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Fracture Mechanics: Twenty-Third Symposium
ASTM Selected Technical Papers
Fracture Mechanics: Twenty-Third Symposium
By
R Chona
R Chona
1Department of Mechanical Engineering,
Texas A&M University
,
College Station, Texas
;
symposium chairman and editor
.
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ISBN-10:
0-8031-1867-8
ISBN:
978-0-8031-1867-6
No. of Pages:
874
DOI:
https://doi.org/10.1520/STP1189-EB
Publisher:
ASTM International
Publication date:
1993
eBook Chapter

The Conditions at Ductile Fracture in Tension Tests

By
RJ Dexter
RJ Dexter
1
ATLSS Center, Lehigh University
,
Bethlehem, PA 18015-4729
.
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,
S Roy
S Roy
2Engineering and Materials Sciences Division,
Southwest Research Institute
,
San Antonio, TX 78228-0510
.
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Doi:
https://doi.org/10.1520/STP24267S
Page Count:
18
  • Published:
    1993

The geometry dependence of several potential criteria for the onset of ductile fracture in tension tests was investigated for a modern tremethylcyclopentanone (TMCP) line pipe steel using an experimental/numerical approach. Large-strain finite-element simulations were used to estimate the state of stress and strain in highly instrumented notched and smooth tension tests of various geometries. The softening effect of void growth became significant only after the specimens had undergone extensive necking and had lost most of their load-carrying capacity. Therefore, for this steel, a practical fracture criterion can be based on the conditions at the onset of significant void growth, eliminating the need for void-growth modeling. At the onset of significant void growth, the maximum principal strain, the effective strain, and the strain energy density were independent of the tension-test geometry.

Keywords:
ductile fracture, steels, tension tests, large-deformation analysis, finite-element method, necking, fracture mechanics, fatigue (materials)

References

1.
Miller
,
A. G.
, “
Review of Limit Loads of Structures Containing Defects
,”
International Journal of Pressure Vessels and Piping
 0308-0161, Vol.
32
,
1988
, pp. 107–327.
2.
Chen
,
X.
,
Albrecht
,
P.
, and
Joyce
,
J.
, “
Limit Pressure Analysis of Cylindrical Vessel with Longitudinal Crack
,” in this volume.
3.
Hu
,
J. M.
,
Cheng
,
J. G.
,
Albrecht
,
P.
, and
Joyce
,
J. A.
, “
Ductile Crack Extension in Compact Specimens at Limit Load
,”
Proceedings
, Seventh International Conference on Fracture (ICF7),
Advances in Fracture Research
,
Houston
,
03
1989
,
Salama
 
K.
 et al, Eds.,
Pergamon Press
,
Oxford, UK
,
1989
.
4.
Thomason
,
P. F.
,
Ductile Fracture of Metals
,
Pergamon Press
,
Oxford, UK
,
1990
.
5.
Wilsdorf
,
H. G. F.
, “
Review Paper—The Ductile Fracture of Metals: A Microstructural Viewpoint
,”
Materials Science and Engineering
 0025-5416, Vol.
59
,
1983
, pp. 1–39.
6.
McClintock
,
F. A.
, “
A Criterion for Ductile Fracture by the Growth of Holes
,”
Journal of Applied Mechanics, Transactions ASME Series E
, Vol.
35
,
06
1968
, pp. 363–371.
7.
Knott
,
J. F.
, “
Some Effects of Hydrostatic Tension on the Fracture Behavior of Mild Steel
,”
Journal of the Iron and Steel Institute
, Vol.
204
, No.
2
,
02
1966
, pp. 104–111.
8.
Orowan
,
E.
, “
Fracture and Strength of Solids
,”
Reports on Progress in Physics
 0034-4885, Vol.
12
, pp. 185–232.
9.
Kanninen
,
M. F.
 and
Popelar
,
C. H.
,
Advanced Fracture Mechanics
,
Oxford University Press
,
New York
,
1985
.
10.
Rice
,
J. R.
, “
A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks
,”
Journal of Applied Mechanics
 0021-8936,
06
1968
, pp. 379–386.
11.
Hutchinson
,
J. W.
, “
Fundamentals of the Phenomenological Theory of Nonlinear Fracture Mechanics
,”
Journal of Applied Mechanics
 0021-8936, Vol.
50
,
12
1983
, pp. 1042–1051.
12.
McMeeking
,
R. M.
 and
Parks
,
D. M.
, “
On Criteria for J-Dominance of Crack-Tip Fields in Large-Scale Yielding
,”
Elastic-Plastic Fracture
, ASTM STP 668,
Landes
 
