usaavlab s technica l repor t 66-9 fatigu e ... g. degnan peter d. dripchalc charles j. matusovich...

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USAAVLABS TECHN I CAL REPORT 66-9 FAT I GUE CRACK PROPAGAT I ON IN A I RCRAFT MATER I ALS By William G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT DA 44-177-AMC-84(T) SIKORSKY AIRCRAFT DIVISION OF UNITED AIRCRAFT CORPORATION STRATFORD, CONNECTICUT Distribution of this document is unlimited. j CL£AR!|\»G HO 'J SE i 2*02 FSUKtiAL SCIENTIFIC AMD TECHNICAL OT^RiVJ » T y ;. T hardcopy TMicrc-llone; r ~ " SZAA-IAZS:1 7/PP! aJ IMiJIF [fripty J-Jl I'i.'li I; eT-tt'-r ~

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Page 1: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

USAAVLABS TECHNICAL REPORT 66-9

FATIGUE CRACK PROPAGATION IN AIRCRAFT MATERIALS

By

William G. Degnan Peter D. Dripchalc

Charles J. Matusovich

March 1966

0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA

CONTRACT DA 44-177-AMC-84(T) SIKORSKY AIRCRAFT

DIVISION OF UNITED AIRCRAFT CORPORATION STRATFORD, CONNECTICUT

Distribution of this document is unlimited.

j CL£AR! | \»G HO 'J SE i 2*02 FSUKtiAL SCIENTIFIC AMD

TECHNICAL OT^RiVJ » T y ;.T

hardcopy TMicrc-llone; r ~ "

SZAA-IAZS:1 7/PP! aJ • IMiJIF [fripty J-Jl I'i.'li I;

eT-tt'-r ~ —

Page 2: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

Disclairrers

The findings in this report are not to be construed as an official Depart- ment of the Army position unless so designated by other authorized documents.

When Government drawings, specifications, or other data are used for any purpose other than in connection with a definitely related Govern- ment procurement operation, the United States Government thereby incurs no responsibility nor any obligation whatsoever; and the fact that the Government may have formulated, furnished, or in any way supplied the said drawings, specifications, or other data is not to be regarded by implication or otherwise as in any manner licensing the holder or any other person or corporation, or conveying any rights or permission, to manufacture, use, or sell any patented invention that may in any way be related thereto.

Trade names cited in this report do not constitute an official endorsement or approval of the use of such commercial haraware or software.

Disposition Instructions

Destroy this report when no longer needed. Do not return it to the originator.

Page 3: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

DEPARTMENT OF THE ARMY U S ARMY AVIATION MATERIEL LABORATORIES

FORT EUSTIS, VIRGINIA 23604

This program waa performed under Contract DA 44-177-AMC-84(T)

with Sikorsky Aircraft Division of United Aircraft Corporation.

The data contained in this report are the result of research

conducted to determine the fatigue crack propagation of air-

craft materials. Fatigue crack propagation tests as well as

fracture toughness and tensile tests have been conducted on

various aircraft materials, including steel, aluminum, titanium,

magnesiuii, and glass reinforced plastics.

The report has been reviewed by the U.S. Army Aviation Materiel

Laboratories and is considered to be technically sound. It is

published for the exchange of information and the stimulation

of future research.

Page 4: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

Task 1P1215901A14227 Contract DA 44-177 - AMC - 84(T)

USAAVLABS Technical Report 66-9 March 1966

FATIGUE CRACK PROPAGATION IN AIRCRAFT MATERIALS

Sikorsky Engineering Report Number SER-50411

By

William G. Degnan Peter D. Dripchak

Charles J. Matusovich

Prepared by

Sikorsky Aircrafc Division of United Aircraft Corporation Stratford, Connecticut

for

U. S. ARMY AVIATION MATERIEL LABORATORIES

FORT EUSTI3, VIRGINIA

Distribution of this document is unlimited,

Page 5: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

ABSTRACT

The Influence of metallurgical, chemical, and geometric variables on fatigue crack propagation rates was investigated in alloys of alu- minum, magnesium, steel, and titanium. Some limited fatigue crack propagation was done in laminated plastics. A possible correlation between fatigue crack propagation, fracture toughness, and tensile strength was also investigated.

All materials have been ranked according to their resistance to fa- tigue crack propagation. The critical plane strain fracture tough- ness (Kic), critical plane stress fracture toughness (KQ) (where applicable), ultimate tensile strength, and per cent elongation were also reported for all materials.

For the materials tested in this program, there was no appreciable thickness or chemical effect. Shot-peening did increase resistance to fatigue crack propagation. In general, there was an increase in tha resistance to fatigue crack propagation in materials with greater ductility. The correlation between fatigue crack propagation and static fracture toughness was very poor. The crack propagation results of laminated plastics was also considered unsatisfactory.

Further research is needed to determine the effect of steady and vibratory stresses on fatigue crack propagation. Research is needed to determine the relationship between fatigue crack propagation and fracture toughness parameters.

ill

.

Page 6: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

PREFACE

This report is submitted in accorcMure with United States Army Avia- tion Materiel Laboratories Contract Number DA 4A-177-AMC-84(T) , Investigation of Fatigue Crack Propagation in Aircraft Materials. Research was conducted from February 25, 1963 to August 31, 1965 in the contractor's test facilities located at:

Sikorsky Aircraft Division of United Aircraft Corporation Main Street, Stratford,Connecticut

The following personnel were directly associated with this research program:

Administrative Task Coordinator - Horace W. Bonnett Technical Task Coordinator - William G. Degnan Test Engineer - Peter D. Dripclak Test Engineer - Charles J. Matusovich

Authors of this report were:

William G. Degnan Peter D, Dripchak Charles J. Matusovich

Page 7: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

.'. <

r

BLANK PAGE

it

f

Page 8: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

1 CONTENTS

ABSTRACT iii

PREFACE v

LIST OF ILLUSTRATIONS vili

LIST OF TABLES x

LIST OF SYMBOLS xi

INTRODUCTION 1

EXPERIMENTAL PROCEDURE 2

EXPERIMENTAL RESULTS 22

FATIGUE CRACK PROPAGATION 22

FRACTURE TOUGHNESS TESTS 37

TENSILE TESTS 49

CONCLUSIONS 54

RECOMMENDATIONS 55

BIBLIOGRAPHY 56

DISTRIBUTION 57

APPENDIX 58

vii

Page 9: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

ILLUSTRATIONS

Figure

1

2

3

10

11

12

13

14

Fatigue Crack Propagation Specimen

Natural Fatigue Crack Flexure Machines ....

Fatigue Crack Propagation Test Setup on the IVY-12

Close-up of the Fatigue Crack Propagation Specimen in the IVY-12

Enlargement of One Frame of a Typical Film Strip

Schematic of the Monitoring System on the IVY-12

Typical Computer Print-Out of Stress Intensity Factor versus Crack Propagation Rate

Typical Computer Print-Out of Crack Length versus Number of Cycles ....

