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ASTM Selected Technical Papers
Fracture Mechanics
By
PC Paris
PC Paris
1
Washington University
?
symposium chairman
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ISBN-10:
0-8031-0363-8
ISBN:
978-0-8031-0363-4
No. of Pages:
587
Publisher:
ASTM International
Publication date:
1980

A two failure criteria model based on plasticity limit load (LL) theory and linear elastic fracture mechanics (LEFM) is proposed for characterizing the fracture behavior of ductile structural metals. Failure is considered to occur at the lower load predicted by the two failure criteria. The variables involved in the two failure criteria model are: fracture toughness (Kc), tensile strength (Su), relative crack length (a/W), and geometry. A dimensionless parameter, Kc/SuW1/2 was defined. The fracture toughness failure criterion was found to dominate at low values of Kc/SuW1/2, and the LL failure criterion controls fracture at large values.

1.
Rice
,
J. R.
,
Journal of Applied Mechanics
 0021-8936, Vol.
35
,
1968
, pp. 379-386.
2.
Begley
,
J. A.
and
Landes
,
J. D.
in
Fracture Toughness
, ASTM STP 514,
American Society for Testing and Materials
,
1972
, pp. 1-23.
3.
Landes
,
J. D.
and
Begley
,
J. A.
in
Fracture Toughness
, ASTM STP 514,
American Society for Testing and Materials
,
1972
, pp. 24-39.
4.
Lawrence
,
F. V.
and
Cox
,
E. P.
,
Welding Journal Research Supplement
, Vol.
55
,
1976
, pp. 113s-120s.
5.
Lawrence
,
F. V.
, Jr.
and
Cox
,
E. P.
, “
The Effect of Lack of Penetration Defects on the Static Tensile Behavior of High-Strength Structural Steel Weldments
,” Technical Report UICU-ENG-73-2011,
09
1973
;
also Construction Engineering Research Laboratory Technical Report M-123, Champaign, Ill.
1975
.
6.
Lawrence
,
F. V.
, Jr.
, and
Cox
,
E. P.
, “
Influence of Heat Input and Lack of Penetration Length on Static Tensile Strength of High-Strength Structural Steel Weldments
,” Technical Report to Construction Engineering Research Laboratory,
06
1974
;
also Construction Engineering Laboratory Technical Report M-135, Champaign, Ill.,
1975
.
7.
Cox
,
E. P.
, unpublished research.
8.
Dowling
,
A. R.
and
Townley
,
C. H. A.
,
International Journal of Pressure Vessels and Piping
 0308-0161, Vol.
3
,
1975
, pp. 2-31.
9.
Drucker
,
D. C.
,
Prager
,
W.
and
Greenberg
,
H. J.
,
Quarterly of Applied Mathematics
 0033-569X, Vol.
9
,
1952
, pp. 381-389.
10.
Drucker
,
D. C.
in
Fracture
,
Liebowitz
H.
, Ed., Vol.
1
,
Academic Press
,
New York
,
1968
, pp. 474-529.
11.
McClintock
,
F. A.
,
Welding Journal Research Supplement
, Vol.
40
,
1961
, pp. 202s-208s.
12.
Rice
,
J. R.
in
The Surface Crack: Physical Problems and Computational Solutions
,
American Society of Mechanical Engineers
,
New York
,
1972
, pp. 171-185.
13.
Ewing
,
D. J. E.
and
Richards
,
L. E.
,
Journal of the Mechanics and Physics of Solids
 0022-5096, Vol.
22
,
1974
, pp. 27-36.
14.
Sailors
,
R. H.
, “
Relationship Between Tensile Properties and Microscopically Ductile Plane Strain Fracture Toughness
,” TAM Report No. 37,
University of Illinois
, Urbana, Ill.,
1973
.
15.
Zaverl
,
F.
 Jr.
, “
The Influence of Specimen Dimensions on a Jm Fracture Toughness Test
,” TAM Report No. 394,
University of Illinois
, Urbana, Ill.,
1974
.
16.
Carlson
,
K. W.
, private communication,
1977
.
17.
Landes
,
J. D.
and
Begley
,
J. A.
in
Fracture Analysis
, ASTM STP 560,
American Society for Testing and Materials
,
1974
, pp. 170-186.
18.
Paris
,
P. C.
,
Tada
,
T.
,
Zohoor
,
A.
, and
Ernest
,
H.
, “
Instability of the Tearing Mode of Elastic-Plastic Crack Growth
,” Washington University Report No. NRC 77-1, St. Louis, Mo.,
1977
.
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