J. D.
,
Begley
 
J. A.
, and
Clarke
 
G. A.
, Eds.
American Society for Testing and Materials
,
Philadelphia
,
1979
, pp. 175–194.
13.
Rice
,
J. R.
 and
Sorensen
,
E. P.
, “
Continuing Crack-Tip Deformation and Fracture for Plane-Strain Crack Growth in Elastic-Plastic Solids
,”
Journal of Mechanics and Physics of Solids
, Vol.
26
,
03
1978
, pp. 163–186.
14.
Rice
,
J. R.
,
Proceedings
, Conference on Mechanics and Mechanisms of Crack Growth,
Cambridge, UK
,
04
1973
,
May
 
M. J.
, Ed.,
British Steel Corp. Physical Metallurgy Centre Publication
,
1975
, pp. 14–39.
15.
Parks
,
D. M.
,
Lam
,
P. S.
, and
McMeeking
,
R. M.
, “
Some Effects of Inelastic Constitutive Models on Crack Tip Fields in Steady Quasistatic Growth
,”
Proceedings
, Fifth International Conference on Fracture (ICF5),
Advances in Fracture Research
,
Cannes, France
,
1981
,
Francois
 
D.
, Ed.,
Pergamon Press
,
Oxford, UK
,
1981
, pp. 2607–2614.
16.
Shih
,
C. F.
,
deLorenzi
,
H. G.
, and
Andrews
,
W. R.
, “
Studies on Crack Initiation and Stable Crack Growth
,”
Elastic-Plastic Fracture
, ASTM STP 668,
Landes
 
J. D.
,
Begley
 
J. A.
, and
Clarke
 
G. A.
, Eds.,
American Society for Testing and Materials
,
Philadelphia
,
1979
, pp. 65–120.
Google Scholar
Crossref
Search ADS
 
17.
Hutchinson
,
J. W.
 and
Paris
,
P. C.
, “
Stability Analysis of J-Controlled Crack Growth
,”
Elastic-Plastic Fracture
, ASTM STP 668,
Landes
 
J. D.
,
Begley
 
J. A.
, and
Clarke
 
G. A.
, Eds.,
American Society for Testing and Materials
,
Philadelphia
,
1979
, pp. 37–64.
18.
Zahoor
,
A.
 and
Kanninen
,
M. F.
, “
A Plastic Fracture Mechanics Prediction of Fracture Instability in a Circumferentially Cracked Pipe in Bending—Part I: J-Integral Analysis
,”
Journal of Pressure Vessel Technology
 0094-9930, Vol.
103
,
11
1981
, pp. 352–358.
19.
Garwood
,
S. J.
, “
Geometry and Orientation Effects on Ductile Crack Growth Resistance
,”
International Journal of Pressure Vessel and Piping
 0308-0161, Vol.
10
,
1982
, pp. 297–319.
20.
Clausmeyer
,
H.
,
Kussmaul
,
K.
, and
Roos
,
E.
, “
Influence of Stress State on the Failure Behavior of Cracked Components Made of Steel
,”
Applied Mechanics Review
 0003-6900, Vol.
44
, No.
2
,
02
1991
, pp. 77–92.
21.
Roy
,
S.
 and
Dexter
,
R.
, “
Ductile Fracture of Viscoplastic Materials Involving Large Deformation
,” Final Report, SwRI Project 06-9563,
Southwest Research Institute
, San Antonio, TX,
10
1990
.
22.
Rice
,
J. R.
 and
Johnson
,
M. A.
, “
The Role of Large Crack Tip Geometry Changes in Plane Strain Fracture
,”
Inelastic Behavior of Solids
,
Kanninen
 
