Polyethylene (PE) pipe is widely used for oil and gas transportation. Slow crack growth (SCG) is the main failure mechanism of PE pipes. Current SCG resistance testing methods for PE pipes have significant drawbacks, including high cost, time-consuming, and uncertain reliability. Alternative method is in need to reduce the testing time and cost. In this paper, a numerical model is proposed by taking the viscoelastic and damage effect of PE material into account. The material behavior is described on the basis of linear viscoelastic integral constitutive model, along with the damage effect in effective configuration concept. A three-dimensional (3D) incremental form of a viscoelastic and damage model is derived and implemented by abaqus UMAT. It is found that the curve of tensile displacement versus time, as well as the curve of crack opening displacement (COD) versus time from numerical results fit well with those from the standard Pennsylvania Notch Test (PENT; ASTM 1473). Based on the proposed model, SCG failure process is analyzed, and the effects of damage parameters on SCG process are furtherly studied and discussed.

References

1.
Brown
,
N.
, and
Lu
,
X.
,
1995
, “
Fundamental Theory for Slow Crack Growth in Polyethylene
,”
Polymer
,
36
(
3
), pp.
543
548
.
2.
Lu
,
X.
,
Zhou
,
Z.
, and
Brown
,
N.
,
1997
, “
A Sensitive Mechanical Test for Slow Crack Growth in Polyethylene
,”
Polym. Eng. Sci.
,
37
(
11
), pp.
1896
1900
.
3.
Brown
,
N.
, and
Zhou
,
Z.
,
1995
, “
Relationship Between the Structure and Slow Crack Growth in Blends of High-Density Polyethylene and Model Copolymers
,”
Macromolecules
,
28
(
6
), pp.
1807
1807
.
4.
Lu
,
X.
,
Qian
,
R.
, and
Brown
,
N.
,
1995
, “
The Effect of Crystallinity on Fracture and Yielding of Polyethylenes
,”
Polymer
,
36
(
22
), pp.
4239
4244
.
5.
Lu
,
X.
,
Brown
,
N.
, and
Shaker
,
M.
,
1998
, “
Effect of γ-Irradiation on Slow Crack Growth in a Copolymer of Polyethylene
,”
J. Polym. Sci., Part B: Polym. Phys.
,
36
(
13
), pp.
2349
2354
.
6.
Brown
,
N.
,
2007
, “
Intrinsic Lifetime of Polyethylene Pipelines
,”
Polym. Eng. Sci.
,
47
(
4
), pp.
477
480
.
7.
Shim
,
D. J.
,
Krishnaswamy
,
P.
,
Hioe
,
Y.
, and
Kalyanam
,
S.
,
2010
, “
Viscoelastic Finite Element Modeling of Bimodal High Density Polyethylene (HDPE) Piping Materials for Nuclear Safety-Related Applications
,”
ASME
Paper No. PVP2010-25715.
8.
Rybicki
,
E.
, and
Kanninen
,
M.
,
1977
, “
A Finite Element Calculation of Stress Intensity Factors by a Modified Crack Closure Integral
,”
Eng. Fract. Mech.
, 9(
4
), pp.
931
938
.
9.
Zheng
,
J.
,
Luo
,
X.
,
Shi
,
J.
, and
Zhong
,
S.
,
2013
, “
Study on the Failure Mode of Cracking Through the Fitting of Electrofusion Joint
,”
ASME
Paper No. PVP2013-97172.
10.
Dolbow
,
J.
, and
Belytschko
,
T.
,
1999
, “
A Finite Element Method for Crack Growth Without Remeshing
,”
Int. J. Numer. Methods Eng.
,
46
(
1
), pp.
131
150
.
11.
Kachanov
,
L. M.
,
1958
, “
On the Time to Failure Under Creep Condition
,”
Lzv. Akad. Nauk. SSSR Otd. Tekhxl. Nuak.
,
8
, pp.
26
31
.
12.
Rabotnov
,
Y. N.
,
1963
, “
On the Equation of State of Creep
,”
Prog. Appl. Mech.
,
178
(1), pp. 2-117–2-122.
13.
Lemaitre
,
J.
,
1984
, “
How to Use Damage Mechanics
,”
Nucl. Eng. Des.
,
80
(
2
), pp.
233
245
.
14.
Schapery, R. A., 1997, “
Nonlinear Viscoelastic and Viscoplastic Constitutive Equations Based on Thermodynamics
,”
Mech. Time-Depend. Mater.
,
1
(2), pp. 209–240.
15.
Darabi
,
M. K.
,
Abu Al-Rub
,
R. K.
,
Masad
,
E. A.
, Huang, C.-W., and Little, D. N.,
2011
, “
A Thermo-Viscoelastic-Viscoplastic-Viscodamage Constitutive Model for Asphaltic Materials
,”
Int. J. Solids Struct.
,
48
(
1
), pp.
191
207
.
16.
Darabi
,
M. K.
,
Abu Al-Rub
,
R. K.
, and
Masad
,
E. A.
,
2012
, “
Thermodynamic-Based Model for Coupling Temperature-Dependent Viscoelastic, Viscoplastic, and Viscodamage Constitutive Behavior of Asphalt Mixtures
,”
Int. J. Numer. Anal. Methods Geomech.
,
36
(
7
), pp.
817
854
.
17.
Lai
,
J.
,
1995
, “
Non-Linear Time Dependent Deformation Behavior of High Density Polyethylene
,”
Ph.D. thesis
, Delft University, Delft, The Netherlands.
18.
Williams
,
M. L.
,
Landel
,
R. F.
, and
Ferry
,
J. D.
,
1955
, “
The Temperature Dependence of Relaxation Mechanisms in Amorphous Polymers and Other Glass-Forming Liquids
,”
J. Am. Chem. Soc.
,
77
(
14
), pp.
3701
3707
.
19.
Lu
,
X.
,
Wang
,
X.
, and
Brown
,
N.
,
1988
, “
Slow Fracture in a Homopolymer and Copolymer of Polyethylene
,”
J. Mater. Sci.
,
23
(
2
), pp.
643
648
.
You do not currently have access to this content.