Coiled tubing is a long, continuous string of steel tubing that is used in the oil well drilling and servicing industry. Bending strains imposed on coiled tubing as it is deployed and retrieved from a well are considerably into the plastic regime and can be as high as 3 percent. Progressive growth of tubing diameter occurs when tubing is cyclically bent-straightened under constant internal pressure, regardless of the fact that the hoop stress imposed by typical pressure levels is well below the material’s yield strength. A new incremental plasticity model is proposed in this study that can predict multiaxial cyclic ratcheting in coiled tubing more accurately than the conventional plasticity models. A new hardening rule is presented based on published experimental observations. The model also implements a new plastic modulus function. The predictions based on the new theory correlate well with experimental results presented in Part II of this paper. Some previously unexpected trends in coiled tubing deformation behavior were observed and correctly predicted using the proposed model. [S0094-4289(00)00402-3]
Issue Section:
Technical Papers
1.
Prager
, W.
, 1955
, “The Theory of Plasticity: A Survey of Recent Achievements
,” Proc. Inst. Mech. Engr.
, 169
, pp. 41
–57
.2.
Ziegler
, H.
, 1959
, “A Modification of Prager’s Hardening Rule
,” Q. Appl. Math.
, 17
, pp. 55
–65
.3.
Armstrong
, P. J.
, and Frederic
, C. O.
, 1966
, “A Mathematical Representation of the Multiaxial Bauschinger Effect,” C.E.G.B., Report RD/B/N 731.
4.
Mroz
, Z.
, 1967
, “On the Description of Anisotropic Workhardening
,” J. Mech. Phys. Solids
, 15
, pp. 163
–175
.5.
Phillips
, A.
, and Lee
, C.
, 1979
, “Yield Surfaces and Loading Surfaces. Experiments and Recommendations
,” Int. J. Solids Struct.
, 15
, pp. 715
–729
.6.
Garud
, Y.
, 1981
, “A New Approach to the Evaluation of Fatigue Under Multiaxial Loadings
,” ASME J. Eng. Mater. Technol.
, 103
, pp. 118
–125
.7.
Tseng
, N. T.
, and Lee
, G. C.
, 1983
, “Simple Plasticity Model of Two-Surface Type
,” Journal of Engineering Mechanics
, 109
, No. 3
, pp. 795
–810
.8.
Tipton, S. M., 1995, “Multiaxial Plasticity and Fatigue Life Prediction in Coiled Tubing,” Fatigue Lifetime Predictive Techniques: 3rd Volume, ASTM STP 1292, M. R. Mitchell and R. W. Landgraf, eds., American Society for Testing and Materials, Philadelphia, pp. 283–304.
9.
Bower
, A. F.
, 1989
, “Cyclic Hardening Properties of Hard-Drawn Copper and Rail Steel
,” J. Mech. Phys. Solids
, 37
, pp. 455
–470
.10.
Chaboche
, J. L.
, 1991
, “On Some Modifications of Kinematic Hardening to Improve the Description of Ratcheting Effects
,” Int. J. Plast.
, 7
, pp, 661
–678
.11.
Hassan
, T.
, Corona
, A.
, and Kyriakides
, S.
, 1992
, “Ratcheting in Multiaxial Cyclic Plasticity, Part II: Multiaxial Behavior
,” Int. J. Plast.
, 8
, pp. 117
–146
.12.
Ohno, N., and Wang, J. D., 1991, “Nonlinear Kinematic Hardening Rule: Proposition and Application to Ratcheting Problems,” Structural Mechanics in Reactor Technology, Transaction of the 11th International Conference on Structural Mechanics in Reactor Technology, Shibata, L, Tokyo, Japan, L22/1, pp. 481–486.
13.
Ohno
, N.
, and Wang
, J. D.
, 1993
, “Kinematic Hardening Rules with Critical State of Dynamic Recovery, Part I—Formulation and Basic Features for Ratcheting Behavior
,” Int. J. Plast.
, 9
, pp. 375
–390
.14.
Ohno
, N.
, and Wang
, J. D.
, 1993
, “Kinematic Hardening Rules with Critical State of Dynamic Recovery, Part II—Application to Experiments of Ratcheting Behavior
,” Int. J. Plast.
, 9
, pp. 391
–403
.15.
Moreton
, D. N.
, 1993
, “The Ratcheting of a Cylinder Subjected to Internal Pressure and Alternating Axial Deformation
,” J. Strain Anal.
, 28
, No. 4
, pp. 277
–282
.16.
Jiang
, Y.
, and Sehitoglu
, H.
, 1994
, “Multiaxial Cyclic Ratcheting Under Multiple Step Loading
,” Int. J. Plast.
, 10
, No. 8
, pp. 849
–870
.17.
Jiang
, Y.
, and Sehitoglu
, H.
, 1996
, “Modeling of Cyclic Ratcheting Plasticity, Part I: Development of Constitutive Relations
,” ASME J. Appl. Mech.
, 63
, pp. 720
–725
.18.
Jiang
, Y.
, and Sehitoglu
, H.
, 1996
, “Modeling of Cyclic Ratcheting Plasticity, Part II: Comparisons of Model Simulations With Experiments
,” ASME J. Appl. Mech.
, 63
, pp. 726
–733
.19.
Prandtl, L., 1925, “Spannungsverteilung in Plastischen Koerpern,” Proc. 1st Int. Congr. On Appl. Mech., Delft, pp. 43–54.
20.
Reuss
, E.
, 1930
, “Beruecksichtigung der Elastischen Formaenderungen in der Plastizitaetstheorie
,” Z. Angew. Math. Mech.
, 10
, pp. 266
–274
.21.
Phillips
, A.
, and Tang
, J. L.
, 1972
, “The Effect of Loading Path on the Yield Surface at Elevated Temperature
,” Int. J. Solids Struct.
, 8
, pp. 463
–474
.22.
Phillips
, A.
, and Lu
, W.
, 1984
, “An Experimental Investigation of Yield Surfaces and Loading Surfaces of Pure Aluminum with Stress-Controlled and Strain-Controlled Paths of Loading
,” ASME J. Eng. Mater. Technol.
, 106
, pp. 349
–354
.23.
McDowell
, D. L.
, 1985
, “An Experimental Study of the Structure of Constitutive Equations for Nonproportional Cyclic Plasticity
,” ASME J. Eng. Mater. Technol.
, 107
, pp. 307
–315
.24.
McDowell
, D. L.
, 1987
, “An Evaluation of Recent Developments in Hardening and Flow Rules for Rate-Independent, Nonproportional Cyclic Plasticity
,” ASME J. Appl. Mech.
, 54
, pp. 323
–334
.25.
Eisenberg
, M. A.
, and Yen
, C.-F.
, 1984
, “The Anisotropic Deformation of Yield Surfaces
,” ASME J. Eng. Mater. Technol.
, 106
, pp. 355
–360
.26.
Newburn, D. A., 1990, “Post Yield Cyclic Strain Response of Pressurized Tubes,” Master of Science Thesis, The University of Tulsa, Tulsa, Oklahoma.
27.
Rolovic, R., 1997, Plasticity Modeling of Multiaxial Cyclic Ratcheting in Coiled Tubing, Ph.D. dissertation, The University of Tulsa, Tulsa, Oklahoma.
Copyright © 2000
by ASME
You do not currently have access to this content.