Typical Example of a Mean Curve of the Stress Intensity Factor versus Fatigue Crack Propagation Rate

Fracture Toughness Specimen

Compliance Gage

Fracture Tcvghness Specimen with Compliance Gage Installed

Fracture Toughness Test Setup in the Riehle Tensile Machine

Compliance Gage Calibration

Page

3

4

11

12

13

14

16

18

19

20

viii

Page 10: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

Figure Page

15 Typical Example of the Crack Length versus Cycles Curves 23

16 Effect of Shot-Peening on 4340 Steel 32

17 Chemical Effect Test Setup , 34

18 Corparison of Irwin and Greenspan Correction Factors 48

ix

Page 11: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

TABLES

Table Page

I Ranking of Materials at the First Stress Level 24

II Ranking of Materials at the Second Stress Level 26

III Ranking of Materials at the Third Stress Level 28

IV Probit Test Results for 181/150 Glass Cloth Laminates (Warp Direction) 35

V Fatigue Crack Propagation Test Stress Levels for Glass Cloth Laminates 36

VI Fracture Toughness Test Results 38

VII Tensile Test Results 50

Page 12: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

SYMBOLS

E modulus of elasticity in tension

e elongation (tensile) in a two-inch gage length

TT constant, equal to 3.141

|i Poisson's ratio, unit lateral contraction divided by unit longitudinal elongation

F^y 0.27o offset tensile yield strength

F^u ultimate tensile strength

psi pounds per square inch

ksi thousands of pounds per square inch

2a fatigue crack length (natural fatigue crack in fatigue crack propagation but includes length of machined slot in fracture toughness specimens)(see Figures 1 and 10)

2b, w width of specimen

K stress Intensity factor (psi/inch) of elastic stress field in the vicinity of the crack tip

G energy to propagate a crack (inch-pounds per iuch) or strain-energy release rate as the crack extends

Kxc critical stress intensity factor associated with initia- tion of unstable pl'vne-strain fracturing (stress inten- sity factor needed tc "tart a crack propagating under a static load)

Kc critical stress intensity factor associated with initia- tion of unstable plane-stress fracture (stress intensity factor needed to produce an unstable crack under a static load)

Gjc critical crack extension force associated with initiation of unstable plane-strain fracturing

xi

^yP

Page 13: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

L

Gc critical crack extension force associated with initiation of unstable plane-stress fracturing

0„ gross stress across uncracked cross-sectional area of fatigue crack propagation or fracture toughness specimens

A difference between successive readings (as in A(2a)/AN, crack propagation rate)

a evaluated geometric correction factor (crack length versus finite specimen width)

v vertical displacement of two points (one inch above and one inch below a crack under static load) as measured with a compliance gage

J Xll

Page 14: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

INTRODUCTION

Fatigue research on a systematic basis has been conducted since the first published works of WÖhler in 1860, Although many attempts have been made to develop a basic theory of the mechanism of fatigue, most researches have resulted chiefly in an accumulation of observations of the associated phenomena. For the present study, a logical division of fatigue crack initiation and crack propagation has been followed. Fail- safe design concepts require an intimate knowledge of crack propagation, or "cracked life".

A wide range of rotorcraft inspection intervals and methods exists, Intervals may range from one-half hour to one thousand hours; methods may range from a cockpit display to a full tear-down inspection. While past service experience remains an excellent guide to the choice of methods and intervals of inspection, knowledge of fatigue crack propa- gation mechanics serves as a method of comparison for the substitution of a new material for an old and as a design technique in making deci- sions in new design applications.

Recent researchers have shown a correlation between a material's notch toughness and its fatigue propagation rate. This research program was designed to explore this notch toughness relationship further, with the main aims:

1. To rank materials for their resistance to fatigue crack propagation.

2. To obtain a statistically reliable basis of test information on which to base further testing and comparisons.

3. To obtain corollary information from other mechanical test- ing (fracture toughness and tensile tests).

In this project, the stress intensity factor

K = a a /i

where a ^ + 2 (a/b)4

2 - (a/br- (a/b)4

if a < b

as originally proposed by Greenspan, Reference 5, was used for the data reduction.

<f

Page 15: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

EXPERIMENTAL PROCEDURE

Fatigue Crack Propagation Test Procedure

The specimen used in these tests is shown in Figure 1. The specimen was precracked by flexing over a sharp corner or between a pair of pre-loaded knife edges with an electric motor-driven Krouse eccentric head, Figure 2. The length of the pre-crack was controlled to approx- imately 1/2 inch by cementing small copper wires to the specimen at the desired crack end point. The wires were connected to an electrical relay that stopped the machine when the wire broke. This is known as the "micro-wire" or "fail wire" technique.

Fatigue crack propagation tests were conducted on both Wiedemann- iBaldwin IV-AF and IVY Company IVY-12 constant-load fatigue machines equipped with 5:1 load amplifiers, Figures 3 and 4. All load measure- ments were made using a calibrated load cell in series with the speci- men under test. In both the load cell calibration and the specimen test setup, an Ellis BA-12 bridge rjnplifier and a cathode-ray oscil- loscope were used to measure the output of the load cell. The overall limit of error of this entire system of measurement is estimated, con- servatively, as five percent.

Early research indicated that the greatest difficulty in measurement of crack length was the determination of the vanishingly small apex of the fatigue crack. This problem was solved through the use of birefringent plastic and circularly polarized light at an incident angle to the specimen of forty-five degrees. A specific interference pattern is found in the back-reflected light locating the apex of the fatigue crack with considerable accuracy and repeatability. (Suitable plastics, adhesives, and related accessory items are available commer- cially as "Photostress" from the Budd Company, Instruments Division, Phoenixville, Pa.) Figure 5 is a photograph of a fatigue crack propa- gation specimen taken from one of the film strips made during this research program.

In tests of plastic laminate specimens, shear failures of the adhe- sive used to bond the birefringent plastic to the specimen precluded the use of this method of locating the apex of the fatigue crack. In these cases, direct measurement of the crack length was made using the plastic laminate's characteristic opaque line in the vicinity of the crack.

Crack lengths were recorded by time lapse photography. The photo- graphic exposure rate was controlled by a timer at 1 frame each 10 seconds or 1 frame each 30 seconds. In addition, a series switch actuated by the rotating, unbalanced mass of the fatigue testing

Page 16: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

9* ROLLING DIRECTlON(WHERE APPLICABLE)

t t!l t t

NATURAL FATIGUE CRACK

APPROX. r Not» I

5 I II "

T ▼ ? ▼ ♦ T

Note 1: Birefringent Plastic Bonded to this Area Note 2: Five-Hole Bolt Pattern Drilled (Both Ends) for

Fatigue Machine Fittings. Note 3: Length of Initial Crack (2a) Ranged from 1/2 to 1

Inch

Figure I. Fatigue Crack Propagation Specimen

Page 17: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

Note 1: 1%-Horsepower AC Motor Note 2: Eccentric Head Note 3: Connecting Crank Note 4: Fatigue Crack Propagation Specimen Note 5: Knife Edges and Supports Note 6: Micro-wire not Visible in this Photograph

Figure 2. Natural Fatigue Crack Flexure Machines

4

Page 18: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

Note 1: Elapsed-Time Photographic Control Box Note 2: Part of the Monitoring System (See Figure 6) Note 3: 35 MM Single Frame Advance Camera Note 4: Upper and Lower Strobe Lights Note 5: Portion of the Fatigue Crack Propagation

