnanc:naaa 15

IC

l Specimen Mounted in MTS Machine for Kisce Test... 17

3 Principal Types of Load-Displacement Records... 18 6 Test Record of Accelerated Kisee Test and Kic Test.... 26

” Scanning Electron Micrograph of K C Test Specimen

(Magnification of 3000x). Fracture by Microvoid |

COATES CENCE. teeter ears ren creatine eeeeeae.

Scanning Electron Micrograph of Rising Load K C

Test Specimen (Magnification of 1000x). Fract pg

by Intergranular Cleavage Along Prior-Austenite

Grain Boundaries... eee eins iveniarerionnennnnenncrneas 29

9 Effect of Loading Rate on Apparent Kise (14)... 31

10 Typical Crack Growth Curves for High Strength Steels.... 38 11 Schematic Diagram Showing Regimes of Hydrogen- .

Assisted Growth (9) ..vevnr tienen ii ii iiiereenenann. iP

12 Schematic Diagram Illustrating the Suggested Methods

of Analysis. (a) Stress Intensity Spectrum in Fatigue

(top left); (b) Rate of Crack Growth Under Sustained

Load in Aggressive Environment (top right); (c)

Environmental Contribution to Crack Growth in Fatigue

(bottom left); and (d) Integrated Effects of

Environ-mental and Mechanical Effects (3).everenrens ov eewene.on 3

13 One Load Cycle. ene enve ones tier eter eoennaoannanonens 38

14 Sustained-Load Crack Growth in AISI 4340 Steel

(Tempered at 204°C) in Dehumidifed Hydrogen a3

at 133KPa. (15). iieii iii ities ir iireannnnannannns

(7)
(8)

CHAPTER 1: INTRODUCTION

An understanding of the fatigue crack growth behavior of

high-strength steels in a corrosive gaseous hydrogen environmen: ¢s im-portant in many applications. Plans for coal gasification pressure

vessels require material that can withstand cyclic loading. high

pressures, and a highly corrosive hydrogen environment. Carrcsive

fatigue is also important in the design of offshore driiiing

plat-forms because of the hydrogen produced by electrochemical reaction between iron and seawater. Cracks initiate and propagate from

material flaws. It is safe to assume that flaws exist and that scre-where a crack will initiate. It is then important to know how fast

the crack will propagate so that inspections can detect cracks

be-fore they lead to eventual fracture.

Kisce is the plane-strain stress intensity factor below which

an existing crack will not grow due to stress corrosion. A standard Kisco test consists of applying a constant load for typically 1,000 hrs. in the corrosive environment. The stress intensity below which no cracks will propagate, at least over the 1.000 hr. period, is taken to be K;c... This test does not, unfortunately, produce re-liable results for use in all designs. Values of Kisee Will vary, ge-pending upon the patience of the experimenter. Table ] shows values

of Kisce varying with the length of the test.

(9)

Tes™ ' .me Apparent :.

MPalm keiliin

ro es oo 179 TT

1,000 127 115

10,000 oo 28 100 LJ 7 art 28

(10)

-predict the crack growth behavior in cyclic loading. A method is needed to predict the cyclic crack growth behavior in hydrogen, and one that will take less time than the 1,000 hrs. of the

standard Kisce test.

Wei and Landes (1969) have proposed a superposition method of

determining the fatigue crack growth behavior of high-strength steels in hydrogen, at stress intensities above Kiscel3) This

method consists of superimposing the cyclic crack growth curve in air with a monotonic crack growth curve in hydrogen to predict the

cyclic crack growth curve in hydrogen (Fig. 1).

To shorten testing time, this project seeks to evaluate

whether an accelerated Kiscc test, called a rising load Kise test,

can be used to determine the monotonic environmental contribution

(11)

“SGU |

a |

dt

L v =.

wtf

(12)

CHAPTER 2: THE RISING LOAD METHOD OF DETERMINING Kicpe

2.1 Summary of Method

In a Ke test a cracked specimen is loaded linearly and a plot is obtained of the load vs. crack tip opening displacement (COD). A rising load Kisce test follows the same specifications and pro-cedure as the Kic test except, the specimen is placed in the corrosive environment prior to, and during loading, and a slower rate of loading

is required. Ki. is calculated according to ASTM standards (1) from

the test record. Kisec 18 then determined as the stress intensity at which the hydrogen curve deviates from the Kic curve.

