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ASTM Selected Technical Papers
Fatigue Crack Propagation
By
J. C. Grosskreutz
J. C. Grosskreutz
1
Midwest Research Institute
,
Kansas City, Mo.
Search for other works by this author on:
ISBN-10:
0-8031-6633-8
ISBN:
978-0-8031-6633-2
No. of Pages:
549
Publisher:
ASTM International
Publication date:
1967

This paper surveys the continuum mechanics of deformation near cracks and its application to propagation by fatigue loadings. Results of various elastic-plastic models are summarized and compared in relation to hardening behavior, size effects, and large scale plastic yielding. The role of the elastic stress intensity factor variations in governing local plastic flow, and thus crack growth rates, is emphasized for the common high-cycle low-stress fatigue situations. General features of crack propagation are discussed, and theories are examined which seek to relate continuum analyses to separation mechanisms.

1.
Neuber
H.
,
Kerbspannungslehre
(English translation available from Edwards Bros., Ann Arbor, Mich.), 1st edition, Berlin,
1937
, and 2nd edition, Berlin,
1958
.
2.
Savin
G. N.
,
Stress Concentration Around Holes
,
Pergamon Press
,
New York
,
1961
.
3.
Irwin
G. R.
, “
Fracture Mechanics
,”
Structural Mechanics
(Proceedings of 1st Naval Symposium),
Pergamon Press
,
New York
,
1960
.
4.
Paris
P. C.
and
Sih
G. C.
, “
Stress Analysis of Cracks
,”
Fracture Toughness Testing and Its Applications
, ASTM STP 381,
Am. Soc. Testing Mats.
,
1965
.
5.
Muskhelishvili
N. I.
,
Some Basic Problems of the Mathematical Theory of Elasticity
,
P. Noordhoff
,
1953
.
6.
Paris
P. C.
and
Erdogan
F.
, “
A Critical Analysis of Crack Propagation Laws
,”
Transactions, Am. Soc. Mechanical Engrs., Series D (Journal Basic Engineering)
, Vol
85
, No.
4
,
1963
.
7.
Rice
J. R.
, “
Plastic Yielding at a Crack Tip
,”
Proceedings
, International Conference Fracture, Sendai, Japan,
1965
.
8.
Rice
J. R.
, “
Contained Plastic Deformation Near Cracks and Notches Under Longitudinal Shear
,”
International Journal of Fracture Mechanics
 0020-7268, June, 1966.
9.
Rice
J. R.
, “
Stresses Due to a Sharp Notch in a Work Hardening Elastic Plastic Material Loaded by Longitudinal Shear
,”
Journal of Applied Mechanics
 0021-8936. (to appear, ASME Paper 67-APM-l).
10.
Rice
J. R.
, “
On the Theory of Perfectly Plastic Anti-Plane Straining
,” Technical Report NSF GK-286/2,
Brown University
, March, 1966.
11.
Avery
D. H.
and
Backofen
W. A.
, “
Nucleation and Growth of Fatigue Cracks
,”
Fracture of Solids
,
John Wiley & Sons, Inc.
,
New York
,
1963
.
12.
Grosskreutz
J. C.
, “
A Critical Review of Micromechanisms in Fatigue
,”
Fatigue—An Interdisciplinary Approach
,
Syracuse University Press
,
Syracuse, N.Y.
,
1964
.
13.
Prager
W.
and
Hodge
,
P. G.
 Jr.
,
Theory of Perfectly Plastic Solids
,
John Wiley & Sons, Inc.
,
New York
,
1951
.
14.
McClintock
F. A.
and
Irwin
G. R.
, “
Plasticity Aspects of Fracture Mechanics
,”
Fracture Toughness Testing and Its Applications, ASTM STP 381
,
Am. Soc. Testing Mats.
,
1965
.
15.
Hult
J. A.
and
McClintock
F. A.
, “
Elastic-Plastic Stress and Strain Distribution Around Sharp Notches Under Repeated Shear
,” 9th International Congress Applied Mechanics, Vol
8
, Brussels,
1956
.
16.
Irwin
G. R.
and
Koskinen
M. F.
, discussion and author's closure to Ref 17.
17.
Koskinen
M. F.
, “
Elastic-Plastic Deformation of a Single Grooved Flat Plate Under Longitudinal Shear
,”
Transactions, Am. Soc. Mechanical Engrs., Series D (Journal Basic Engineer)
, Vol
85
,
1963
.