Specimen (See Figure 4) Note 6: 5:1 Load Amplifier

Figure 3. Fatigue Crack Propagation Test Setup on the IVY-12

5

Page 19: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

Note 1: Fatigue Machine Fitting,Showing the Five-Hole Bolt Pattern

Note 2: Identification Card Attached to the Specimen Note 3: Millimeter Scale Attached to the Specimen Note 4: Birefringent Plastic Bonded to the Specimen Note 5: Photo Counter

Figure 4. Close-up of the Fatigue Crack Propagation Specimen in the IVY-12

6

Page 20: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

Note 1: Interference Pattern Indicating the Apex of the Fatigue Crack

Figure 5. Enlargement of One Frame of a Typical Film Strip

7

Page 21: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

machine timed the photographs to the maximum alternating load, so that each picture showed the most intense possible pattern in the birefringent plastic. Other interlocks, as shown in Figure 6, are:

1. Stroboscopic light monitor; stops test if either light fails to flash on two successive commands.

2. Film supply monitor; stops test when camera runs low on film.

3. Specimen failure monitor; stops test when specimen fails or reaches a pre-set elongation.

A. Power failure monitor; stops test in the event of power loss to any system.

The crack length versus time data was then reduced by projecting the developed film on a screen and measuring the crack, left and right of center, directly from the scale attached to the specimen. Initial length, taken as a zero or tare reading, was the frame just before the frame when first growth was noted. In this manner, the crack dwell* was controlled, ^h^. right and left crack lengths and film frame number were entered on an IBM coding form.

An IBM 7094 digital computer routine was then used to calculate the following:

1. Crack length for right, left, and total.

2. Total cycles of vibratory load from the zero or tare frame.

3. Stress intensity factor, K, (psi /inch) for the right, left, and total crack.

4. Crack propagation rate (microinches per cycle) for the right, left, and total crack.

The computer output was obtained as a printed record and was also obtained as e series of punched cards which were used in further

*Crack dwell occurs when the fatigue crack does not propagate even though the applied stresses are sufficient to cause propagation normally. Residual stresses from prior loading were sufficient in this case to prevent immediate fatigue crack propagation. C;:ack dwell can also occur on reducing applied stresses in random or pro- grammed testing or in propagating a fatigue crack away from a stress concentration factor.

8

Page 22: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

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Page 23: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

reduction and comparison of the data. The punched cards were used in three additional digital computer routines:

1. Plots of stress intensity factor versus fatigue crack propagation rate were obtained from an off-line plotter and a second computer routine (see Figure 7 for a typical example of this plot).

2. Plots of fatigue crack length versus number of cycles of vibratory load were obtained from the same off-line plotter and a third routine (see Figure 8 for a typical example of this plot).

3. On the plots of stress intensity factor versus fatigue crack propagation rate,a least-squares fit of the best fitting mean line was obtained for bouh the slow and fasc propagation portions of the test data by means of a fourth digital com- puter routine (see Figure 9 for a typical example). This series of calculations used standard mathematical techniques based on iteration procedures which started from up to eight trial transition points between slow and fast fatigue crack propagation. Results were obtained only in a printed output form which gave the best fitting transition point as well as the equations of both the slow and fast fatigue crack propa- gation lines and the coordinates of the end points for both lines.

Fracture Toughness Test Procedure

The experimental procedure followed in fracture toughness testing was patterned directly after recommended standard procedures*. The frac- ture toughness specimen is shown in Figure 10. The width dimensions of all specimens were the same as specimens used in fatigue crack propagation tests. Fracture toughness specimens were made from the same lots and heats of material and were taken in the same orienta- tion as the fatigue crack propagation specimens.

The center slot in the specimens was milled; rounded portions of the milled slot were filed square and notched with a power filing machine. Natural fatigue cracks were initiated at the ends of the notched slots in either an IV-4 or an IVY-12 constant load fatigue machine. Length of the cracks was controlled by the use of microwire, to obtain the 2.5-inch length shown in Figure 10.

*Recomi.;endations of the Special Committee on Fracture Toughness Testing as stated in ASTM Special Technical Publication Number 381, Reference 3, were followed.

10

Page 24: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

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Page 25: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

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Page 26: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

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Page 27: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

"/ t-t-t

FATIGUE CRACKS

^

. ROLLING DIRECTION (WHERE APPLICABLE)

t t t

rrn i i Note 1: Five-Hole Bolt Pattern Drilled (Both Ends) for

Tensile Machine Fittings Note 2: Total Length of Fatigue Crack Plus Machined Slot

(2a) Was Controlled to 2.5 Inches

Figure 10. Fracture Toughness Specimen

14

Page 28: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

A compliance gage, Figure 11, was used to measure crack extension by actually measuring the vertical displacement (v). This vertical dis- placement was converted to crack extension by the use of a calibration curve, explained later. The compliance gage, patterned after the unit described in Reference 1, converts displacement to an electrical sig- nal, the same operating principle as an averaging extensometer used for ordinary tensile testing.

15

Page 29: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

Note 1: Mechanical Stop To Prevent the Strain Gages from being Overstressed when Specimen Fails

Note 2: Knife Edge which Deflects the Cantilever Beam

Note 3: Calibrated Cantilever Beam Note 4: Strain Gages Calibrated To Read Deflection

at the Knife Edge Note 5: Set Screws for Attaching the Gage to the

Specimen Note 6: Electrical Input from the Strain Gages to

the X-Y Recorder

Figure 11. Compliance Gage

16

Page 30: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

Installation of the compliance gage on a fracture toughness specimen is shown in Figure 12.

Load applied to the specimen was measured by a calibrated load cell in series with the specimen. Applied load versus displacement (v) was recorded on an X-Y recorder, Electro-Instruments Model 420. Figure 13 shows an over-all view of the test setup.

Before any testing was done, a calibration curve for the compliance gage was constructed so that the vertical displacement (v) might be converted to relative crack length. The basic calibration curve for the gage, indicated in Figure 14 as a heavy line, was drawn after load-deflection data were obtained from several aluminum (6061-T6 and 7075-T6) fracture toughness specimens under elastic loading condi- tions. The initial crack length (2a) in these calibration specimens ranged from 0 to 4-9/16 inches. The family of curves, shown as light lines on Figure 14, were drawn by varying the value of the modulus of elasticity in tension used in the corrected specimen compliance term (the ordinate). Figure 14 was then able to be used in fracture tough- ness data reduction of materials of different elastic modulii.

As explained in Reference 1, the use of the compliance gage allowed simpler data reduction. With the effect of the plastic enclave at the apex of the static crack included in the calibration of the compliance gage, the fracture toughness equation used to reduce the test data was

E GIc = (1 - M 2) KIc

2 = o 2 w tan ( n a/w).

This equation was solved for Kic either at the point where the load- deflection curve deviated from a straight line or at the point of "pop-in", if "pop-in" occurred. (The term "pop-in" has been coined by other workers in the field and owes its origin to the observation that the first appreciable extension of the crack under static load is often accompanied by an audible snap from the specimen.)