2.2 Specimen Configuration, Dimensions, and Preparation

A compact tensile test specimen (Fig. 2) is used if it meets the specifications of the ASTM standards (1), so that the correl--ations between load and COD, based on linear elastic stress analysis, may be used. The specimen thickness, B, and the crack length, a,

must exceed 2.5 (K;o/oyc)®s where oye is the 0.2% offset yield

strength of the material for the temperature and loading rate of the test. This is to ensure that conditions of plane-strain exist at the crack tip by making sure that all significant dimensions are much larger than the plastic zone size. The crack length, a, must be nominally equal to the thickness, B, and must be between 0.45 and 0.55 times the depth, W. The crack-starter slot configuration must lie

(13)

Shu

Fatigue Crack fnot less than)

.05a

not less than J oe V4 .05 in / GW + 078 27 5W

BOsW

< Ak +,005W! v b OW + .005W | k FW +.0°7 WwW in oo W + .005W Sa

(14)

within the envelope, as shown in Fig. 2. To facilitate fatigue cracking at low levels of stress intensity the notch root radius should be 0.08mm or less. The specimen should be cleaned and

polished in the area around the notch where the crack will propagate.

2.3 The Fatigue Crack

A fatigue crack is to be extended from the notch at least 0.05 in. (1.3mm), in accordance with the above. During the last stage of the fatigue crack extension, for at least the terminal 2.5% of the overall length of notch plus crack, the ratio of the maximum

stress intensity of the fatigue cycle to the Young's modulus,

. 1/2 1/2

Kemax/ Es shall not exceed 0.002 in (.0032m'"“). Also, Kfmax

should not exceed 60% of the Kic value determined in the following Kic test. The stress intensity range should be not less than 0.9

“fma *

A fatigue crack is grown to ensure a small crack tip radius and thus a small plastic zone size at the crack tip. Then the equations developed from linear elastic stress analysis will be valid.

Knife edges are glued to the notched side so that the clip gage can be attached to measure the COD (Fig. 3).

2.4 Calibrating the Clip Gage

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{

Clip Gage | (

(Ex tensome ter)

Qutput on

VoltsFa BA

Knife |W

Edges

|

Tw

Figure 3. Standard Compact Tenslle Test Specimen Modified

(16)

expected COD. This should be done twice to check for resettability. A record should be kept of the output voltage as a function of

dis-placement.

2.5 The Kic Test Procedure

The specimen is mounted on the MTS (Materials Testing System) machine with a clevis and pin arrangement at both the top and bottom of the specimen, to allow rotation as the specimen is loaded (Fig. 4) A clip gage is attached between the knife edges. The MTS is pro-grammed to linearly increase the load. When the test is initiated the x-y recorder plots the load vs. clip gage voltage (proportional to the COD, which is proportional to the crack length, a). When the specimen fractures, the clip gage is removed.

2.6 Lalguloting Kic

To determine Kio the stress intensity at wnich the crack be-gins to grow, it must be determined whether the deviation from the linear elastic region of the test record is due to plasticity or crack growth; then at this point on the curve, knowing the load, P, and the COD (proportional to the crack length, a), Kic can be calcu-lated. The ASTM procedure is as follows:

Figure 5 shows a sample test record.

(17)

Pin

Compact Tensile

Test Specimen

Hydrogen

Supply

Clip Gage

Qutput {nd Hydrogen

Voltage_ Chamber

- 11

Grips — Universal Joint

(18)

[ ¥

LOAD, | C

CTYPE1 J TYPE TI eR

A fo [fo

(19)

to Pe if the load at every point on the record which

pre-cedes Py is lower than Pg (Type 1 in Fig. 5). If the

maximum load preceeds Pg then, Pq = Pn

The ratio Prax’ Pq is calculated, where Pas is the maximum

load that the specimen was able to sustain. If Prax’ Pg is less than or equal to 1.10, then the test is valid. If not, the elastic stress analysis cannot apply. The specimen

geometry should be changed according to (1).

The crack length, a, is measured to the nearest 0.5% at five positions, at the center of the crack front, midway between the center and both sides, and at both ends. The average crack length is used in the calculations for Kic-If the difference between any two of the crack length

measurements exceeds 5% of the average, or if any part of the crack front is closer to the machined notch root than

5% of the average crack length, or 0.05 in. (1.3mm) minimum,

then the test is invalid.

Kic (in units of psivin) is calculated from the following

(20)

or. lL Nhere.

Ke = (Pg/BH' 7%) 29.6 (a/W)V/2 - 185.5 (au)?