18.
Neuber
H.
, “
Theory of Stress Concentration for Shear Strained Prismatical Bodies with Arbitrary Non-Linear Stress Strain Law
,”
Journal Applied Mechanics
 0021-8936, Vol
28
, December, 1961.
19.
Grosskreutz
J. C.
, “
A Theory of Stage II Fatigue Crack Propagation
,” Report AFML-TR-64-415,
Air Force Materials Laboratory
, March, 1965.
20.
Weiss
V.
, “
Analysis of Crack Propagation in Strain-Cycling Fatigue
,” in
Fatigue—An Interdisciplinary Approach
,
Syracuse University Press
,
Syracuse, N. Y.
,
1964
.
21.
Rhee
S.
and
McClintock
F. A.
, “
On the Effects of Strain-Hardening on Strain Concentrations
,”
Proceedings
, 4th National Congress Applied Mechanics,
Am. Soc. Mechanical Engrs.
,
1962
.
22.
Barenblatt
G. I.
, “
Mathematical Theory of Equilibrium Cracks in Brittle Fracture
,” in
A avances in Applied Mechanics
, Vol
VII
,
Academic Press
,
New York
,
1962
.
23.
Dugdale
D. S.
, “
Yielding of Steel Sheets Containing Slits
,”
Journal of Mechanics and Physics of Solids
 0022-5096, Vol
8
,
1960
.
24.
Bilby
B. A.
,
Cottrell
A. H.
, and
Swinden
K. H.
, “
The Spread of Plastic Yield From a Notch
,”
Proceedings
,
Royal Society A
, Vol
272
,
1963
.
25.
Goodier
J. N.
and
Field
F. A.
, “
Plastic Energy Dissipation in Crack Propagation
,”
Fracture of Solids
,
John Wiley & Sons, Inc.
,
New York
,
1963
.
26.
Field
F. A.
, “
Yielding in a Cracked Plate Under Longitudinal Shear
,”
Journal Applied Mechanics
 0021-8936, Vol
30
,
1963
.
27.
Smith
E.
, “
Fracture at Stress Concentrations
,”
Proceedings
, International Conference Fracture,
Sendai, Japan
,
1965
.
28.
Keer
L. M.
and
Mura
T.
, “
Stationary Crack and Continuous Distributions of Dislocations
,”
Proceedings
, International Conference Fracture,
Sendai, Japan
,
1965
.
29.
Hahn
G. T.
and
Rosenfield
A. R.
, “
Local Yielding and Extension of a Crack Under Plane Stress
,”
Acta Metallurgica
 0001-6160, Vol
13
, no.
3
,
1965
.
30.
Bilby
B. A.
and
Swinden
K. H.
, “
Representation of Plasticity at Notches by Linear Dislocation Arrays
,”
Proceedings
,
Royal Society A
, Vol
285
,
1965
.
31.
Hill
R.
,
The Mathematical Theory of Plasticity
,
Clarendon Press
,
Oxford
,
1950
.
32.
Drucker
D. C.
, “
A Continuum Approach to the Fracture of Metals
,” in
Fracture of Solids
,
John Wiley & Sons, Inc.
,
New York
,
1963
.
33.
McClintock
F. A.
, “
Effect of Root Radius, Stress, Crack Growth, and Rate on Fracture Instability
,”
Proceedings
,
Royal Society A
, Vol
285
,
1965
.
34.
Morrow
J. D.
, “
Cyclic Plastic Strain Energy and Fatigue of Metals
,”
Internal Friction, Damping, and Cyclic Plasticity, ASTM STP 378
,
Am. Soc. Testing Mats.
,
1965
.
35.
Donaldson
D. R.
and
Anderson
W. E.
, “
Crack Propagation Behavior of Some Airframe Materials
,”
Proceedings
, Crack Propagation Symposium,
Cranfield
,
College of Aeronautics
,
1962
.
36.
Swedlow
J. L.
,
Williams
M. L.
, and
Yang
W. H.
, “
Elasto-Plastic Stresses and Strains in Cracked Plates
,”
Proceedings
, International Conference Fracture,
Sendai, Japan
,
1965
.
37.
Rosenfield
R.