At the point of maximum load (final failure), the value of Kc was calculated. But, before the Kc calculation was made, the remaining net area and net stress were calculated. The non-dimensionalized terms of corrected specimen compliance (Ev/ Og w) and the relative crack length ( n a/w) were calculated for the point of load deviation or "pop-in", whichever was used to determine the value of Kic. These two quantities determined a point on the calibration curve. Usually, due to variations in installation of the compliance gage, the point as determined did not lie directly on one of the curves, but lay between two of the curves calculated from the basic calibration. This point was used to determine a new curve, applicable to that

17

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Page 31: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

Note 1: Tensile Machine Fitting Showing the Five-Hole Bolt Pattern

Figure 12. Fracture Toughness Specimen with Compliance Gage Installed

18

Page 32: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

Note 1: X-Y Recorder Note 2: Calibrated Load Cell

Figure 13. Fracture Toughness Test Setup in the Riehle Tensile Machine

19

Page 33: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

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particular test; end with the calculatec1 value of (Ev/ Qg W) for the point of maximum load, the final value of ( n a/w) was determined. From this ( n a/w) term, the remaining net area and the net stress were calculated. If the net stress did not exceed 1.1 of the yield strength of the material, tue ^ calculation was completed. But, if the net stress did exceed 1.1 of ehe yield strength, the calculation of Kc was not made. This is in accordance with the practice recommended by the ASTM.

When it was determined that the remaining net section of the specimen was not in a state of general yield, the value of ( n a/w) was sub- stituted directly into the equation given below and the value of K^ was determined.

E Gc = Kc2 = ag2 w tan ( TT a/w)

Static Tensile Test Procedure

The test procedures outlines in Federal Test Method Standard Number 151a, "METALS; TEST .METHODS", Method 211.1, "TENSION TEST", July 17, 1956, were followed without exceptions or deviations. Since the specimens were cut from sheet, plate, or machined extrusions, a flat tensile test specimen was used (type f2, shown in Figure 3 of the test method). All axill directions of all tensile test specimens corresponded to the axial directions of the fatigue crack propagate jn test and fracture toughness test specimens.

A Riehle Model PS-60 Universal Testing Machine was used in these tests. A two-inch Riehle extensometer and auto-graphic recorder were used to determine the yield strength of the specimeus.

21

Page 35: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

EXPERIMENTAL RESULTS

Fatigue Crack Propagation

Three distinct types of data presentation are used In this program. These types are:

1. Graphical presentation of stress Intensity factor versus fatigue crack propagation rate (see Figure 9 for a typical example).

2. Graphical presentation of fatigue crack length versus cycles of vibratory load (see Figure 15 for a typical example).

3. Tabular presentation of the cracked life for each alloy.

For most of this report, the third type of present ition was used because of clarity and ease of presentation. In ranking materials according to their cracked life, an Initial crack length of one inch was arbitrarily chosen. The initial length decision was necessary to eliminate the problems of crack dwell and Initial crack length variations from specimen to specimen. Cycles to failure for this one-inch initial crack length were chosen as the figure of merit for resistance to fatigue crack propagation. Specific aspects of the fatigue crack propagation tests are:

1. Ranking of Materials:

Tables I, II, and III list all materials and configurations tested in descending order of fatigue crack propagation resistance for each of the three test stress levels.

Test stress levels were established on a constant stress- density basis; i.e., test stress divided by average density of the alloy system is a constant. As most common engineer- ing materials have nearly constant ratios of elastic modulus to density, the ranking tables for tension fatigue may be use«.1 for flexure fatigue as well.

22

Page 36: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

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Page 37: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

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TABL

RANKING OF MATERIALS AT

E I

THE FIRST STRESS LEVEL*

Thickness Cycles to Rank Materials (Inches) Failure x 103

1 6061-T6 (Ext.) (550 Shot, 15A2 Intensi ty)

.160 631

2 6061-T6 (Ext.) .160 551 (230 Shot, 6A2 Intensity)

3 2024-T3 (Chem-Milled) .160 434 •4 6061-T6 (Ext.) .325 423 5 6061-T4 (Plate) .160 405 6 4340 (150 ksi)

(330 Shot, 7A2 Intensit y) .063 399

7 6061-T6 (Ext.) .080 390 8 2024-T4 .160 362 9 6061-T6 (Sheet) .160 316

10 Ti-8Al-lMo-lV .090 301 11 4130 (150 ksi) .063 299 12 6061-T6 (Ext.)

(Dodecyl Alcohol Spray) .160 290

13 4340 (150 ksi) (110 Shot, 5A2 Intensit y)

.063 272

14 6061-T6 (Ext.) .160 260 15 4340 (150 ksi) .090 250 16 Ti-6A1-4V .045 233 17 6061-T6 (Ext.)

(Water Spray) .160 222

18 301 (1/4 ILird) .063 221 19 2024-T3 .160 215 20 7075-T4 .160 215 21 410 (Condition "T") .063 204 22 4340 (125 ksi) .063 197 23 2024-T6 .160 195 24 4340 (150 ksi)

(Dodecyl Alcohol Spray) .063 195

25 4340 (150 ksi) (Water Spray)

.063 181

26 4340 (150 ksi) .125 177 27 4340 (150 ksi) .063 176 28 18/o Ni Maraging Steel

250 ksi) .063 145

29 7001-T75 .160 126 30 4340 (200 ksi) .063 115

24

Page 38: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

TABLE I (contd.)

Thickness Cy, :le8 to Rank Materials (Inches) Faib are x 103

31 7075-T6 .160 114 32 Ti-6A1-4V .090 113 33 Ti-5Al-2.5Sn .063 98 34 Ti-6A1-4V .063 95 35 Ti. Comm. Pure .090 88 36 Ti 140A .090 83 37 HK31A-H24 .160 70 38 AZ91C-T6 .160 68 39 7178-T6 .160 28

*Fir8t gross stress levels ( a_) are;

Steel Titanium Aluminum Magnesium

+23,000 +8,700 psi +13,400 +5,000 psi + 8,000 +3,000 psi + 5,400 +2,030 psi

25

Page 39: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

TABLE II

RANKING OF MATERIALS AT THE SECOND STRESS LEVEL*

Thickness Cycles to Rank Materials (Inches) Failure x 10^

1 6061-T6 (Ext.) (550 Shot, 15A2 Intensity)

.160 130

2 6061-T6 (Ext.) (230 Shot, 6A2 Intensity)

.160 121

3 6061-T6 (Ext.) .080 101 k 6061-T4 (Plate) .160 98 5 6061-T6 (Ext.) .160 79 6 2024-T4 .160 77 7 6061-T6 (Ext.) .325 76 8 2024-T3 (Chem-Milled) .160 66 9 6061-T6 (Sheet) .160 57

10 TI-8AI-IM0-IV .090 56 11 Ti-6A1-4V .045 54 12 6061-T6 (Ext.)

(Water Spray) .160 54

13 4340 (150 ksi) (330 Shot, 7A Intensity)

.063 53

14 4340 (150 ksi) .090 52 15 301 (1/4 Hard) .063 52 16 4130 (150 ksi) .063 49 17 410 (Condition "T") .063 48 18 187. Ni Maraging Steel

(250 ksi) .063 48

19 4340 (125 ksi) .063 48 20 4340 (150 ksi)

(110 Shot, 5A Intensity) .063 47

21 Ti-6A1-4V .090 44 22 Ti 140A .090 43 23 2024-T6 .160 43 24 6061-T6 (Ext.)

(Dodecyl Alcohol Spray) .160 38

25 Ti-6A1-4V .063 36 26 2024-T3 .160 36 27 4340 (150 ksi) .125 35 28 7075-T4 .160 33 29 4340 (150 ksi)

(Dodecyl Alcohol Spray) .063 33

30 4340 (150 ksi) (Water Spray)

.063 29

I

26

Page 40: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

TABLE II (contd.)