+ 655.7 (a/M)®/2 - 1017.0 (a/w)’/? (1.)

+ 638.9 (a/u)”/?

-= I's salle [2

Kic = LPq/BW 1 f(a/W) 2.)

f(a/W) = polynomial function of a/W evaluated in Appendix A.

c

5. Calculate 2.5 (Kie/oys)

If this quantity is less than both the thickness, B, and the crack length, a, of the specimen then the test is invalid. In this case, refer to the ASTM Standards (1) for geometry changes that may produce

a valid test.

2.7 The Kisce Test Procedure

The specimen configuration, dimensions, and preparation are the same as those for the Kic test (Sec. 2.2).

The specimen is mounted on the MTS, like in the Kic test, but an environmental chamber is fitted over the crack tip (Fig. 4). The air is flushed out of the system and the chamber is pressurized to

(21)

K = 1.1 MPavin/min (1.0 ksivin/min). The Kc.. test is plotted on the same record as the Kic test. When the specimen fractures the clip gage and environmental chamber are removed. For high-strength

steels, intergranular cracking along prior austenite grain boundaries

is often indicative of hydrogen embrittlement (13). The fracture

surface should be examined; if the fracture mechanism was not

affected by the hydrogen throughout the test, the loading rate, K, was much too fast, and the test should be repeated at a slower

K

2.8 Cateulating the Rising Load Kisce

The Kisce curve is plotted over the Kic test record; the deviation from the Sh curve can be attributed to stress corrosion

cracking. The point where deviation begins corresponds to Kisces

which is then calculated using Eq. 2.

2.9 Accelerated Test Results and Discussion

An accelerated Kisee test was run on a 300-M

ultrahigh-strength steel, tempered for 1 hr. at 300°C. This steel is a silicon modified AISI 4340 steel used in the aircraft industry

(22)

; N 51 5 p \

(vacuum-arc remelted). Its composition is as follows (wt.%):

c Mn Cr Ni Mo wr ’

0.42 0.76 0.76 1.76 0.41 1.59 0.002 0.007 0.10

It has essentially the same composition as AISI 4340, with 1.4% of silicon added. Ritchie (2) has found the addition of silicon de-creases Region II stress corrosion crack growth rates, but does not

change Kisco (as measured by the standard method). Table 2 shows

the mechanical properties of the specimen. Table 3 gives the dimensions of the test specimen.

The specimen was prepared as described in Section 2.2.

Table 4 gives the actual displacement measured by the clip

gage as a function of its output voltage.

Figure 6 shows the Kic test record. Kic was calculated

according to Sec. 2.6; calculations are in Appendix B. Kic was found to 62.9 MPavm(57.2 ksiv/in). Fracture was by microvoid

coalescence (Fig. 7).

For the first rising load test in gaseous hydrogen, the load was ramped so that the stress intensity would range approxi-mately from 0 to K;. in 10 min. (K = 6.5 MPavm/min. =

5.9 ksiv/in/min). Examination of the fracture surface showed very little intergranular cleavage, suggesting that the hydrogen did

(23)

Monotonic Yield Stress =~ 1737 MPa

U.T.S. - 2005 MPa

To Elong.’ - 12

1. Measured on 25.4% mm gauge length

-- Ea

(24)

Table 3. Test Specimen Dimensions

- S cin n ’ ~t tot im

| Rig Spe Hen Bsc Specimen

47 in. Lb? in

2 .975 in. .983 in. J 1.969 in. 1.969 in.

(25)

Dispiacenent Thitzas Dispiacement Voltage

(in.) Jin. Li -10.01 , 283 -3.49

.193 -9.65 .288 -3.16

.198 -9.28 «293 -2.83

203 -8.93 «298 -2.52

.208 -3.58 .303 -2.18 .213 -3.24 . 308 *.85 .218 -7.90 313 :. 58 2273 -7.55 .318 -1.28 228 -7.20 .323 -1.00 2373 -5.85 .328 -0.98

.238 -6.51

L243 -6.16

20.8 -5.82

257 - 5.48 .258 -5.14

2673 ~-4,80

+268 bi 277 Ll 278 - 3,81 LBS . uti aA - "

(26)

0) _

1900 | |

1800 }- |

1700 | 300-ii High-Strength Steel

(Tempered 1 hr @ 300 C)

1600 |

1500 id 1400 +— Ky; Test

1300

1200 | : 1100 1

1000

f-900 |

xX Test 800 | ISCC |

a in Hydrogen)

CRS.