,
Dai
P. K.
, and
Hahn
G. T.
, “
Crack Extension and Propagation Under Plane Stress
,”
Proceedings
, International Conference Fracture, Sendai, Japan,
1965
.
38.
Dixon
D. R.
and
Strannigan
J. S.
, “
Strain Distributions Around Cracks in Ductile Sheets During Loading and Unloading
,”
Journal Mechanical Engineering Science
 0022-2542, Vol
7
, No.
3
,
1965
.
39.
Thompson
N.
and
Wadsworth
N. J.
, “
Metal Fatigue
,”
Advances in Physics (Supplement to Philosophical Magazine)
, Vol
7
,
1958
.
40.
Frost
N. E.
, “
The Growth of Fatigue Cracks
,”
Proceedings
, International Conference Fracture,
Sendai, Japan
,
1965
.
41.
Hertzberg
R. W.
, “
Application of Electron Fractography and Fracture Mechanics to Fatigue Crack Propagation in High Strength Aluminum Alloys
,” Ph.D. thesis,
Lehigh University
, Bethlehem, Pa.,
1965
.
42.
McEvily
,
A. J.
 Jr.
,
Boettner
R. C.
, and
Johnston
T. L.
, “
On the Formation and Growth of Fatigue Cracks in Polymers
,”
Fatigue—An Interdisciplinary Approach
,
Syracuse University Press
,
Syracuse, N. Y.
,
1964
.
43.
Laird
C.
and
Smith
G. C.
, “
Crack Propagation in High Stress Fatigue
,”
Philosophical Magazine
 1478-6435, Vol
7
,
1962
.
44.
Liu
H. W.
, “
Fatigue Crack Propagation and the Stresses and Strains in the Vicinity of a Crack
,”
Applied Materials Research
 0570-4847, Vol
3
, No.
4
,
1964
.
45.
Irwin
G. R.
, “
Fracture Mode Transition for a Crack Traversing a Plate
,”
Transactions, Am. Soc. Mechanical Engrs., Series D. (Journal Basic Engineering)
, Vol
82
, No.
2
,
1960
.
46.
Paris
P. C.
,
Gomez
M. P.
, and
Anderson
W. E.
, “
A Rational Analytic Theory of Fatigue
,”
Trend in Engineering
, (
University of Washington
),
Seattle, Washington
, Vol
13
, No. 1,
1961
.
47.
Paris
P. C.
, “
The Fracture Mechanics Approach to Fatigue
,”
Fatigue—An Interdisciplinary Approach
,
Syracuse University Press
,
Syracuse, N. Y.
,
1964
.
48.
Schijve
J.
and
Jacobs
F. A.
, “
Fatigue Crack Propagation in Unnotched and Notched Aluminum Alloy Specimens
,”
NLR-TR M.2128
, Amsterdam,
1964
.
49.
Schijve
J.
,
Nederveen
A.
, and
Jacobs
F. A.
, “
The Effect of Sheet Width on the Fatigue Crack Propagation in 2024-T3 Alclad Material
,”
NLR-TR M. 2142
, Amsterdam,
1965
.
50.
McEvily
A. J.
and
Illg
W.
, “
The Rate of Fatigue Crack Propagation in Two Aluminum Alloys
,”
NACA-TN 4394
,
1958
.
51.
Illg
W.
and
McEvily
A. J.
, “
The Rate of Fatigue Crack Propagation for Two Aluminum Alloys Under Completely Reversed Loading
,”
NASA TN-D-52
,
1959
.
52.
Paris
P. C.
, “
The Growth of Cracks Due to Variations in Loads
,” Ph.D. thesis,
Lehigh University
, Bethlehem, Pa.,
1962
.
53.
Broek
D.
and
Schijve
J.
, “
The Effect of Sheet Thickness on the Fatigue-Crack Propagation in 2024-T3 Alclad Sheet Materials
,”
NLR-TR M.2129
, Amsterdam,
1963
.
54.
Hardrath
H. F.
, “
Cumulative Damage
,”
Fatigue—Interdisciplinary Approach
,
Syracuse University Press
,
Syracuse, N. Y.
,
1964
.
55.
Rice
J. R.
and
Beer
F. P.
, “
On the Distribution of Rises and Falls in a Continuous Random Process
,”
Transactions, Am. Soc. Mechanical Engrs., Series D (Journal Basic Engineering)
, Vol
87
, No.
2
,
1965
.
