In the present paper, ductile crack growth in an aluminium alloy is numerically simulated using a cohesive zone model under both plane stress and plane strain conditions for two different fracture types, shear and normal modes. The cohesive law for ductile fracture consists of two parts—a specific material’s separation traction and energy. Both are assumed to be constant during ductile fracture (stable crack growth). In order to verify the assumed cohesive law to be suitable for ductile fracture processes, experimental records are used as control curves for the numerical simulations. For a constant separation traction, determined experimentally from tension test data, the corresponding cohesive energy was determined by finite element calculations. It is confirmed that the cohesive zone model can be used to characterize a single ductile fracture mode and is roughly independent of stable crack extention. Both the cohesive traction and the cohesive fracture energy should be material specific parameters. The extension of the cohesive zone is restricted to a very small region near the crack tip and is in the order of the physical fracture process. Based on the present observations, the cohesive zone model is a promising criterion to characterize ductile fracture.

1.
Hutchinson
J. W.
,
1983
, “
Fundamentals of the Phenomenological Theory of Nonlinear Fracture Mechanics
,”
ASME Journal of Applied Mechanics
, Vol.
50
, pp.
1042
1051
.
2.
Nilsson
F.
, and
Sta¨hle
P.
,
1988
, “
Crack Growth Criteria
,”
Solid Mechanics Archives
, Vol.
13
, pp.
193
238
.
3.
Brocks
W.
, and
Yuan
H.
,
1989
, “
Numerical Investigation on the Significance of J for large Stable Crack Growth
,”
Engineering Fracture Mechanics
, Vol.
32
, pp.
459
468
.
4.
Rice, J. R., 1979, “The Mechanics of Quasi-Static Crack Growth,” Proc. of 8th US National Congress of Applied Mechanics, ed. by R. E. Kelly, pp. 191–216.
5.
Yuan
H.
, and
Brocks
W.
,
1991
, “
On the J-Integral Concept for Elastic-Plastic Crack Extension
,”
Nuclear Engineering and Design
, Vol.
131
, pp.
157
173
.
6.
Nguyen, Q. S., 1981, “A Thermodynamic Description of the Running Crack Problem,” Three-Dimensional Constitutive Relationship and Ductile Fracture, ed. by S. Nemat-Nasser, pp. 315–330.
7.
Gurson
A. L.
,
1977
, “
Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Ductile Media
,”
ASME- JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol.
99
, pp.
2
15
.
8.
Hutchinson, J. W., and Tvergaard, V., 1989, “Softening Due to Void Nucleation in Metals,” Fracture ASTM STP 1020, ed. by R. P. Wei and R. P. Gangloff, pp. 61–83.
9.
Krajcinovic, D., and Lemaitre, J., 1987, Continuum Damage Mechanics—Theory and Applications, Springer-Verlag.
10.
Barenblatt
G. I.
,
1962
, “
The Mathematical Theory of Equilibrium Cracks in Brittle Fracture
,”
Advances of Applied Mechanics
, Vol.
7
, pp.
55
129
.
11.
Rice, J. R., 1968, “Mathematical Analysis in the Mechanics of Fracture,” Fracture an Advances Treatise, Vol II, Mathematical Fundamentals, ed. by H. Liebowitz, pp. 192–314.
12.
Wnuk
M. P.
,
1974
, “
Quasi-Static Extension of a Tensile Crack Contained in a Viscoelastic-Plastic Solid
,”
ASME Journal of Applied Mechanics
, Vol.
41
, pp.
234
242
.
13.
Wnuk, M. P., 1983, “Discontinuous Extension of Fracture in Elastic-Plastic Deformation Fields,” Elastic-Plastic Fracture Mechanics, ASTM STP 803., ed. by C. P. Shih and J. P. Gudas, pp. 1.159–1.175.
14.
Carpinteri, A., Valente, S., and Bocca, P., 1989, “Mixed Mode Cohesive Crack Propagation,” Advances in Fracture Research (Proceedings of 1CF7), ed. Salama, K., et al., Vol. 111, pp. 2243–2257.
15.
Hillerborg
A.
,
Modeer
M.
, and
Petersson
P. E.
,
1976
, “
Analysis of Crack Formation and Crack Growth in Concrete by Means of Fracture Mechanics and Finite Elements
,”
Cement and Concrete Research
, Vol.
6
, pp.
773
782
.
16.
Aronsson
C.-G.
, and
Ba¨cklund
J.
,
1986
, “
Tensile Fracture of Laminites with Cracks
,”
Journal of Composite Materials
, Vol.
20
, pp.
287
307
.
17.
Ba¨cklund
J.
, and
Aronsson
C.-G.
,
1986
, “
Tensile Fracture of Laminites with Holes
,”
Journal of Composite Materials
, Vol.
20
, pp.
259
286
.
18.
Needleman
A.
,
1990
, “
An Analysis of tensile Decohesion Along an Interface
,”
J. Mech. Phys. Solids
, Vol.
38
, pp.
289
324
.
19.
Varias
A. G.
,
O’Dowd
N. P.
,
Asaro
R. J.
, and
Shih
C. F.
,
1990
, “
Failure of Bimaterial Interfaces
,”
Materials Science and Engineering—A
, Vol.
126
, pp.
65
93
.
20.
Tvergaard
V.
, and
Hutchinson
J. W.
,
1992
, “
The Relation Between Crack Growth Resistance and Fracture Process Parameters in Elastic-Plastic Solids
,”
J. Mech. Phya. Solids
, Vol.
40
, pp.
1377
1397
.
21.
Planas
J.
, and
Elices
M.
,
1991
, “
Nonlinear Fracture of Cohesive Materials
,”
International Journal of Fracture
, Vol.
51
, pp.
139
157
.
22.
Yuan, H., 1990, “Investigation of Fracture Parameter for Elastic-Plastic Crack Growth” (in German), VDl-Fortschritt-Berichte, Series 18, No. 82, VDI-Verlag.
23.
Yuan, H., Cornec, A., and Schwalbe, K.-H., 1991, “Numerical Simulation of Ductile Crack Growth on Thin Aluminium CT Specimens Using the Cohesive Zone Model” (in German), Proceedings of 23. Vortragsveranstaltung des DVM-Arbeitskreises Bruchvorga¨nge, 26-27 Feb. 1991, Berlin, pp. 221–237.
24.
Bakker, A., 1990, “Influence of Material Flow Curve Modelling on Fracture Mechanics Evaluations,” Numerical Methods in Fracture Mechanics, ed. by A. R. Luxmoore and D. R. J. Owen, pp. 433–449.
25.
Yuan, H., and Cornec, A., 1993, “Asymptotic Analysis of Steady State Crack Extension of Combined Mode I and II in Elastic-Plastic Materials with Linear Hardening,” Fracture Mechanics: Twenty-Third Symposium, ASTM STP 1189, pp. 185–207, ASTM Philadelphia.
26.
Schwalbe, K.-H. and Hellmann, D. 1984, “Correlation of Stable Crack Growth with the J-integral and the Crack Tip Opening Displacement, Effects of Geometry, Size, and Material,” GKSS-Report 84/E/37.
This content is only available via PDF.
You do not currently have access to this content.