M. F.
 et al, Eds.,
McGraw-Hill
,
New York
,
1969
, pp. 641–672.
23.
McMeeking
,
R. M.
, “
Finite Deformation Analysis of Crack-Tip Opening in Elastic-Plastic Materials and Implications for Fracture
,”
Journal of the Mechanics and Physics of Solids
 0022-5096, Vol.
25
,
1977
, pp. 357–381.
24.
Ritchie
,
R. O.
,
Server
,
W. L.
, and
Wullaert
,
R. A.
, “
Critical Fracture Stress and Fracture Strain Models for the Prediction of Lower and Upper Shelf Toughness in Nuclear Pressure Vessel Steels
,”
Metallurgical Transactions A
, Vol.
10A
,
10
1979
, pp. 1557–1570.
25.
Roy
,
S.
 and
Dexter
,
R. J.
, “
A Computational Procedure for the Simulation of Ductile Fracture with Large Plastic Deformation
,”
Engineering Fracture Mechanics
 0013-7944,
1993
.
26.
Roy
,
S.
,
Fossum
,
A. F.
, and
Dexter
,
R. J.
, “
On the Use of Polar Decomposition in the Integration of Hypoelastic Constitutive Laws
,”
Engineering Fracture Mechanics
 0013-7944, Vol.
30
, No.
2
,
1992
, pp. 119–133.
27.
Dexter
,
R. J.
 and
Kanninen
,
M. F.
, “
Effect of Increased Yield-to-Ultimate Tensile Strength on Dynamic Fracture Toughness of Pipeline Steels
,” Final Report, SwRI Project 06-6147-009,
Southwest Research Institute
, San Antonio, TX,
10
1987
.
28.
Williams
,
D. R.
,
Davidson
,
D. L.
, and
Lankford
,
J.
, “
Fatigue-crack-tip Plastic Strains by the Stereoimaging Technique
,”
Experimental Mechanics
, Vol.
20
,
1980
, pp. 132–139.
29.
Bridgman
,
P. W.
,
Studies in Large Plastic Flow and Fracture
,
McGraw-Hill
,
New York
,
1952
.
30.
Davidenkov
,
N. N.
 and
Spiridonova
,
N. I.
, “
Mechanical Methods of Testing, Analysis of the State of Stress in the Neck of a Tension Test Specimen
,”
Proceedings
,
American Society for Testing and Materials
,
Philadelphia
, Vol.
46
,
1946
, pp. 1147–1158.
31.
Dienes
,
J. K.
 “
On the Analysis of Rotation and Stress Rates in Deforming Bodies
,”
Acta Mechanica
, Vol.
32
,
1979
, pp. 217–232.
32.
Atkins
,
A. G.
 and
Mai
,
Y. W.
, “
Fracture Strains in Sheet Metalforming and Specific Essential Work of Fracture
,”
Engineering Fracture Mechanics
 0013-7944, Vol.
27
, No.
3
,
1987
, pp. 291–297.
33.
Atkins
,
A. G.
 and
Mai
,
Y. W.
,
Elastic and Plastic Fracture
,
Ellis Horwood/John Wiley
,
Chichester, UK
,
1985
.
34.
Clift
,
S. E.
,
Hartley
,
P.
,
Sturgess
,
C. E. N.
, and
Rowe
,
G. W.
, “
Fracture Prediction in Plastic Deformation Processes
,”
International Journal of Mechanics and Science
 0020-7403, Vol.
32
,
1990
, pp. 1–17.
35.
Rice
,
J. R.
 and
Tracey
,
D. M.
, “
On the Ductile Enlargement of Voids in Triaxial Stress Fields
,”
Journal of the Mechanics and Physics of Solids
 0022-5096, Vol.
17
,
1969
, pp. 201–217.
36.
McClintock
,
F. A.
,
Kaplan
,
S. M.
, and
Berg
,
C. A.
, “
Ductile Fracture by Hole Growth in Shear Bands
,”
International Journal of Fracture Mechanics
, Vol.
2
, No.
4
,
1966
, pp. 614–627.
37.
Bates
,
R. C.
, “
Mechanics and Mechanisms of Fracture
,”
Proceedings
, USA-China Bilateral Conference,
The Metallurgical Society of the American Institute of Mining, Metallurgical, and Petroleum Engineers
,
Warrendale, PA
,
1981
.
38.
Bethmont
,
M.
,
Rousselier
,
G.
, and
Devesa
,
G.
, “
Effect of Specimen Geometry on J-Resistance Curves in Near Small-Scale Yielding Conditions
,”
Advances in Fracture Research, Proceedings
, Seventh International Conference on Fracture (ICF7),
Houston
, 20–24 March 1989,
Salama
 
