Research Papers: Materials and Fabrication

Effects of Crosshead Speed on the Quasi-Static Stress–Strain Relationship of Polyethylene Pipes

[+] Author and Article Information
Yi Zhang

Department of Mechanical Engineering,
University of Alberta,
10-203 Donadeo Innovation Centre
for Engineering,
9211-116 Street NW,
Edmonton, AB T6G 1H9, Canada
e-mail: yz4@ualberta.ca

P.-Y. Ben Jar

Department of Mechanical Engineering,
University of Alberta,
10-203 Donadeo Innovation Centre
for Engineering,
9211-116 Street NW,
Edmonton, AB T6G 1H9, Canada
e-mail: ben.jar@ualberta.ca

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received March 9, 2016; final manuscript received May 29, 2016; published online September 27, 2016. Assoc. Editor: Kunio Hasegawa.

J. Pressure Vessel Technol 139(2), 021402 (Sep 27, 2016) (6 pages) Paper No: PVT-16-1040; doi: 10.1115/1.4033777 History: Received March 09, 2016; Revised May 29, 2016

Quasi-static stress–strain relationship of polyethylene (PE) pressure pipe that plays an important role on its long-term performance has been established by removing the viscous stress component from the experimentally measured total stress. Work reported here is focused on the influence of crosshead speed on the notched pipe ring (NPR) specimens that are prepared from PE pressure pipe of 2 in. in diameter. Viscous component of the stress–strain relationship was determined using a spring–damper–plastic element model, calibrated using results from stress relaxation tests. Crosshead speeds considered for the initial stretch of the stress relaxation tests are 0.01, 1, and 10 mm/min which due to the relatively uniform deformation in the gauge section generate the same order of difference in the strain rates. Results from the study suggest that the quasi-static stress–strain relationship is affected by the crosshead speed used to generate the deformation, and the trend of change is opposite to the total stress counterpart that includes the viscous component.