Thickness Cyc :le8 to Rank Materials (Inches) Failure x 10J

31 Tl. Comm. Pure .090 28 32 4340 (150 ksi) .063 26 33 HK31A-H24 .160 26 34 4340 (200 ksi) .063 25 35 Tl-5Al-2.5Sn .063 19 36 7075-T6 .160 18 37 7001-T75 .160 17 38 7178-T6 .160 9 39 AZ91C-T6 .160 3

*Second gross stress levels ( a „) are:

Steel Titanium Aluminum Magnesium

+23,000 +17,400 psi +13,400 +10,000 psi + 8,000 + 6,000 psi + 5,400 + 4,060 psi

27

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TABLE III

RANKING OF MATERIALS AT THE THIRD STRESS LEVEL*

Thickness Cycles to Rank Materials (Inches) Failure x 103

1 6061-T6 (Ext.) .160 456 2 6061-T6 (Sheet) .160 453 3 2024-T3 .160 411 4 6061-T6 (Ext.)

(230 Shot, 6A2 Intensity) .160 382

5 6061-T6 (Ext.) .160 373 (Dodecyl Alcohol Spray)

6 6061-T6 (Water Spray)

.160 354

7 410 (Condition "T") .063 349 8 6061-T6 (Ext.)

(550 Shot, 15A: ; Intensity) .160 336

9 2024-T3 (Chem-Mi .lied) .160 328 10 Ti-6A1-4V .090 325 11 2024-T4 .160 318 12 6061-T4 (Sheet) .160 274 13 4340 (150 ksi)

(330 Shot, 7A2 Intensity) .063 239

14 4340 (150 ksi) (Dodecyl Alcohc >1 Spray)

.063 219

15 4340 (125 ksi) .063 213 16 Ti-8Al-lMo-lV .090 207 17 4340 (150 ksi)

(110 Shot, 5A2 Intensity) .063 205

18 301 (1/4 Hard) .063 197 19 4340 (150 ksi)

(Water Spray) .063 193

20 2024-T6 .160 191 21 4130 (150 ksi) .063 188 .22 Ti-5Al-2.5Sn .063 188 23 4340 (150 ksi) .063 141 24 4340 (200 ksi) .063 139 25 Ti. CoTTrni. Pure .090 131 26 HK31A-H24 .160 120 27 7075-T4 .160 no 28 18% Ni Maraging

(250 ksi) Steel .063 106

28

Page 42: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

TABLE III (contd.)

Rank Materials Thickness Cy cles to (Inches) Faili are x 103

.090 106

.160 81

.160 35

.160 '14

29 Ti 140A 30 7075-T6 31 7178-T6 32 AZ91C-T6

*Third gross stress levels ( Qg) are:

Steel Titanium Aluminum Magnesium

+34,500 +8,700 psi +20,000 +5,000 psi +12,000 +3,000 psi + 8,100 +2,030 psi

1 29

I I

Page 43: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

All aspects of the test program are included in materials ranking. As a result, shot-peening effects (cold work), thickness effects, metallurgical effects (heat treatment) , and chemical effects (water and dodecyl alcohol) are all ranked against each other in the same tables. These additional effects are:

2. Thickness Effect:

At the inception of this program, examination of the "tunneling" action of fatigue "beach-marks" in heavy sections led to the belief that thicker sections would exhibit less resistance to fatigue crack propagation. Corollary to this was the belief that free surfaces acted as fatigue crack propagation retardants and that cold-work of these surfaces would act as a retardant (see discussion below).

Although the largest possible ranges of thickness of speci- mens were tested, little or no difference in resistance to fatigue crack propagation was observed in this test series. This is apparent from both the ranking of materials. Tables I, II, and III, and the plots of stress intensity factor versus fatigue crack propagation rate, none of which indi- cate any measurable effect for the thickness ranges of aluminum (0.080 - 0.160 - 0.325 inch), steel (0.063 - 0.090 - 0.125 inch), or titani^n (0.045 - 0.063 - 0.090 inch).

3. Effect of Cold Work:

Surfaces of aluminum and steel alloys tested in this series were shot-peened to two different intensities (each) to determine the relative effect of shot-peening intensity on the resistance to fatigue crack propagation. Shot-peening conditions, chosen for the greatest range of practical interest. Reference 6, were:

A. 6061-T6 (extruded) aluminum a. 230 shot, 6A2 intensity b. 550 shot, 15A2 intensity

B. 4340 (150 ksi) steel a. 110 shot, 5A2 intensity b. 330 shot, 7A2 intensity

Both materials showed improvement in resistance to fatigue crack propagation as a result of shot-peening. The more intense peening resulted in a greater increase in resistance in both cases. Steel exhibited a greater relative increase in resistance than aluminum did.

30

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Figure 16 shows plots of stress intensity factor versus fatigue crack propagation rate for as-rolled and shot- peened steel. In both the slow and fast crack propagation regions, a larger stress intensity factor is needed on shot-peened steel to obtain the same crack propagation rate. At the transition point between slow and fast crack propa- gation, the stress intensity factor is not significantly different for any surface condition. However, the propa- gation rate is lower for shot-peened specimens.

The stress intensity factor at static failure is lower for the shot-peened steel. This is apparently due to the residual tensile stress in the core of the sheet adding to the applied stress. The length of the fatigue crack at the time of static failure of the shot-peened specimens is correspondingly shorter. This reduction is not considered significant in considering the cracked life of a shot-peened component, as it occurs very close to the point of static failure.

It is generally agreed that the increase in resistance to fatigue crack propagation is the result of the residual com- pressive stresses in the surface rather than cold work. This research is far from complete, since the full range of peening intensities has not been investigated and the effects of cyclic-induced stress relaxation (sometimes called fading) reported by some researchers and not found by others has not been investigated. Shot-peening also increases crack dwell time.

Metallurgical Effects:

As can be seen from Tables I, II, p.rid III, one very definite general trend exists. The more ductile, tougher materials, in general, those of lower tensile strengths, are more resistant to fatigue crack propagation. This is most readily seen in the case of 4340 steel, tested at strength levels of 125, 150, and 200 ksi ultimate tensile strength. At the same test levels, the higher the ultimate tensile strength, the lower the resistance to fatigue crack propagation.

This same general trend can also be found in the cases of 6061-T4 and -16, 2024-T3, -T4, -T6, and 7075-T4 and -T6.

31

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Page 46: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

5. Effect of Cbemicals:

Fatigue crack propagation tests were conducted with both dis- tilled water and dodecyl alcohol (chemically pure) sprayed against the opposite side of the specimen to that photographed by the time-lapse camera. The test setup is shown in Figure 17.