56.
Rice
J. R.
,
Beer
F. P.
, and
Paris
P. C.
, “
On the Prediction of Some Random Loading Characteristics Relevant to Fatigue
,”
Acoustical Fatigue in Aerospace Structures
,
Syracuse University Press
,
Syracuse, N. Y.
,
1965
.
57.
Smith
S. H.
, “
Fatigue Crack Growth Under Axial Narrow and Broad Band Random Loading
,”
Acoustical Fatigue in Aerospace Structures
,
Syracuse University Press
,
New York, N. Y.
,
1965
.
58.
Hardrath
H.
and
Naumann
E. C.
, “
Variable Amplitude Fatigue Tests of Aluminum-Alloy Specimens
,”
Fatigue in Aircraft Structures, ASTM STP 274
,
Am. Soc. Testing Mats.
,
1959
.
59.
Erdogan
F.
and
Roberts
R.
, “
A Comparative Study of Crack Propagation in Plates Under Extension and Bending
,”
Proceedings
, International Conference Fracture,
Sendai, Japan
,
1965
.
60.
Head
A. K.
, “
The Growth of Fatigue Cracks
,”
Philosophical Magazine
 1478-6435, Vol
44
, Series 7,
1953
.
61.
Head
A. K.
, “
The Propagation of Fatigue Cracks
,”
Journal Applied Mechanics
 0021-8936, Vol
23
, September, 1956.
62.
McClintock
F. A.
, “
On the Plasticity of the Growth of Fatigue Cracks
,”
Fracture of Solids
,
John Wiley & Sons, Inc.
,
New York
,
1963
.
63.
Rice
J. R.
, “
Fatigue Crack Growth Model: Some General Comments and Preliminary Study of the Rigid Plastic Strip Model
,”
Lehigh University Institute Research Report
, December, 1962.
64.
Weertman
J.
, “
Rate of Growth of Fatigue Cracks as Calculated from the Theory of Infinitesimal Dislocations Distributed on a Plane
,”
Proceedings
, International Conference Fracture,
Sendai, Japan
,
1965
.
65.
Frost
N. E.
and
Dugdale
D. S.
, “
The Propagation of Fatigue Cracks in Sheet Specimens
,”
Journal Mechanics Physical Solids
 0022-5096, Vol
6
, No.
2
,
1958
.
66.
Liu
H. W.
, “
Crack Propagation in Thin Metal Sheets Under Repeated Loading
,”
Transactions, Am. Society Mechanical Engrs., Series D (Journal Basic Engineering)
, Vol
83
, No.
1
,
1961
.
67.
Liu
H. W.
, “
Fatigue Crack Propagation And Applied Stress Range—An Energy Approach
,”
Transactions, Am. Soc. Mechanical Engrs., Series D (Journal Basic Engineering)
, Vol
85
, No.
1
,
1963
.
68.
Liu
H. W.
, discussion of Ref 47.
69.
Westwood
A. R. C.
, “
Environment Sensitive Mechanical Behavior—Status and Problems
,” Technical Report 65-5,
RIAS (Martin Co.)
, June, 1965.
70.
Frost
N. E.
, “
The Effect of Environment on the Propagation of Fatigue Cracks in Mild Steel
,”
Applied Materials Research
 0570-4847, Vol
3
, No.
3
,
1964
.
71.
Bennett
J. A.
, “
Effect of Reactions with the Atmosphere During Fatigue of Metals
,”
Fatigue—An Interdisciplinary Approach
,
Syracuse University Press
,
Syracuse, N. Y.
,
1964
.
72.
Rogers
H. C.
, “
The Tensile Fracture of Ductile Metals
,”
Transactions
,
Am. Institute Mining, Metallurgical, and Petroleum Engrs.
, Vol
218
,
1960
.
73.
McClintock
F. A.
and
Ryan
F. J.
, “
On the Rate of Growth of Fatigue Cracks
,”
Journal Applied Mechanics
 0021-8936, Vol
76
,
1954
.
74.
Wells
A. A.
, “
Application of Fracture Mechanics At and Beyond General Yielding
,”
British Welding Journal
 0524-6806, November, 1963.
75.
Coffin
,
L. F.
 Jr.
, “
Low Cycle Fatigue—A Review
,”
Applied Materials Research
 0570-4847, Vol
1
, No.
3
,
1962
.
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