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Kiass, N. , Khelif, R. , Boulanouar, L. , and Chaoui, K. , 2005, “ Experimental Approach to Mechanical Property Variability Through a High-Density Polyethylene Gas Pipe Wall,” J. Appl. Polym. Sci., 97(1), pp. 272–281. [CrossRef]
Azevedo, C. R. , 2007, “ Failure Analysis of a Crude Oil Pipeline,” Eng. Failure Anal., 14(6), pp. 978–994. [CrossRef]
Shalaby, H. M. , Riad, W. T. , Alhazza, A. A. , and Behbehani, M. H. , 2006, “ Failure Analysis of Fuel Supply Pipeline,” Eng. Failure Anal., 13(5), pp. 789–796. [CrossRef]
Majid, Z. A. , Mohsin, R. , Yaacob, Z. , and Hassan, Z. , 2010, “ Failure Analysis of Natural Gas Pipes,” Eng. Failure Anal., 17(4), pp. 818–837. [CrossRef]
Peacock, A. , 2000, Handbook of Polyethylene: Structures: Properties, and Applications, CRC Press, Boca Raton, FL.
Hillmansen, S. , Hobeika, S. , Haward, R. , and Leevers, P. , 2000, “ The Effect of Strain Rate, Temperature, and Molecular Mass on the Tensile Deformation of Polyethylene,” Polym. Eng. Sci., 40(2), pp. 481–489. [CrossRef]
Dusunceli, N. , and Colak, O. U. , 2006, “ High Density Polyethylene (HDPE): Experiments and Modeling,” Mech. Time-Depend. Mater., 10(4), pp. 331–345. [CrossRef]
Colak, O. U. , and Dusunceli, N. , 2006, “ Modeling Viscoelastic and Viscoplastic Behavior of High Density Polyethylene (HDPE),” ASME J. Eng. Mater. Technol., 128(4), pp. 572–578. [CrossRef]
Ayoub, G. , Zaïri, F. , Naït-Abdelaziz, M. , and Gloaguen, J. M. , 2010, “ Modelling Large Deformation Behaviour Under Loading–Unloading of Semicrystalline Polymers: Application to a High Density Polyethylene,” Int. J. Plast., 26(3), pp. 329–347. [CrossRef]
Hiss, R. , Hobeika, S. , Lynn, C. , and Strobl, G. , 1999, “ Network Stretching, Slip Processes, and Fragmentation of Crystallites During Uniaxial Drawing of Polyethylene and Related Copolymers. A Comparative Study,” Macromolecules, 32(13), pp. 4390–4403. [CrossRef]
Zhang, C. , and Moore, I . D. , 1997, “ Nonlinear Mechanical Response of High Density Polyethylene—Part I: Experimental Investigation and Model Evaluation,” Polym. Eng. Sci., 37(2), pp. 404–413. [CrossRef]
Zhong, S. , Shi, J. , and Zheng, J. , 2013, “ Study on Constitutive Modeling for Large Deformation Behavior of Polyethylene Considering Strain Rate Effect,” ASME Paper No. PVP2013-97778.
Drozdov, A. D. , and Christiansen, J. d. , 2008, “ Thermo-Viscoelastic and Viscoplastic Behavior of High-Density Polyethylene,” Int. J. Solids Struct., 45(14–15), pp. 4274–4288. [CrossRef]
G'Sell, C. , Hiver, J. M. , Dahoun, A. , and Souahi, A. , 1992, “ Video-Controlled Tensile Testing of Polymers and Metals Beyond the Necking Point,” J. Mater. Sci., 27(18), pp. 5031–5039. [CrossRef]
Drozdov, A. D. , and Yuan, Q. , 2003, “ The Viscoelastic and Viscoplastic Behavior of Low-Density Polyethylene,” Int. J. Solids Struct., 40(10), pp. 2321–2342. [CrossRef]
Ritchie, S. , 2000, “ A Model for the Large-Strain Deformation of Polyethylene,” J. Mater. Sci., 35(23), pp. 5829–5837. [CrossRef]
Dasari, A. , and Misra, R. D. K. , 2003, “ On the Strain Rate Sensitivity of High Density Polyethylene and Polypropylenes,” Mater. Sci. Eng.: A, 358(1–2), pp. 356–371. [CrossRef]
Jar, P. Y. B. , 2014, “ Transition of Neck Appearance in Polyethylene and Effect of the Associated Strain Rate on the Damage Generation,” Polym. Eng. Sci., 54(8), pp. 1871–1878. [CrossRef]
Zhang, Y. , and Jar, P. Y. B. , 2015, “ Phenomenological Modelling of Tensile Fracture in PE Pipe by Considering Damage Evolution,” Mater. Des., 77, pp. 72–82. [CrossRef]
Muhammad, S. , and Jar, P. Y. B. , 2011, “ Effect of Aspect Ratio on Large Deformation and Necking of Polyethylene,” J. Mater. Sci., 46(4), pp. 1110–1123. [CrossRef]
Rafiee, R. , 2013, “ Apparent Hoop Tensile Strength Prediction of Glass Fiber-Reinforced Polyester Pipes,” J. Compos. Mater., 47, pp. 1377–1386. [CrossRef]
Shlitsa, R. P. , and Novikova, E. A. , 1983, “ Characteristics of the Use of the Split-Disk Method for Investigating Modern Winding Composites,” Mech. Compos. Mater., 18(4), pp. 502–508. [CrossRef]
Chen, J. F. , Li, S. Q. , Bisby, L. A. , and Ai, J. , 2011, “ FRP Rupture Strains in the Split-Disk Test,” Composites, Part B, 42(4), pp. 962–972. [CrossRef]
Hong, K. , and Strobl, G. , 2008, “ Characterizing and Modeling the Tensile Deformation of Polyethylene: The Temperature and Crystallinity Dependences,” Polym. Sci. Ser. A, 50(5), pp. 483–493. [CrossRef]
Hong, K. , Rastogi, A. , and Strobl, G. , 2004, “ A Model Treating Tensile Deformation of Semicrystalline Polymers: Quasi-Static Stress–Strain Relationship and Viscous Stress Determined for a Sample of Polyethylene,” Macromolecules, 37(26), pp. 10165–10173. [CrossRef]
Na, B. , Zhang, Q. , Fu, Q. , Men, Y. , Hong, K. , and Strobl, G. , 2006, “ Viscous-Force-Dominated Tensile Deformation Behavior of Oriented Polyethylene,” Macromolecules, 39(7), pp. 2584–2591. [CrossRef]