As a result of the research conducted by Frankel, Bennett, and Holshauser, Reference 4, it was expected that an improvement would be seen in the resistance to fatigue crack propagation of materials sprayed with dodecyl alcohol. Instead, both dis- tilled water and dodecyl alcohol lowered the fatigue crack propagation resistance of aluminum and steel by approximately the same amount. Research completed by Christensen, Reference 2, has indicated a possible mechanism which could explain the change in cracked life which occurs when the specimen surfacr is directly impinged by a fluid. Although Christensen's re- search was applied to an opening and closing crack, a fluid wedge in a partially closing crack could cause the reduction observed in these tests. This reasoning is further strength- ened by direct observation of a pumping action from the fatigue crack of both liquids as the final failure point was approached.

An additional chemical action was investigated in these series: chemically milled 2024-T3 aluminum alloy. The 2024- T3 sheet was chemically milled in an alkaline chemical mil- ling bath, removing 0,015 inch of material from both si das, with a final surface finish of 10 RMS. No significant change in the resistance to fatigue crack propagation was found for this condition.

6. Laminated Plastics:

Test results of plastic laminates indicate only that con- siderable research is necessary in this field. The data obtained in this test series is not recommended for design application for the following reasons:

A. The derivation of the formulae for calculation of fracture toughness parameters assumes homogeneous, Isotropie media. Laminates are not in this category. It is not possible within the limits of this test series to determine the effect on the reliability of the data of this basic difference.

33

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Note 1: Plastic Container Used as a Reservoir Note 2: 28-Volt DC Motor - Pump Combination Note 3: Plastic Container Used To Collect the Sprayed

Liquid and Return it to the Reservoir Note 4: Spray Nozzle Note 5: Fatigue Crack Propagation Specimen

Figure 17. Chemical Effect Test Setup

34

Page 48: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

Researchers in fatigue of metallic materials have developed certain standard techniques, one of which is the "probit" method. The probit test is used to determine stress levels to be used in a fatigue test program, and consists of applying a fatigue load, estimated to be too low for failure, to a specimen for approximately one million cycles, increasing the load for another million cycles, increasing the load a second time, a third time, etc., until the specimen fails. The S/N fatigue curve data points are then found by testing specimens at a single stress derived from the probit failure stress. It has been observed that metal- lic probit specimens fail at a stress level approximately 5 to 107o above that of a virgin specimen. This increase has been named "coaxing effect".

Probit tests were not satisfactory on laminates, as may be seen in Table IV. Probit 1/1 failed at the third stress level, but probit #2 required an even higher stress level for failure, while probit #3 and 5 specimens required an 8-l/27o higher stress for failure. The laminates exhibit a "negative coaxing effect". This was found on all lam- inates tested.

TABLF IV

PROBIT TEST RESULTS FOR 181/150 GLASS CLOTH LAMINATES (WARP DIRECTION)

Specimen Stress Level Cycles of Load Conments

Probit in 5,480 ± 2,055 psi 3,000 X 10J No Crack Growth 5,985 ± 2,245 psi 3,000 X 103 No Crack Growth 6,490 ± 2,435 psi 1,548 X 10^ Failed

Probit #2 6,490 ± 2,435 psi 4,700 X 103 No Crack Growth 6,995 ± 2,625 psi 1,270 X 103

ioJ Failed

Probit #3 7,500 ± 2,815 psi 1,500 X Failed Specimens

1 - 5 7.500 ± 2.815 psi Av. 2.286 X 103

Stn'd Dev. 1,881 x 10"

35

Page 49: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

(

Although cumulative fatigue damage or "negative coaxing" is the only form of stress history investigated in this progrfjn, other work indi- cates that prior stresses due to quasi-static loading, random fatigue loading, thermal shock, and alternate freeze-thaw, among others, also affect the specimen fatigue strength of laminates. Considerably more work must be done to rationalize the fatigue characteristics of laminates.

Stress levels determined by probit tests for fatigue crack propagation tests are listed in Table V. Only the lowest test stress level was determined by probit testing. The two higher test stress levels were determined in the same manner as the tests of metallics.

1/ J V

FATIGUE CRACK PROPAGATION TEST STRESS LEVELS FOR GLASS CLOTH LAMINATES

Specimen Stress Level Determined by Ü. CIS

181 glass cloth, loaded in warp direction

181 glass cloth, loaded at 45° to warp direction

143 glass cloth, loaded in warp direction

143 glass cloth, loaded in fill direction

143 glass cloth, loaded at 45° to warp direction

7500 + 2815 probit 7500 + 5630 calculation 11250 + 2815 calculation 5560 + 2084 probit 5560 + 4168 calculation 8300 + 2084 calculation 10800 + 4075 probit 10800 + 8150 calculation 16200 + 4075 calculation 3030 + 1135 probit 3030 + 2270 calculation 4550 + 1135 calculation 4940 + 1845 probit 4940 + 3690 calculation 7400 + 1845 calculation

Note 1: Specimens at this load failed too fast to obtain crack propagation data.

Note 2: Specimens at this load elongated (permanently) without propagating the fatigue crack,so that no fatigue crack propagation data was obtained.

36

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Fracture Toughness Tests:

The fracture toughness results are reported in Table VI. Kjc was obtained for all materials tested, but it was generally not pos- sible to calculate K^.. For most of the common engineering materials considered in this study, general yield occurred across the net section before brittle fracture could occur. With general yield, fracture toughness no longer applies as a physical description of the failure, and therefore, the Kc value could not be validly cal- culated.

In all cases, Kjc was numerically larger than the maximum K calculated at or near failure in fatigue crack propagation tests of the same mate- rials. Although many of the fatigue crack propagation specimens were not run to complete failure bacause of the amplitude limits of the fatigue test machines, all specimens were tested to the point where the fatigue crack propagation could be described as delayed static failure. At this point, the fatigue crack propagation was extremely fast, with the length versus cycles curve becoming nearly asymptotic, an infinite change in length for an infinitesimal increase in cycles of applied stress. Consequently, it is felt that the error is negligible in defining the final stress intensity factor obtained in fatigue crack propagation tests as the stress intensity factor for brittle static failure of the specimen.

Comparison of the values of stress intensity factor obtained from fracture toughness tests and from the final static fracture of fatigue crack propagation tests required an adjustment in the test data. The adjustment was necessary due to the difference in mathe- matical models used to represent the change in stress concentration factor of the crack as the crack length increased across the finite- width specimen. This correction has been referred to as a geometric correction factor, indicating the fundamental relation between crack length and the finite specimen width.

The problem of the mathematical model used to represent the change in the stress concentration factor of the crack as the crack length changes has been, and still is, a subject of much discussion in the literature. The measure of accuracy of these proposed models has always been correlation with test data, and each author shows a very good fit with the test data, for his model.

37

Page 51: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

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c

38

Page 52: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

c o u

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39

Page 53: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

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40

Page 54: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

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Page 55: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

c o o

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42

Page 56: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

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Page 57: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

\

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44

Page 58: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

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45

Page 59: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

c o o

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46

Page 60: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

For fracture toughness testing th' most conmonly used mathematical model is that proposed by Irwin, and discussed in detail in Reference 3. The plane stress form of this equation is

Kc2 = en2 (Equation 1)

g a„3 TT a

where ai3 = —^- tan ^ a^ is a geometric term. TT a b

There is an indication in the literature,and in the limits of crack length imposed in Reference 3, that this mathematical model may not be the best representation for long cracks relative to specimen width. However, be- cause of the wide general acceptance of this equation, it was decided to use it and then to convert values of stress intensity factor from fracture toughness tests to the mathematical representation used in fatigue crack propagation for comparison of static failure results from the two types of tests.

