Abstract

During fatigue crack growth, the two opposing faces of a fatigue crack can make physical contact while unloading from a maximum level of cyclic load, so that the crack tip state at the minimum cyclic load depends on the host geometry, material properties, and loading history. Although significant work has been performed in order to examine the effects of crack face contact, often called crack closure, under variations of applied loading history, little work has been done to understand the details of crack closure in materials that contain bulk residual stress fields. For an elastic material, variations of applied load history create changes in the crack tip behavior that are directly related to the current levels of cyclic stress, with no effect of prior loading. For an elastic-plastic material, variations of the applied load history cause the crack tip behavior to depend on the current and former loading cycles, because of plastic deformation in the crack wake. In an elastic material with bulk residual stress, crack closure occurs because the strain fields locked into the material, which are the source of the residual stress, alter the shape of the crack faces, so that the details of closure depend on the residual stress field and crack geometry. Residual stresses might therefore affect fatigue crack growth in two distinct ways: first, by combining with applied loads to affect the stress intensity factor (at the current crack size), and second, by altering crack closure. We emphasize that the effect of bulk residual stresses on crack closure described here is an elastic effect, which distinguishes it from the more commonly discussed forms of closure, such as arise from plasticity or roughness. The paper describes a means to forecast crack closure due to bulk residual stress fields and assesses schemes to account for its effects on fatigue crack growth.

