Abstract

There are several methods available to measure residual stress fields present within a structural component. Recently a new so called on-line crack compliance technique has been proposed, which is based on linear elastic fracture mechanics. This experimental method uses incremental crack mouth opening displacements measured during fatigue crack growth testing to generate information on the existing residual stresses along the crack line. The present study employs two dimensional (2D) plane stress finite element simulations of fatigue crack growth from a cold worked hole to investigate the performance of this technique. Using the simulation results, the stress intensity factors due to the residual stress field normalized by the maximum applied stress intensity factor KIrs/KImax were obtained from the on-line crack compliance method. For validation, the J-integral approach was used to calculate KIrs/KImax values from fatigue crack growth simulations in an elastic material. The two methods generated nearly identical results. Fatigue crack growth was also simulated in an elastic-plastic material. Even though the stress intensity factor is not the appropriate crack tip characterizing technique for elastic-plastic material conditions, it is still investigated here to approximate the actual testing conditions, where plastic deformation near the crack tip is unavoidable. The KIrs/KImax solutions are presented for different cold work levels and applied loadings. Results indicate that the agreement between the elastic and elastic-plastic crack growth solutions is dependent on the maximum applied loading level, as might be expected.

References

1.
Withers
,
P. J.
and
Bhadeshia
,
H. K. D. H.
, “
Overview: Residual Stress Part 1 - Measurement techniques
,”
Mater. Sci. Technol.
, Vol.
17
,
2001
, pp.
355
365
. https://doi.org/10.1179/026708301101509980
2.
Withers
,
P. J.
and
Bhadeshia
,
H. K. D. H.
, “
Overview: Residual Stress Part 2 - Measurement techniques
,”
Mater. Sci. Technol.
, Vol.
17
,
2001
, pp.
366
375
. https://doi.org/10.1179/026708301101510087
3.
James
,
M. R.
and
Lu
J.
Handbook of Measurement of Residual Stresses
,”
J.
Lu
, Ed.,
Society for Experimental Mechanics
,
Lilburn, GA
,
1996
, pp.
1
4
.
4.
E837–01
,
2006
, “
Standard Test Method For Determining Residual Stresses By The Hole-Drilling Strain-Gage Method
,”
Annual Book of ASTM Standards
,
ASTM International
,
West Conshohocken, PA
, pp.
724
733
.
5.
Schindler
,
H. J.
,
1998
, “
Experimental Determination of Crack Closure by the Cut Compliance Technique
,”
Advances in Fatigue Crack Closure Measurement and Analysis
, ASTM STP 1343,
R. C.
McClung
and
J. C.
Newman
, Jr.
, Eds.,
ASTM International
,
West Conshohocken, PA
.
6.
Ritchie
,
D
and
Leggatt
,
R. H.
, “
The Measurement of the Distribution of Residual Stress through the Thickness of a Welded Joint
,”
Strain
, Vol.
23
, No.
2
,
1987
, pp.
61
70
. https://doi.org/10.1111/j.1475-1305.1987.tb00618.x
7.
Schajer
,
G. S.
and
Prime
,
M. B.
, “
Use of Inverse Solutions for Residual Stress Measurement
,”
J. Eng. Mater. Technol.
Vol.
128
, No.
3
,
2006
, pp.
375
382
. https://doi.org/10.1115/1.2204952
8.
Prime
,
M. B.
, “
Cross-Sectional Mapping of Residual Stresses by Measuring the Surface Contour after a Cut
,”
J. Eng. Mater. Technol.
, Vol.
123
,
2006
pp.
162
168
. https://doi.org/10.1115/1.1345526
9.
Schindler
,
H. J.
, “
Residual Stress Measurement in Cracked Components: Capabilities and Limitations of the Cut Compliance Method
,”
Mater. Sci. Forum
, Vol.
347–349
,
2000
, pp.
150
155
. https://doi.org/10.4028/www.scientific.net/MSF.347-349.150
10.
Prime
,
M. B.
Residual Stress Measurement by Successive Extension of a Slot: The Crack Complance Method
,”
Appl. Mech. Rev.
, Vol.
52
, No.
2
,
1999
, pp.
75
96
. https://doi.org/10.1115/1.3098926
11.
Cheng
,
W.
and
Finnie
,
I.
, “
Measurement of Residual Hoop Stresses in Cylinders Using the Compliance Method
,”
ASME J. Eng. Mater. Technol.
, Vol.
108
,
1986
, pp.
87
92