The geometric correction factor used in fatigue crack propagation is derived from the basic stress intensity equation

Kca = da2 (Equation 2) 2

g Or,3 T a

where ^ = [2 . 4(a)b)5 ^f/b) V i8 a geOTietric tera-

A comparison of geometric correction factor values obtained from these two formulae for various crack lengths is shown in Figure 18. This same figure may be u.-ed to obtain the numerical relation (adjustment) between the two geometric correction factors of individual fracture toughness specimens, to calculate fatigue stress intensity factors.

47

Page 61: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

v

GEOMETRIC CORRECTION

FACTOR 5

FATIGUE CRACK PROPAGATION

FRACTURE TOUGHNESS

0 0.2 0.4 0.6 0.8 a/b

Figure 18. Comparison of Irwin and Greenspan Correction Factors

48

Page 62: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

Tensile Tests

Tensile test results are tabulated in Table VII. These results are the average of the tests of each material or configuration. The values in Table VII were used in the fracture toughness tests to determine if the calculation of the stress intensity factor at failure were valid (i.e., no general yield).

All tensile test results were within the specification requirements for the materials tested, when such requirements existed.

49

Page 63: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

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50

Page 64: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

ON IH s-\ • • i i i i i i

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Page 65: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

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CONCLUSIONS

It is concluded that:

1. The materials considered in this research program have been ranked for their resistance to fatigue crack propagation at steady and vibratory stresses representative of service fatigue environments.

2. A statistically reliable basis cf fatigue crack propagation data has been obtained for further analysis and research.

3. Two fatigue crack propagation retardants have been evalu- ated: (a) dodecyl alcohol film, considered unsuccessful; (b) shot-peening, considered successful and worth further research and application.

U. For the materials tested, the correlation between fracture toughness and the last stages of fatigue crack propagation (static fracture) is very poor. It is further concluded that the appliciition of fracture toughness parameters to fatigue crack propagation final static failure would lead to small, non-conservative errors in cracked life estimates.

5. A general trend has been observed in resistance to fatigue crack propagation; ductile, lower-ultimate-strength mater- ials show greater resistance to fatigue crack propagation. With dependable field inspection techniques for very small fatigue cracks, the designer of a structure should consider lower fatigue initiation strength materials, coupled with inspection aids and a long fatigue-cracked life, to achieve an over-all higher reliability than can be gained by depend- ence on structural strength alone.

6. Since fracture toughness equations were derived for homo- geneous, Isotropie media, the application of fracture toughness parameters to plastic laminates is not within the state of the art.

7. Plastic laminate fatigue crack propagation results have a strong dependence on the prior stress history of the laminate.

54

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RECOMMENDATION?

:

It is reconnnended that research be continued into the theory of basic mechanisms of fatigue crack propagation. This further research should include the following areas:

Attempt to rationalize the differences in fracture toughness parameters obtained from static and fatigue crack propagation tests, particularly evaluating secondary stress intensity factors indicated by Muskheiishvili' s basic studies, Referenc«;- 7.

Determine if there is,- in fact, any mathematical relationship between fatigue crack propagation and fracture toughness parameters.

Determine a mathematical relationslu, governing the effect of steady and vibratory stresses on fatigue crack propagation.

Evaluate fatigue crack propagation initiated by ballistic penetration.

Evaluate the effects of compressive stress fatigue crack retardants (especially shot-peening) as a function of the applied stress and the profile of residual compressive stresses and as a function of the ratio of the compressive layer thickness to the specimen thickness.

Determine if, in fact, thj effect of compressive stress fatigue crack retardants diminishes by the effect termed cyclic induced stress relaxation.

Continue accumulation of fatigue crack propagation infor- mation as a routine analysis of new engineering materials.

Continue basic studies of composite materials to develop mathematical techniques necessary to analyze and categorize fatigue crack propagation data in these materials.

Develop methods to promote fracture toughness study from its present level as an academic interest area for the fracture mechanics physicist to a useful technology for the designer and structures engineer.

I 55

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BIBLIOGRAPHY

1. Boyle, R., "A Method for Determining Crack Growth", Materials Research and Standards. Volume 2, No. 8, August 1962, pp. 646-651.

2. Christensen, R., 'Tatigue-Crack Growth Affected by Metal Fragments Wedged Between Opening-Closing Crack Surfaces", Douglas Aircraft Independent Research Program Account No. 81296-154, Sept. 1962.

3. Fracture Toughness Testing and Its Applications, ASTM Special Technical Publication No. 381, American Society for Testing and Materials, Philadelphia, Pa., 1965.

4. Frankel, H. , Bennett, J., Holshauser, W. , "Effect of Oleophobic Films on Metal Fatigue", Journal of Research of the National Bureau of Standards. Volume 64C, No. 2, April-June 1960.

5. Greenspan, M, , "Axial Rigidity of Perforated Structural Members", Journal of Research of the National bureau of Standards. Volume 31, Dec. 1943, pp. 305-322.

6. Metal Improvement Company, Doctor H. 0, Fuchs, Consultant, Private Consultation.

7. Muskhelishvili, N., Some Basic Problems of the Mathematical Theory of Elasticity. P. Noordhoff Ltd., Groningen-The Netherlands, 1963.

56

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DISTRIBUTION

US Army Materiel Command 5 US Army Mobility Command 5 US Army Aviation Materiel Command 6 US Army Aviation Materiel Laboratories 29 US Army Engineer R&D Laboratories 2 US Army Research Office-Durham 1 Plastics Technical Evaluation Center 1 US Army Engineer Waterways Experiment Station 1 US Army Ouartermaster School 2 US Army Infantry Center 2 US Army Tank-Automotive Center 2 US Army Aviation Maintenance Center 2 US Army Armor and Engineer Board 1 US Army Electronics Command 2 US A^rny Aviation Test Activity 2 Air Force Flight Test Center, Edwards AFB 2 US Army Field Office, AFSC, Andrews AFB 1 Air Force Systems Command, Wright-Patterson AFB 1 Air Force Flight Dynamics Laboratory, Wright-Patterson AFB 1 Systems Engineering Group (RTD), Wright-Patterson AFB 3 Bureau of Naval Weapons, DN 6 Office of Naval Research 1 Chief of Naval Research 2 US Naval Research Laboratory 1 David Taylor Model Basin 1 Commandant of the Marine Corps 1 Ames Research Center, NASA 1 Lewis Research Center, NASA 1 Manned Spacecraft Center, NASA 1 NASA Rej. rese itative. Scientific and Technical Information Facility 2 Research Analysis Corporation 1 NAFEC Library (FAA) 2 Aeronautical Materials Laboratory 1 Deff nse Documentation Center 20

57

"X »

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APPENDIX

MATERIALS

Materials tested in this program were purchased under standard mili- tary specifications applied to engineering materials used in the aerospace industry. The list of materials tested is given below.