700’ |

600 + —~

500 L

400 L

300 I

web |

too Co

ok

Displacement (Volts)

(27)

Figure 7. Scanning electron micrograph of K1c test

speci-men (Magnification of 3000x). Fracture by microvoid coalescence.

(28)

The second test was run over a longer period of time; the

load was ramped so that the stress intensity would range

approxi-mately from O to Kia over a period of 1 hr.,

k = 1,1 MPa¥fi/min (1.0 ksiJin/min). The specimen was placed in

the hydrogen environment for 1 hr. before loading. Examination of

the fracture surface showed that the fracture mechanism was

inter-granular throughout (Fig. 8).

Figure 6 shows the test record for the second test in hydro-gen with the fracture toughness test record. This illustrates the

effect of hydrogen decreasing the threshold stress intensity at

which crack growth will occur.

saa was calculated according to Sec. 2.8. Calculations are shown in Appendix C. Ki... Was found to be 34.4 MPaim

(31.1 ksifin). Krgoo at @ static load for 100 hrs. in distilled was found to be 18.6 MPafm (2). A small difference between Ks soc in gaseous hydrogen and KIsco in distilled water was expected, however, the difference between these values is large enough to suggest that the rising load X1s0c test procedure overestimated

Ks for gaseous hydrogen.

Clark and Landes (1976), in evaluating rising load K;..q tosting in gaseous hydrogen, showed that the rising load K;... value varies with the loading rate, K. (14)

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Figure 8. Scanning electron micrograph of rising load Kise

Test specimen (magnification of 1000x)

Fracture by intergranular cleavage along prior-austenile grain boundaries.

(30)

Figure 9 shows that for a slower K a lower Kisce may be obtained. For the steel used in this project it would be advantageous to run

a rising load Kisco tests at a K of 0.1 MPavm/min (0.1 ksivin/min)

to see how much Kisce varies with loading rate.

Rising load Kisce data may also vary with temperature and

hydrogen gas pressure (14). This dependence will not be considered here since both the cyclic crack growth data and the monotonic crack growth data, to be used in the superposition model, were taken at the same temperature and pressure as the rising load Kisce test.

The rising Toad Kic.. (measured with K = 1.1 MPavm/min = 1.0 ksivin/min) will be used as an approximation for Kisce in

the superposition model. A rising load K;c.. at a Tower K

(31)

%

C

x : Qa. a. _4o =

. Long Time Test KIsce = 26 to 34 wet Tin

7 10

1 A.SA

Loading Rate, K, ksijin/min

Figure 9. Effect of Loading Rate on Apparent Krece (14)

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CHAPTER 3: THE SUPERPOSITION MODEL FOR HIGH-STRENGTH STEELS

3.1 Wei and Landes Superposition Model

The dominant mechanism of corrosion fatigue is governed by whether the cyclic stress intensity level is above or below the

threshold stress intensity value for hydrogen-induced crack growth

under static load, and by the stress ratio and cyclic frequency

em-ployed during the testing (11). Wei and Landes superposition model applies when the cyclic stress intensity exceeds Kisees A model

that also applies to stress intensities less than Kisce is the

Process Competition Model, (11).

The superposition model seeks to comprehensively treat

en-vironmentally enhanced crack growth under sustained load, "stress

corrosion cracking", as well as cyclic loading, "corrosion fatigue", as the same problem. Studies by Johnson, Hancock, and Wilner (5,6) suggest that the fracture mechanism is the same in both stress corrosion cracking and corrosion fatigue. They looked at the pre-dominant paths of fracture in a 18 Ni (250) maraging steel tested in dehumidified hydrogen and found them to be the same for both sustained load and cyclic load. While the cycling frequency was found to

affect the crack growth curve of this steel in hydrogen, it had no

effect in argon (an inert environment) (3). This evidence suggests

the frequency effect is due to the hydrogen environment, rather than

(33)

As a first approximation, the cyclic crack growth rate in hydrogen is considered to be the algebraic sum of these two compo-nents. The mechanical component is the fatigue crack growth in the absence of a corrosive environment. It is determined experimentally by running a cyclic test in an inert environment. Wei suggests that the environmental component may be determined from experimental

crack growth data under sustained loading in the appropriate environ-ment and the fatigue load profile would incorporate both the loading

variables (mean load, load amplitude, and wave form), and frequency.