. https://doi.org/10.1115/1.3225864
12.
Cheng
,
W.
and
Finnie
,
I.
, “
An Overview of the Crack Compliance Method For Residual Stress Measurement
,”
Proceedings of the 4th International Conference on Residual Stress
,
Society Experimental Mechanics
,
Baltimore
,
1994
, pp.
449
458
.
13.
Lados
,
D. A.
,
Apelian
,
D.
, and
Donald
J. K.
Fracture Mechanics Analysis for Residual Stress and Crack Closure Corrections
,”
Int. J. Fatigue
, Vol.
29
,
2007
, pp.
687
694
. https://doi.org/10.1016/j.ijfatigue.2006.07.002
14.
Lados
,
D. A.
and
Apelian
,
D.
The Effect of Residual Stress on the Fatigue Crack Growth Behavior of Al-Si-Mg Cast Alloys - Mechanisms and Corrective Mathematical Models
,”
Metall. Mater. Trans. A
, Vol.
37A
,
2006
, pp.
133
145
. https://doi.org/10.1007/s11661-006-0159-y
15.
Donald
,
J. K.
and
Lados
,
D. A.
An Integrated Methodology for Separating Closure and Residual Stress Effects from Fatigue Crack Growth Rate Data
,”
Fatigue Fract. Eng. Mater. Struct.
, Vol.
30
,
2006
, pp.
223
230
.
16.
Frija
,
M.
, et al
Finite Element Modeling of Shot Peening Process: Prediction of the Compressive Residual Stresses, the Plastic Deformations and the Surface Integrity
,”
Mater. Sci. Eng. A
, Vol.
426
,
2006
, pp.
173
180
. https://doi.org/10.1016/j.msea.2006.03.097
17.
Ding
,
K.
and
Ye
,
L.
, “
FEM Simulation of Two Sided Laser Shock Peening of Thick Sections of Ti-6Al-4V Alloy
,”
Surf. Eng.
, Vol.
19
, No.
2
,
2003
, pp.
127
133
. https://doi.org/10.1179/026708403225002568
18.
Ismonov
,
S.
,
Daniewicz
,
S. R.
,
Newman
,
J. C.
, Jr.
,
Hill
,
M. R.
,
Urban
,
M. R.
, “
Three Dimensional Finite Element Analysis of a Split-Sleeve Cold Expansion Process
,”
J. Eng. Mater Technol.
, Vol.
131
, No.
3
,
2009
, 031007. https://doi.org/10.1115/1.3120392
19.
Prime
,
M. B.
, “
Measuring Residual Stress and the Resulting Stress Intensity Factor in Compact Tension Specimens
,”
Fatigue Fract. Eng. Mater. Struct.
, Vol.
22
,
1999
, pp.
195
204
. https://doi.org/10.1046/j.1460-2695.1999.00155.x
20.
De Swardt
,
R. R.
, “
Finite Element Simulation of Crack Compliance Experiments to Measure Residual Stresses in Thick-Walled Cylinders
,”
J Pressure Vessel Technol.
, Vol.
125
,
2003
, pp.
305
308
. https://doi.org/10.1115/1.1593076
21.
Anderson
,
T.L.
,
Fracture Mechanics: Fundamentals and Applications
, 3rd ed.,
CRC Press
,
Boca Raton, FL
,
2005
, pp.
108
110
.
22.
Rice
,
R. C.
,
Jackson
,
J. L.
,
Bakuckas
,
J.
, and
Thompson
,
S.
, “
Metallic Materials Properties Development and Standardization
,” Report No. MMPDS-01 DOT/FAA, U.S. Dept. of Transportation, Federal Aviation Administration, and Office of Aviation Research, WA, D.C.,
2003
, p.
3
402
.
23.
De Matos
,
P. F. P.
, “
Numerical Simulation of Cold Working of Rivet Holes
,”
Finite Elem. Anal. Design
, Vol.
41
,
2005
, pp.
989
1007
. https://doi.org/10.1016/j.finel.2005.01.001
24.
Newman
,
J. C.
, Jr.
, “
A Finite-Element Analysis of Fatigue Crack Closure
,”
ASTM STP
, Vol.
590
,
1976
, pp.
281
301
.
25.
Roychowdhury
,
S.
and
Dodds
,
R. H.
, Jr.
Three-Dimensional Effects on Fatigue Crack Closure in the Small-Scale Yielding Regime – A Finite Element Study
,”
Fatigue Fract. Eng. Mater. Struct.
, Vol.
26
,
2003
, pp.
663
73
. https://doi.org/10.1046/j.1460-2695.2003.00655.x
26.
Ismonov
,
S.
and
Daniewicz
,
S. R.
Simulation and Comparison of Several Crack Closure Assessment Methodologies Using Three-Dimensional Finite Element Analysis
,”
Int. J. Fatigue.
, Vol.
32
, No.
8
,
2010
, pp.
1322
1329
. https://doi.org/10.1016/j.ijfatigue.2010.01.016
27.
ANSYS Release 13.0 Online Documentation, ANSYS Inc., Chap. 13.3.1.
28.
Shih
,
C. F.
,
Moran
,
B.
, and
Nakamura
,
T.
Energy Release Rate Along a Three-Dimensional Crack Front in a Thermally Stressed Body
,”
Int. J. Fract.
, Vol.
30
, No.
2
,
1986
, pp.
79
102
.
29.
Tada
,
H.
,
Paris
,
P. C.
, and
Irwin
,
G. R.
The Stress Analysis Of Cracks Handbook
, Appendix B, 3rd ed.,
ASME
,
NY, NY
,
2000
.
This content is only available via PDF.
You do not currently have access to this content.