I. Ranking of Materials

A. Aluminum

1. 6061-T6 sheet 2. 2024-T3 sheet

Processed in accordance with MIL-H-6088C to T4 and T6

3. 7075-T6 sheet 4. 7178-T6 sheet 5. 7001-T75

T1.02, Si.12, Fe.16, Cu2.26, Mn.OA, Mg3.03, Cr.21, Ni.01, Zn7.6l

B. Steel

Specification

QQ-A-327 QQ-A-362

QQ-A-287 QQ-A-250/15 none available • chemistry below

1. 4130 Processed in accordance with MIL-H-6875B

2. 4340 Processed in accordance with MIL-H-6875B

3. 301, 1/4 hard 4. 410 cond. "TM

Processed in accordance with MIL-H-6875B

5. 18% Ni Maraging Steel (250 Grade) Vanadium Alloys, Vacuum Melted, Heat 34021 C.02, S.05, Mn.03, S.005, P.002, Al.06, Ti.33, B.005, Mo4.90, Co7.82, Nil8.65, Zr.0085, Ca.02 (added)

MIL-S-18729B

AMS-6359A

MIL-S-5059A QQ-S-763

58

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f C. Titanium

1. Ti-140A (2Fe-2Cr-2Mo)

2. Commercially Pure

3. 8AI-IM0-IV (Duplex annealed)

4. 0AI-4V

5. 5Al-2.5Sn

D. Magnesium

1. AZ91C-T6 Processed by vendor (Wellman Bronze) in accordance with

2. HK31A-H24

Specification

MIL-T-9046C Class 4

MIL-T-9046C Class 7

MIL-T-9046D Type II

Composition F MIL-T-9046C

Class 2 MIL-T-9046C

Class 3

QQ-M-56

MIL-M-6875B AMS-4385

Laminated Plastics

1. 181/150 glass cloth (a) cloth specification

(b) finish (c) resin specification (d) vendor (resin) (E-293)

Cordo Division of Ferro Corp. (e) resin content (f) other variables

Cure Temp. 340*^ Cure Time 2 hrs., Press. 50 psig 25" Hg vacuum

2. 143 glass cloth (a) cloth specification

(b) finish (c) resin specification

MIL-C-9084B Type VIII A

Volan A MIL-R-9300A

387.

MIL-C-9084B Type V Volan A

MIL-R-9300A

59

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(d) vendor (resin) (E-293) Cordo Division of Ferro Corp.

(e) resir; content (f"> other variables

Specific Gravity Cure Temp. 340°F, Cure Time 2 hrs., Press. 50 psig 25" Hg vacuum

II. Fffect of Thickness

A. Alimlnuin

1. 606i-T6 (extruded) Processed in accordance with except that solution heat- treatment temperature range was 910°- 930oF

Specification

41.87,

1.75

QQ-A-270A MIL-H-6088C

B. Steel

1. 4340 (150 ksi) 0.090" Processed in accordance with (Rockwell C36 hardness)

2. 4340 (150 ksi) 0.125" Processed in accordance with (Rockwell C36 hardness)

III. Effect of Cold-Working

A. Aluminum

AMS-6359A MIL-H-6875B

AMS-6359A MIL-H-6875B

NOTE;

6061-T6 230 shot, 6A2 measured intensity

6061-T6 550 shot, 15A2 measured intensity

All specimens were peened by Metal Improvement Company, Hackensack, N. J. using a Gantry unit; specimen feed rate - 6 inches per minute, oscillation - 20 strokes per minute.

60

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B. Steel Specification

1. 4340 (150 kaO 110 shot, 5A2 intensity

2. 4340 (150 ksi) 330 shot, 7A2 intensity

IV. Metallurgical Effects

A. Aluminum

1. 6061-T4 processed in accordance with MIL-H-6083C

2. 7075-T4 processed in accordance with MIL-H-6088C to 7075-W Room temperature age for minimum of 96 hours to -T4 condition

B. Steel

1. 4340 (125 ksi) processed in accordance with MIL-H-6875B

2. 4340 (200 ksi) processed in accordance with MIL-H-6875B

V. Effect of Chemicals

A, Aluminum

1, Defined above

2. 2024-T3 chem-milled; chemically QQ-A-355 milled in a proprietary solution (T3)

Sodium hydroxide buffered with sodium sulphide and sodium gluconate.

61

^r

Page 75: USAAVLAB S TECHNICA L REPOR T 66-9 FATIGU E ... G. Degnan Peter D. Dripchalc Charles J. Matusovich March 1966 0. S. ARMY AVIATION MATERIEL LABORATORIES FORT EUSTIS, VIRGINIA CONTRACT

Unclassified Security Classification

DOCUMENT CONTROL DATA - R&D (Security claeeitication ot title, body o / abstract mnd indexing annotation muet be entered when the overall report ie c laa sifted)

) ORIGIN A TIN G ACTIVITY (Corpormlm author;

Sikorsky A i r c r a f t Div i s ion of United A i r c r a f t Corpora t ion

2e REPORT SECURITY CLASSIFICATION

U n c l a s s i f i e d ) ORIGIN A TIN G ACTIVITY (Corpormlm author;

Sikorsky A i r c r a f t Div i s ion of United A i r c r a f t Corpora t ion 2 6 GROUP

J REPORT TITLE

FATIGUE CRACK PROPAGATION IN AIRCRAFT MATERIALS

4 DESCRIPTIVE N O T E S (Type of report and Inclueive datee)

Test Data - February 25, 1963 to August 31, 1965 S AUTHORfSJ (Lmat name, IIret name. Initial)

Degnan, William G., Dripchak, Pe te r D., Matusovich, Charles J .

« R E P O R T DATE

March 1966 7 a TOTAL NO OF PACES 7 6 NO OF REFS

61 Six 8 « CONTRACT OR GRANT NO.

DA 44-177-AMC-84(T) b. PROJECT NO.

Task 1P125901A14227 C.

d.

9 a ORIGINATOR'S REPORT NUMBERfSJ

USAAVLABS Technical Report 66-9 8 « CONTRACT OR GRANT NO.

DA 44-177-AMC-84(T) b. PROJECT NO.

Task 1P125901A14227 C.

d.

9b. OTHER REPORT NOfSJ (Any other numbere that may be aaaigned thle report)

SER-50411

D i s t r i b u t i o n of t h i s document i s u n l i m i t e d .

11. S U P P L EMENTARY NOTES 12 SPONSORING MILITARY ACTIVITY

US Army Aviation Mate r i e l Labora to r i e s Fort E u s t i s , V i rg in i a

fatigue crack propagation rates were investigated in alloys of aluminum,magnesium, steel, and titanium. Some limited fatigue crack propagation was done in laminated plastics. A possible correlation between fatigue crack propagation, fracture toughness, and tensile strength was also investigated.

All materials have been ranked according to their resistance to fatigue crack propagation. The critical plane strain fracture toughness (Kjc), critical plane stress fracture toughness (Kc) (where applicable), ultimate tensile strength, and per cent elongation were also reported for all materials.

For the materials tested in this program there was no appreciable thickness or chemical effect. Shot-peening did increase resistance to fatigue crack propagation. In general there was an increase in the resistance to fatigue crack propagation in materials with greater ductility. The correlation between fatigue crack propagatior and static fracture toughness was very poor. The crack propagation results of laminated plastics wat- also considered unsatisfactory.

Further research is needed to determine the effect of steady and vibratory stresses on fatigue crack propagation. Research is needed to determine the relationship between fatigue crack propagation and fracture toughness parameters.

DD , 1 4 7 3 Unclassified Security Classification