References

1.
Beghini
,
M.
, and
Bertini
,
L.
, “
Fatigue Crack Propagation through Residual Stress Fields with Closure Phenomena
,”
Eng. Fract. Mech.
, Vol.
36
,
1990
, pp.
379
387
. https://doi.org/10.1016/0013-7944(90)90285-O
2.
Elber
,
W.
, “
Fatigue Crack Closure under Cyclic Tension
,”
Eng. Fract. Mech.
, Vol.
2
,
1970
, pp.
37
45
. https://doi.org/10.1016/0013-7944(70)90028-7
3.
Gan
,
D.
, and
Weertman
,
J.
, “
Crack Closure and Crack Propagation Rates in 7050 Aluminum
,”
Eng. Fract. Mech.
, Vol.
15
,
1981
, pp.
87
106
. https://doi.org/10.1016/0013-7944(81)90108-9
4.
McClung
,
R. C.
, and
Sehitoglu
,
H.
, “
On the Finite Element Analysis of Fatigue Crack Closure—1. Basic Modeling Issues
,”
Eng. Fract. Mech.
, Vol.
33
,
1989
, pp.
237
252
. https://doi.org/10.1016/0013-7944(89)90027-1
5.
Chermahini
,
R. G.
,
Palmberg
,
B.
, and
Blom
,
A. F.
, “
Fatigue Crack Growth and Closure Behaviour of Semicircular and Semi-elliptical Surface Flaws
,”
Int. J. Fatigue
, Vol.
15
,
1993
, pp.
259
263
. https://doi.org/10.1016/0142-1123(93)90374-Y
6.
Liu
,
J. Z.
, and
Wu
,
X. R.
, “
Study on Fatigue Crack Closure Behavior for Various Cracked Geometries
,”
Eng. Fract. Mech.
, Vol.
57
,
1997
, pp.
475
491
. https://doi.org/10.1016/S0013-7944(97)00052-0
7.
Dougherty
,
J. D.
,
Srivatsan
,
T. S.
, and
Padovan
,
J.
, “
Fatigue Crack Propagation and Closure Behavior of Modified 1070 Steel: Experimental Results
,”
Eng. Fract. Mech.
, Vol.
56
,
1997
, pp.
167
187
. https://doi.org/10.1016/S0013-7944(96)00103-8
8.
Wei
,
L. W.
, and
James
,
M. N.
, “
A Study of Fatigue Crack Closure in Polycarbonate CT Specimens
,”
Eng. Fract. Mech.
, Vol.
66
,
2000
, pp.
223
242
. https://doi.org/10.1016/S0013-7944(00)00014-X
9.
Solanki
,
K.
, “
Finite Element Modeling of Plasticity-Induced Crack Closure with Emphasis on Geometry and Mesh Refinement Effects
,”
Eng. Fract. Mech.
, Vol.
70
,
2003
, pp.
1475
1489
. https://doi.org/10.1016/S0013-7944(02)00168-6
10.
Song
,
P.
, “
Crack Growth and Closure Behaviour of Surface Cracks
,”
Int. J. Fatigue
, Vol.
26
,
2004
, pp.
429
436
. https://doi.org/10.1016/j.ijfatigue.2003.06.002
11.
Lei
,
Y.
, “
Finite Element Crack Closure Analysis of a Compact Tension Specimen
,”
Int. J. Fatigue
, Vol.
30
,
2008
, pp.
21
31
. https://doi.org/10.1016/j.ijfatigue.2007.02.012
12.
Doquet
,
V.
,
Bui
,
Q. H.
, and
Constantinescu
,
A.
, “
Plasticity and Asperity-Induced Fatigue Crack Closure under Mixed-Mode Loading
,”
Int. J. Fatigue
, Vol.
32
,
2010
, pp.
1612
1619
. https://doi.org/10.1016/j.ijfatigue.2010.02.011
13.
McEvily
,
A. J.
, “
On Crack Closure in Fatigue Crack Growth
,”
Mechanics of Fatigue Crack Closure, ASTM STP 982
,
J. C.
Newman
and
W.
Elber
, Eds.,
ASTM International
,
West Conshohocken, PA
,
1988
, p. 35.
14.
Ruschau
,
J. J.
,
John
,
R.
,
Thompson
,
S. R.
, and
Nicholas
,
T.
, “
Fatigue Crack Nucleation and Growth Rate Behavior of Laser Shock Peened Titanium
,”
Int. J. Fatigue
, Vol.
21
,
1999
, pp.
199
209
. https://doi.org/10.1016/S0142-1123(99)00072-9
15.
LaRue
,
J. E.
, and
Daniewicz
,
S. R.
, “
Predicting the Effect of Residual Stress on Fatigue Crack Growth
,”
Int. J. Fatigue
, Vol.
29
,
2007
, pp.
508
515
. https://doi.org/10.1016/j.ijfatigue.2006.05.008
16.
De Matos
,
P. F. P.
, and
Nowell
,
D.
, “
Analytical and Numerical Modelling of Plasticity-Induced Crack Closure in Cold-Expanded Holes
,”
Fatigue Fract. Eng. Mater. Struct.
, Vol.
31
,
2008
, pp.
488
503
. https://doi.org/10.1111/j.1460-2695.2008.01245.x
17.
Jones
,
K. W.
, and
Dunn
,
M. L.
, “
Fatigue Crack Growth through a Residual Stress Field Introduced by Plastic Beam Bending
,”
Fatigue Fract. Eng. Mater. Struct.
, Vol.
31
,
2008
, pp.
863
875
. https://doi.org/10.1111/j.1460-2695.2008.01274.x
18.
Tada
,
H.
,
Paris
,
P. C.
, and
Irwin
,
G. R.
, “
Effect of Surface Interference of Partly Closed Cracks
,”
The Stress Analysis of Cracks Handbook
, 3rd ed.,
ASME
,
New York
,
2000
, p. 31.
19.
Liu
,
J. Z.
, and
Wu
,
X. R.
, “
Analytical Expressions for Crack Opening Displacements of Edge Cracked Specimens under a Segment of Uniform Crack Face
,”
Eng. Fract. Mech.
, Vol.
58
,
1997
, pp.
107
119
. https://doi.org/10.1016/S0013-7944(97)00067-2
20.
Wang
,
G. S.
, “
Crack Surface Displacements for Mode I One-Dimensional Cracks in General Two-Dimensional Geometry
,”
Eng. Fract. Mech.
, Vol.
40
,
1991
, pp.
535
548
. https://doi.org/10.1016/0013-7944(91)90149-U
21.
Beghini
,
M.
,
Bertini
,
L.
, and
Vitale
,
E.
, “
Weight Functions Applied to Fatigue Crack Growth Analysis
,”
Fatigue Fract. Eng. Mater. Struct.
, Vol.
20
,
1997
, pp.
1093
1104
. https://doi.org/10.1111/j.1460-2695.1997.tb00315.x
22.
Kiciak
,
A.
,
Glinka
,
G.
, and
Burns
,
D. J.
, “
Calculation of Stress Intensity Factors and Crack Opening Displacements for Cracks Subjected to Complex Stress Fields
,”
J. Pressure Vessel Technol.
, Vol.
125
,
2003
, pp.
260
266
. https://doi.org/10.1115/1.1593080
23.
VanDalen
,
J. E.
, and
Hill
,
M. R.
, “
Evaluation of Residual Stress Corrections to Fracture Toughness Values
,”
J. ASTM Int.
, Vol.
5
, No.
8
,
2008
, Paper ID JAI101713.
24.
Parker
,
A. P.
, “
Stress Intensity Factors, Crack Profiles, and Fatigue Crack Growth Rates in Residual Stress Fields
,”
Residual Stress Effects in Fatigue, ASTM STP 776
,
ASTM International
,
West Conshohocken, PA
,
1982
, pp.
13
31
.
25.
MATLAB, version 7.9.0.529 (
2009
), The Mathworks, Inc., Natick, MA.
26.
Newman
, ,
J. C.
 Jr.
, “
Analyses of Fatigue Crack Growth Databases for Use in a Damage Tolerance Approach for Aircraft Propellers and Rotorcraft
,”
DOT/FAA/AR-07/49
,
Federal Aviation Administration
,
Washington, DC
,
2007
.
27.
Van Dalen
,
J. E.
, “
Observation and Prediction of Fatigue Behavior in Residual Stress Bearing Metallic Coupons Including: Fatigue Crack Growth, Notched Geometry Effects, and Foreign Object Damage
,” M.S. dissertation,
Mechanical and Aeronautical Engineering, University of California
, Davis,
2007
.
28.
Newman
, ,
J. C.
 Jr.
,
Yamada
,
Y.
, and
James
,
M. A.
, “
Stress-Intensity-Factor Equations for Compact Specimen Subjected to Concentrated Forces
,”
Eng. Fract. Mech.
, Vol.
77
,
2010
, pp.
1025
1029
. https://doi.org/10.1016/j.engfracmech.2010.02.012
29.
Stuart
,
D. H.
,
Hill
,
M. R.
, and
Newman
, ,
J. C.
 Jr.
, “
Correlation of One-Dimensional Fatigue Crack Growth at Cold-Expanded Holes using Linear Fracture Mechanics and Superposition
,”
Eng. Fract. Mech.
, Vol.
78
,
2011
, pp.
1389
1406
. https://doi.org/10.1016/j.engfracmech.2011.02.016
30.
Newman
, ,
J. C.
 Jr.
, “
A Crack-Closure Model for Predicting Fatigue Crack Growth under Aircraft Spectrum Loading
,”
Methods and Models for Predicting Fatigue Crack Growth under Random Loading, ASTM STP 748
,
J. B.
Chang
and
C. M.
Hudson
, Eds.,
American Society for Testing and Materials
,
Philadelphia
,
1981
, pp.
53
84
.
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