Testing time would be considerably shortened if the accelerated

method of finding Kisce would be sufficient to determine the environ-mental contribution.

Figure 10 shows a typical crack growth for a high-strength steel in air, and an expected crack growth curve of a high-strength steel in hydrogen. The sharp acceleration in crack growth is

thought to be due to the environmental contribution. This region of accelerated growth varies with the frequency and with the load ratio. Figure 11 shows the factors that affect the hydrogen tribution to fatigue crack growth. If the environmental

con-tribution could be determined, then the cyclic crack growth curve in

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AIR (ys HYDROGEN

da

dN L } MR

(35)

an | Hydrogen Gas

.SC3

Ww on

,— Air (independent of Frequency)

Figure 11. Schematic Diagram Showing Regimes of Hydrogen-Assisted Growth. (4)

AK

(36)

where.

Figure 12 is a graphical presentation explaining how fre-quency and load ratio vary the amount of environmental contribution. Assuming that the crack length, a, is constant over one cycle, then the stress intensity factor varies linearly with the load (K is

proportional to the load, P, and the crack length, a). Figure 12a

shows the stress intensity over one cycle. Figure 12b shows a mono-tonic crack growth curve in hydrogen. Those portions of the loading

cycle above Kisee contribute to crack growth. Figure 12c shows the

environmental contribution to crack growth per cycle. Integration over time gives the environmental contribution. Figure 12d shows the superposition of the mechanical contribution and the environmental contribution.

3.2 Using the Accelerated Kisce Test to Find the Environmental

Contribution to the Superposition Curve

Figure 13 depicts the stress intensity varying sinusoidally

with time. At stress intensities above Kisce the crack will grow by

stress corrosion caused by the environment. To determine the time per cyclé, T, that K exceeds Kisce: K is expressed as a function of time,

K(t) = Kio + aK/2 + aK/2 cos [(2nf)t] .)

= frequency (cps)

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| Kisco! —

) wt log da/dt

. D.. LLI0rn

mental | Air (cyclic)

. Contris, .

da/dt | bution ; log Kix

,wrogen

(cyclic)

oo T “logaa/BN

Figure 12. Schematic diagram illustrating the suggested

method of analysis. (a) stress intensity

spectrum in fatigue (top left); (b) rate of

crack growth under sustained load in aggressive

environment (top right); (c) environmental

contribution to crack growth in fatigue (bottom left); and (4d) integrated effects of

(38)

9

K *

Bay f |

150C te,

Kin

(39)

tf ra 1% ahere, (5 ge Lee

Substituting K(b) into Eg. 3:

Kisce = Kip + AK/2 + AK/2 cos(2xfb) | 2

The total time per cycle, T, where K > Kise is equal to 2b. Solving

Eq. 5 for 2b = T:

_ 1

-T = 1/af cos~[2/AK(Kisee-Kin-AK/2)]2)

The load ratio, R, is defined as the ratio of Kain to Knax®

~ (

R Kin’ Knax 7.)

He.

Knax = the maximum stress intensity of the cycle.

The alternating stress intensity amplitude, AK, is

A = Kinax = Kin oo)

Manipulating Eqs. 7 and 8 yields,

Knax = AK/(1-R) ‘a.

= - h

(40)

Substituting Kin into Eq. 6,

T = 1/nf, {cos™ 2 [Kiepo/BK = (mom + 2)1} (10.) > ISCC T-R 2 oe

Table 5 lists T as a function of AK for f = 50 Hz at R=0.05, and

Table 6 for R=0.30.

Figure 14 shows Simmons, Pao, and Wei's (1978) sustained-load

crack growth data for a 4340 steel (oy = 1344 MPa = 195 ksi) in de-humidified hydrogen gas (Pus = 133 kPa = 19 psi). As discussed in Sec. 2.7, the 300-M steel is slightly more resistant to Stage II crack growth than AISI 4340. From Figure 14 it can be seen that for stress intensities greater than the threshold stress intensity, the

crack growth rate, da/dt, always exceeds 1074 mm/sec. A mean value

of the sustained load crack growth is approximately 8 x 107% mm/sec. ,

with the minimum crack growth data being 4 x 1072 mm/sec.

To estimate the total environmental contribution to the

fatigue crack growth rate per cycle, da/dN, the time per cycle, T, (K > Kisce) is multiplied by the mean sustained crack growth rate,

da/dt = 8x 107% mm/sec, to obtain da/dN:

da/dN = T x da/dt (11.)

