Part II presents two modeling schemes for simulating the reeling/unreeling of a pipeline, with the aim of establishing the degrading effect of the process on the structural performance of the pipeline. A three-dimensional (3D) finite element model of the winding/unwinding of a long section of pipeline onto a rigid reel is presented first. The second model applies the curvature/tension loading history experienced at a point to a section of pipe in contact with a rigid surface of variable curvature. Both models use nonlinear kinematic hardening plasticity to model the loading/reverse loading of the material. The 3D model first demonstrates how the interaction of the problem nonlinearities influences the evolution of deformation and load parameters during reeling/unreeling. The two models are subsequently used to simulate the three-reeling/unreeling cycle experiments under different levels of back tension in Part I. The ovality-tension and axial elongation-tension results are reproduced by both models with accuracy for the first cycle, adequately for the second cycle, and are overpredicted for the third cycle. The two models are also used to simulate the reeling/unreeling followed by collapse of the tubes under external pressure experiments. Both models reproduce the measured ovality-tension results and the corresponding collapse pressures accurately. Since the two-dimensional (2D) model is computationally much more efficient, it is an attractive tool for estimating the effect of reeling on collapse pressure. Questions that require exact tracking of the winding/unwinding history and the interaction of the pipe with the reel are best answered using the 3D model.

References

1.
Kyriakides
,
S.
, and
Mok
,
S. W.
,
1992
, “
On the Effect of Reeling on Pipe Collapse
,” University of Texas at Austin, Engineering Mechanics Research Laboratory, Austin, TX, Report No. 92/6.
2.
Kyriakides
,
S.
,
Dyau
,
J.-Y.
, and
Corona
,
E.
,
1994
, “
I. Pipe Collapse Under Bending, Tension and External Pressure (BEPTICO) and II. Simulation of Pipeline Reeling/Unreeling (REELING)
,” Computer Program Manual, University of Texas at Austin, Engineering Mechanics Research Laboratory, Austin, TX, Report No. 94/4.
3.
Dyau
,
J. Y.
, and
Kyriakides
,
S.
,
1992
, “
On the Response of Elastic-Plastic Tubes Under Combined Bending and Tension
,”
ASME J. Offshore Mech. Arct. Eng.
,
114
(
1
), pp.
50
62
.
4.
Kyriakides
,
S.
, and
Corona
,
E.
,
2007
,
Mechanics of Offshore Pipelines: Volume 1 Buckling and Collapse
,
Elsevier
,
Oxford, UK
.
5.
Liu
,
Y.
, and
Kyriakides
,
S.
,
2014
, “
Effect of Geometric and Material Discontinuities on the Reeling of Pipelines
,”
ASME
Paper No. OMAE2014-24474.
6.
Chaboche
,
J.-L.
,
1986
, “
Time-Independent Constitutive Theories for Cyclic Plasticity
,”
Int. J. Plast.
,
2
(
2
), pp.
149
188
.
7.
Lemaitre
,
J.
, and
Chaboche
,
J.-L.
,
1990
,
Mechanics of Solid Materials
,
Cambridge University Press
,
Cambridge, UK
, Chap. 6.
8.
Armstrong
,
P. J.
, and
Frederick
,
C. O.
,
1966
, “
A Mathematical Representation of the Multiaxial Bauschinger Effect
,” Berkeley Nuclear Laboratories, R&D Department, UK, Report No. RD/B/N/731.
9.
Chatzopoulou
,
G.
,
Karamanos
,
S. A.
, and
Varelis
,
G. E.
,
2016
, “
Finite Element Analysis of Cyclically-Loaded Steel Pipes During Deep Water Reeling Installation
,”
Ocean Eng.
,
124
, pp.
113
124
.
10.
Tseng
,
N. T.
, and
Lee
,
G. C.
,
1983
, “
Simple Plasticity Model of Two-Surface Type
,”
ASCE J. Eng. Mech.
,
109
(
3
), pp.
795
810
.
11.
Kyriakides
,
S.
, and
Shaw
,
P. K.
,
1987
, “
Inelastic Buckling of Tubes Under Cyclic Bending
,”
ASME J. Pressure Vessel Technol.
,
109
(
2
), pp.
169
178
.
12.
Corona
,
E.
, and
Kyriakides
,
S.
,
1991
, “
An Experimental Investigation of the Degradation and Buckling of Circular Tubes Under Cyclic Bending and External Pressure
,”
Thin-Walled Struct.
,
12
(
3
), pp.
229
263
.
13.
Corona
,
E.
, and
Kyriakides
,
S.
,
1988
, “
On the Collapse of Inelastic Tubes Under Combined Bending and Pressure
,”
Int. J. Solids Struct.
,
24
(
5
), pp.
505
535
.
14.
Kyriakides
,
S.
,
Corona
,
E.
, and
Miller
,
J. E.
,
2004
, “
Effect of Yield Surface Evolution on Bending Induced Cross Sectional Deformation of Thin-Walled Sections
,”
Int. J. Plast.
,
20
(
4
), pp.
607
618
.
15.
Hassan
,
T.
, and
Kyriakides
,
S.
,
1992
, “
Ratcheting in Cyclic Plasticity—Part I: Uniaxial Behavior
,”
Int. J. Plast.
,
8
(
1
), pp.
91
116
.
16.
Hassan
,
T.
,
Corona
,
E.
, and
Kyriakides
,
S.
,
1992
, “
Ratcheting in Cyclic Plasticity—Part II: Multiaxial Behavior
,”
Int. J. Plast.
,
8
(
1
), pp.
117
146
.
17.
Jiao
,
R.
, and
Kyriakides
,
S.
,
2009
, “
Ratcheting, Wrinkling and Collapse of Tubes Under Axial Cycling
,”
Int. J. Solids Struct.
,
46
(
14
), pp.
2856
2870
.
18.
Liu
,
Y.
,
Kyriakides
,
S.
, and
Hallai
,
J. F.
,
2015
, “
Reeling of Pipe With Lüders Bands
,”
Int. J. Solids Struct.
,
72
, pp.
11
25
.
19.
Hassan
,
T.
, and
Kyriakides
,
S.
,
1994
, “
Ratcheting of Cyclically Hardening and Softening Materials: I. Uniaxial Behavior
,”
Int. J. Plast.
,
10
(
2
), pp.
149
184
.
20.
Hassan
,
T.
, and
Kyriakides
,
S.
,
1994
, “
Ratcheting of Cyclically Hardening and Softening Materials: II Multiaxial Behavior
,”
Int. J. Plast.
,
10
(
2
), pp.
185
212
.
21.
Liu
,
Y.
, and
Kyriakides
,
S.
,
2016
, “
Effect of Reeling on Pipeline Structural Performance
,”
ASME
Paper No. OMAE2016-54866.
22.
Mroz
,
Z.
,
1967
, “
On the Description of Anisotropic Work Hardening
,”
J. Mech. Phys. Solids
,
15
(
3
), pp.
163
175
.
23.
Dafalias
,
Y. F.
, and
Popov
,
E. P.
,
1975
, “
A Model of Nonlinearly Hardening Materials for Complex Loading
,”
Acta Mech.
,
21
(
3
), pp.
173
192
.
24.
Dafalias
,
Y. F.
, and
Popov
,
E. P.
,
1976
, “
Plastic Internal Variables Formalism of Cyclic Plasticity
,”
ASME J. Appl. Mech.
,
43
(
4
), pp.
645
651
.
You do not currently have access to this content.