K.
 et alet al, Eds.,
Pergamon Press
,
Oxford, UK
,
1989
.
39.
Schmitt
,
W.
,
Sun
,
D.-Z.
, and
Kienzler
,
R.
, “
Application of Micro-Mechanical Models to the Prediction of Ductile Fracture
,”
Localized Damage Computer-Aided Assessment and Control, Vol. 1: Fatigue and Fracture Mechanics, Proceedings
, First International Conference on Computer-Aided Assessment and Control of Localized Damage,
Portsmouth, UK
, 26–28 June 1990.
40.
Sun
,
D.-Z.
,
Siegele
,
D.
,
Voss
,
B.
, and
Schmitt
,
W.
, “
Application of Local Damage Models to the Numerical Analysis of Ductile Rupture
,”
Fatigue Fracture Engineering Materials and Structures
 8756-758X, Vol.
12
, No.
3
,
1989
, pp. 201–212.
41.
Gurson
,
A. L.
, “
Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part 1—Yield Criteria and Flow Rules for Porous Ductile Media
,”
Journal of Engineering Materials and Technology
 0094-4289, Vol.
99
,
1977
, pp. 2–15.
42.
Tvergaard
,
V.
, “
On Localization in Ductile Materials Containing Spherical Voids
,”
International Journal of Fracture
, Vol.
18
,
1984
, pp. 237–252.
43.
Tvergaard
,
V.
 and
Needleman
,
A.
 “
Analysis of the Cup-Cone Fracture in a Round Tensile Bar
,”
Acta Metallurgica
 0001-6160, Vol.
32
,
1984
, pp. 157–169.
44.
Sih
,
G. C.
 and
Madenci
,
E.
, “
Prediction of Failure in Weldments—Part 1: Smooth Joint
,”
Theoretical and Applied Fracture Mechanics
, Vol.
3
,
1985
, pp. 23–29.
45.
Sih
,
G. C.
 and
Madenci
,
E.
, “
Fracture Initiation Under Gross Yielding: Strain Energy Density Criterion
,”
Engineering Fracture Mechanics
 0013-7944, Vol
18
, No.
3
,
1983
, pp. 667–677.
46.
Nemat-Nasser
,
S.
, “
Overview of the Basic Progress in Ductile Fracture
,”
Transactions
, Fourth International Conference on Structural Mechanics in Reactor Technology (SMIRT-4),
San Francisco
,
08
1977
, pp. L2/1–11.
47.
Sih
,
G. C.
 and
Madenci
,
E.
, “
Crack Growth Resistance Characterized by the Strain Energy Density Function
,”
Engineering Fracture Mechanics
 0013-7944, Vol.
18
, No.
6
,
1983
, pp. 1159–1171.
48.
Matic
,
P.
, “
Numerically Predicting Ductile Material Behavior from Tensile Specimen Response
,”
Theoretical and Applied Fracture Mechanics
, Vol.
4
,
1985
, pp. 13–28.
49.
Matic
,
P.
 and
Jolles
,
M. I.
, “
The influence of Weld Metal Properties, Weld Geometry and Applied Load on Weld System Performance
,”
Naval Engineers Journal
,
03
1988
.
50.
Matic
,
P.
 and
Jolles
,
M. I.
, “
Defects, Constitutive Behavior and Continuum Toughness Consideration for Weld Integrity Analysis
,” NRL Memo No. 5935,
Naval Research Laboratory
,
Washington, DC
,
1987
.
Google Scholar
Crossref
Search ADS
 
51.
Matic
,
P.
,
Kirby
,
G. C.
, III, and
Jolles
,
M. I.
, “
The Relation of Tensile Specimen Size and Geometry Effects to Unique Constitutive Parameters for Ductile Materials
,”
Proceedings
,
Royal Society London
, Vol.
A 417
,
1988
, pp. 309–333.
52.
Gillemot
,
F.
, “
Criterion of Crack Initiation and Spreading
,”
Engineering Fracture Mechanics
 0013-7944, Vol.
8
,
1976
, pp. 239–253.
53.
Wilkins
,
M. L.
,
Streit
,
R. D.
, and
Reaugh
,
J. E.
, “
Cumulative-Strain-Damage Model of Ductile Fracture: Simulation and Prediction of Engineering Fracture Tests
,” Report UCRL-53058,
Lawrence Livermore National Laboratory
,
10
1980
.
54.
Hancock
,
J. W.
 and
Mackenzie
,
A. C.
, “
On the Mechanisms of Ductile Failure in High-Strength Steels Subjected to Multi-Axial Stress-States
,”
Journal of the Mechanics and Physics of Solids
 0022-5096, Vol.
24
,
06
1976
, pp. 147–269.
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