Calculated values of da/dN due to the environment are also listed in Tables 5 and 6.

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260 020C

tT ” da/dN T da/dN

"Mpa fm) (sec) (mm/cycle) ‘sec) (oo oe )

20 . 0046 3.6L ~ 107" 2° .0075 6.00 x 107 30 | .0091 7.31 x 107% 25 | L003 2.72 x 107 .0103 8.21 x 107%

40 | . 0058 4,62 107% 0111 8.90 x 107%

bs | .0072 5.77 x 107% .0118 9.44 x 107

5 | .0083 6.60 x 107 .oizh 9.88 x 107

55 0.0091 7.25 x 107° 0128 1.03 x 107°

60 | . 0097 7.79 x TO 0132 1.06 x 107°

6c | .0103 8.2k x 107 013% 1.09 x 107

70 | .0108 8.62 x 107 0139 1.11 x 1072 ve 0112 8.9% x 107 olh2 1.13 x 1073 80 0116 9.26 x TO ,0144 1.15 x 107°

| 0 160x100 y 1.60 x 107° |

Table 5. T as f(AK) for KXX , R=0.05, f=50Hz, and

(42)

Jz Oh . 0200

Acs. hrgay = 34.4 Mpain Side ~ qq = 18.6Mpalm

Te when AK=24, 1Mpa /m Kov Brsce when AK=13.0¥pala

TL when A K=80, 3Mpa JT Kyo = Krggg When AK=43,4Mpa/m |

Using The Acc. K1sce Using The Std. Kisco

(Hoa B (Lec ) (und2He ) {edu ) (Sajal 1 )

TTT 005% TESI0.,

‘° .0100 “2 10

zn .0030 2.37 x 107% .0124 9.93 x 107%

29 | ,0071 5.71 x 107% 0142 1.14 x 1073 =r ,0093 7.45 x 107% .0159 1.27 x 1073 Wy .0109 8.71 x 107% .0176 1.41 x 1073 re 4 ,0121 9.71 x 107% ar 0132 1.06 x 107° - ,0142 1.17 x 1073 60. .0150 1.20 x 107° = .0159 1.2% x 107° pn . ,0168 1.7 x 1077 ce. 0178 1. = 1070 80 .0196 1,8 + 107°

| #200 1.60 x 1073 ; 1.60 x 107°

: |

Table 6. T as £{(AK) for KOK , R=0,30, f=50Hz, and

(43)

a

, 2 | ) !

» {

41 | " “ -ro £ AISI A340 . or Ds

Po oa

: Temp = 22°C

: 2 |

- | <

1072 | L Ll

30 40 50 60 70 80 Stress Intensity Factor (Mpa m)

Figure 14. Sustained-load Crack Growth in AISI 4340 Steel

( tempered at 204°C) in dehumidified Hydrogen

(44)

5.2 Results and Discussion of Using the Accelerated Kisce in the

Superposition oo

Figure 15 shows the cyclic crack growth data in air and hydro-gen gas for 300-M, tempered at 300°C, at a frequency of 50 Hz and load ratio, R, of 0.05. Figure 16 is the cyclic crack growth data

for a load ratio of 0.30 in gaseous hydrogen. It can be seen from

Figures 15 and 16 that, except for initiation, the data in hydrogen does not differ significantly from that of air, for AK less than 8MPavm (7.3 ksiv/in). Figures 17 and 18 show the crack growth curves estimated from the superposition model for alternating stress

in-tensities greater than 8 mPavm. The rising load Kisce values, when

used in the superposition model, predict the onset of stress cor-rosion cracking at higher AK's than in the data (Figures 15 and 16).

The standard method Kisce value, when used in the superposition model.

better estimates the onset of stress corrosion cracking but, as with

the rising load Kisce value, it does not accurately predict the

magnitude of the crack growth rates.

Ritchie showed that the sustained-load crack growth rates in water of 300-M were lower than those of AISI 4340 by approximately

a factor of 10, though both materials were of equal yield strength (2). This suggests that to evaluate the applicability of the superposition model for 300-M, tempered at 300°C, sustained load crack growth

(45)

; Be I 2h : i ur i ~ +? v

L 107% A &

3 i #1 Ho. . = ) 7 Rr a 1076 - A

— gE

of = _— =

& 1077 ¥

be ji g = «a 2 iy 2 6 7 8 10 ) ’

Alternating Stress Intensity

Figure 15. Cyclic Crack Growth Data For R=0.05 AK (MPafm)

(46)

~ Austenized at 870°C, oil quenched and tempered @ 300°C eo °° 7

: " Environment: dry hydrogen (138kPa pressure) at 23° © 4

: Frequency: 50Hz wn 5 ‘ - R = 0.05 LF H i -— R = 34 0 Bo E 10 4 J Co f— AE = ~ | Cw an’ r g. oP - - Sone -5 5 4 3 10 — . % a4 Z ws Cow r _ 9 5a — R=0.30= ;

f 0% F

| iY R=0.,05 etd— % L i— © bo § Qn + w - =

oo - . Threshold Kg

od yl

5 6 7 8 9 10 20 23 2

Alternating Stress Intensity, AK (Mpaim)

Figure 16. Cyclic Crack Growth Data for R=0.30

(47)

" ie

107° _

= Superposition Curve JE

nil a Fi

(Using Std. Kroon) Loe

- 3 Gc 5 v o “lf ~ . KE

10 = he LLIN Superposition Curve

. |

- a (using Acc Brean)!

Hay

©)

z | : -5 wo —! ge 10 ~ = Environmental Env. Cont.

E % Bogus Contribution (Ace. Kiann)

Fe (Std. Konnn)

oo “+ ICC S

710° |

& po . rj Cyclic Data in H, , R= 0.05

: a 7 Cyclic Data in air, R= 0,05

oy 1077 »

© -8 = o — wd — 0 =

& 8 |

AO | ed cep) _ Ee 7 8 9 10 25 30 3

Alternating Stress Intensity &K(Mpa[m)

(48)

Lh 0 —_— ¢ Superposition Curve

B 3 (Using std. Kran?

i nl E § ov © a 9 - a 3 3 — 7 VV ’

. Superposition

aa wi Curve (using

Acc. Kpgna)

Sol

= [bs «Env. Cont. : - Environmental

: (std. Krams) iy

- | KIsce

5 1078 V Cyclic Data in Air, R=0.05

«nt i

© Cyclic Data in H, y B=0.30

57

1078 | | [i |

y & 9 10 20 30 50

Alternating Stress Intensity AK(MPa ii)

(49)

hydrogen (Phyo = 138 kPa = 20 psig), for a 300-M ultrahigh-strength steel, tempered for 1 hr. at 300°C. This estimate was evaluated for use in the superposition model to predict the fatigue crack growth curves in a gaseous hydrogen environment. The Kisce was estimated to be 34.4MPavm(31.3ksivin). From this study the

following conclusions can be made:

| The rising 10ad Kigee test (kK = 1.1MPavii/min =

1.0ksiv/in/min) overestimated the Kisce (as determined

by the standard method) by 85%.

¢«. The estimated Kiscc did not adequately predict the cyclic crack growth curve in gaseous hydrogen of 300-M, tempered at 300°C, for load ratios of 0.05 and 0.30 at a cycling frequency of 50 Hz.

3. In the superposition model, the standard, static-load Kisce value predicted the onset of stress corrosion

cracking, but did not accurately predict the increase in crack growth rates for a load ratio of 0.05.

? The model might better predict the crack growth curves

(50)

(a) the rising load Kisce test was performed at

a lower loading rate; perhaps K = 0.1 MPavm/min.

(b) sustained load crack growth curves were obtained of 300-M (tempered at 300°C) in gaseous hydrogen.

(51)

"Ritchie, R.0,, Cedeno, M.H,, Zackay V,F., & Parker, E.R.,

"Effects of Silicon Additions and Retained Austenite on Stress

Corrosion Cracking in Ultrahigh Strength Steels", Met, Trans.,

Vol, 9A, Jan, 78, p. 35.

© Wei, R.P., & Landes, J.D,, "Correlation Between

Sustained-Load and Fatigue Crack Growth in High-Strength Steels", Mat. Res. & Stds., July 1969, p. 25,

"Hertzberg, R.W., Deformation andFracture Mechanics of

EngineeringMaterials, p. 382,

* Johnson, H,H., & Wilner, A.M., "Moisture and Stable Crack Growth

in a High Strength Steel, "Applied Materials Research, Vol. 4,

1965, p. 34,

& Hancock, G.G., & Johnson, H,H,, "Hydrogen, Oxygen, and Sub-Critical Crack Growth in a High Strength Steel”, Transactions,

Metallurgical Soc., Institute Mining, Metallurgical,& Petroleum

Engrs., April 1966,

Ritchie, R.0., "Near-Threshold Fatigue Crack Propagation in

Ultra-High Strength Steel: Influence of Load Ratio and Cyclic

Strength, J. of Engr. Materials& Technology, July 77, Vol. 99,

p., 195.

£ Toplosky, J., "On Fatigue Crack Growth of Short Cracks in 300-M

Ultra-High Strength Steel", S.B. Thesis, Mech. Engr. Dept.,

M.I.T., June 1979.

: Suresh, S., Moss, C.M., & Ritchie, R.0., "Hydrogen-Assisted

Fatigue Crack Growth in 2 1/4-Cr-1Mo Low Strength Steel",

Proceeding of Second Int'l Japan Inst. of Metals Symposium on

Hydrogen (JIMIS-2) Minakami Spa, Japan, Nov. 26-29, 1979.

1% Ritchie, R.0., "Influence of Impurity Segregation on Temper

Embrittiement and on Slow Fatigue Crack Growth and Threshold

Behavior in 300-M High Strength Steel"., Metal. Trans. A, Vol. 8A, July 77, p. 1131.

(52)

11. Austen, I.M,, & McIntrye, P., "Corrosion Fatigue of

High-Strength Steel in Low-Pressure Hydrogen Gas", Met. Sci,,

July 1979, p, 420,

12, Gerberich, W.W., & Chen, Y.T., "Hydrogen-Controlled Cracking

An Approach to Threshold Stress Intensity", Metal. Trans. A, Vol. 6A, Feb, 1975, p, 271.

13. Broek, D., Elementary Engineering Fracture Mechanics, Sijthoff &

Noordhoff, The Netherlands, 1973, p. 62.

14. Clark, W.G,, & Landes, J.D., “An Evaluation of Rising Load

K Testing", ASTM STP 610, 1976, p. 108,ISCC

15. Simmons, G.W., Pao, P.S., & Wei, R.P., "Fracture Mechanics and Surface Chemistry Studies of Subcritical Crack Growth In AISI

(53)

Ly ds w

fe o= 1, Lu " y

9. or

a/y | f(a/w) z #4] f(a/W)

0.450 8.34 n.505 9.75 0.455 8.45 0.510 9.90 0.460 8.57 0.515 10.05 0.465 8.69 0.520 10.21 0.470 8.81 0.525 10.37 0.475 8.93 0.530 10.54 0.480 9.06 0.535 10.71 0.485 9.19 0.540 10.89 0.490 9.33 0.545 11.07 0.495 9.46 0.550 11.26 0.500 © en

(54)

Lyd

APPENDIX B: CALCULATION OF Kic

1. Calculation of P

_ ——Q

The slope of the tangent to the initial linear portion of the load-displacement curve of Figure 6 is 1.39,

(P/V), = 1.39

Section 2.6.1 gives the relationship,

(P/V)g = .95(P/V) = .95(1.39) = 1.32

The intersection of the tangent line with the load-displacement

curve is at P = 1800kg. The load displacement curve is a Type I

curve (Fig. 5), therefore,

Pe = Pq = 1800kg = 396910

Checking to see if the test is valid;

Prax’ Pq = 1850kg/1800kg = 1.03 < 1.10,

therefore, the test is valid according to Section 2.6.2.

2. Calculation of Kic

Substituting the specimen dimensions in Table 3 and the

(55)

£(.495) = 9.51 .

From Eq. 2,

Kie = [Py/8H' 72] f(a/W) = [3968(1b)/(.47in)(1.969in)/2](9.51)

(56)

APPENDIX C: CALCULATION OF Kisce

From the load-displacement record of Figure 6, the load

at which the Kisce curve deviates from the Kic record is,

Pa = 980 kg = 2156 1b

Using the dimensions in Table 3 to find f(a/W) in Appendix C,

f(a/W) = £(.983in/1.968in) = f(.499)

Interpolating from the values in Appendix A,

f(a/W) = 9.57

From Eq. 2 Kisee is found to be,

- ; . 11/2

Kisce = [2156 1b/(0.47in)(1.968in)''~] (9.57)

Figure

Figure 1. The Superposition Model for High-Strength Steels
Figure 2. Standard Compact Tensile Test Specimen (1)
Figure 3. Standard Compact Tenslle Test Specimen Modified To Measure Ka
Figure 4. Specimen Mounted in MTS Machine for Kisco Test
+7

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