Zhang, Y. , and Jar, P. Y. B. , 2015, “ Quantitative Assessment of Deformation-Induced Damage in Polyethylene Pressure Pipe,” Polym. Test., 47, pp. 42–50. [CrossRef]
Yeh, I.-C. , Andzelm, J. W. , and Rutledge, G. C. , 2015, “ Mechanical and Structural Characterization of Semicrystalline Polyethylene Under Tensile Deformation by Molecular Dynamics Simulations,” Macromolecules, 48(12), pp. 4228–4239. [CrossRef]
Lee, S. , and Rutledge, G. C. , 2011, “ Plastic Deformation of Semicrystalline Polyethylene by Molecular Simulation,” Macromolecules, 44(8), pp. 3096–3108. [CrossRef]
Addiego, F. , Dahoun, A. , G'Sell, C. , and Hiver, J.-M. , 2006, “ Characterization of Volume Strain at Large Deformation Under Uniaxial Tension in High-Density Polyethylene,” Polymer, 47(12), pp. 4387–4399. [CrossRef]
Blaise, A. , Baravian, C. , André, S. p. , Dillet, J. r. m. , Michot, L. J. , and Mokso, R. , 2010, “ Investigation of the Mesostructure of a Mechanically Deformed HDPE by Synchrotron Microtomography,” Macromolecules, 43(19), pp. 8143–8152. [CrossRef]
Xiao, X. , 2008, “ On the Measurement of True Fracture Strain of Thermoplastics Materials,” Polym. Test., 27(3), pp. 284–295. [CrossRef]
El-Bagory, T. M. A. A. , Sallam, H. E. M. , and Younan, M. Y. A. , 2014, “ Effect of Strain Rate, Thickness, Welding on the J–R Curve for Polyethylene Pipe Materials,” Theor. Appl. Fract. Mech., 74, pp. 164–180. [CrossRef]
El-Bagory, T. M. A. A. , Alkanhal, T. A. R. , and Younan, M. Y. A. , 2015, “ Effect of Specimen Geometry on the Predicted Mechanical Behavior of Polyethylene Pipe Material,” ASME J. Pressure Vessel Technol., 137(6), p. 061202. [CrossRef]
Dasari, A. , and Misra, R. D. K. , 2004, “ Microscopic Aspects of Surface Deformation and Fracture of High Density Polyethylene,” Mater. Sci. Eng.: A, 367(1–2), pp. 248–260. [CrossRef]
Pawlak, A. , 2007, “ Cavitation During Tensile Deformation of High-Density Polyethylene,” Polymer, 48(5), pp. 1397–1409. [CrossRef]
Hossain, D. , Tschopp, M. A. , Ward, D. K. , Bouvard, J. L. , Wang, P. , and Horstemeyer, M. F. , 2010, “ Molecular Dynamics Simulations of Deformation Mechanisms of Amorphous Polyethylene,” Polymer, 51(25), pp. 6071–6083. [CrossRef]
Castagnet, S. , Gacougnolle, J.-L. , and Dang, P. , 2000, “ Correlation Between Macroscopical Viscoelastic Behaviour and Micromechanisms in Strained α Polyvinylidene Fluoride (PVDF),” Mater. Sci. Eng.: A, 276(1), pp. 152–159. [CrossRef]
Hobeika, S. , Men, Y. , and Strobl, G. , 2000, “ Temperature and Strain Rate Independence of Critical Strains in Polyethylene and Poly(Ethylene-Co-Vinyl Acetate),” Macromolecules, 33(5), pp. 1827–1833. [CrossRef]
Patlazhan, S. , and Remond, Y. , 2012, “ Structural Mechanics of Semicrystalline Polymers Prior to the Yield Point: A Review,” J. Mater. Sci., 47(19), pp. 6749–6767. [CrossRef]
Jiang, Z. , Tang, Y. , Rieger, J. , Enderle, H.-F. , Lilge, D. , Roth, S. V. , Gehrke, R. , Heckmann, W. , and Men, Y. , 2010, “ Two Lamellar to Fibrillar Transitions in the Tensile Deformation of High-Density Polyethylene,” Macromolecules, 43(10), pp. 4727–4732. [CrossRef]
Peres, F. M. , and Schön, C. G. , 2007, “ An Alternative Approach to the Evaluation of the Slow Crack Growth Resistance of Polyethylene Resins Used for Water Pipe Extrusion,” J. Polym. Res., 14(3), pp. 181–189. [CrossRef]
Krishnaswamy, R. K. , 2005, “ Analysis of Ductile and Brittle Failures From Creep Rupture Testing of High-Density Polyethylene (HDPE) Pipes,” Polymer, 46(25), pp. 11664–11672. [CrossRef]
Hoàng, E. M. , and Lowe, D. , 2008, “ Lifetime Prediction of a Blue PE100 Water Pipe,” Polym. Degrad. Stab., 93(8), pp. 1496–1503. [CrossRef]
Frank, A. , Pinter, G. , and Lang, R. W. , 2009, “ Prediction of the Remaining Lifetime of Polyethylene Pipes After up to 30 Years in Use,” Polym. Test., 28(7), pp. 737–745. [CrossRef]


Grahic Jump Location
Fig. 3

Schematic diagram of the viscous model, modified from Ref. [25]

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Fig. 2

Information for the stress relaxation tests: (a) test setup (also used for the monotonic tensile tests) and (b) schematic diagram for the stroke and area strain as functions of time

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Fig. 1

Information on specimens used in the study: (a) a pipe section (left) and a NPR specimen (right), and (b) specimen dimensions

Grahic Jump Location
Fig. 9

Variation of the quasi-static stress–strain curve by assuming σ0 being independent of crosshead speed. Curves in dashed line are generated using Eq. (6) with σ0 being equivalent to those for the crosshead speed of 0.01 mm/min in Table 1.

Grahic Jump Location
Fig. 4

Plots of experimentally determined true stress-area strain curves under monotonic tension at three crosshead speeds

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Fig. 5

Stress decay (Δσ) as a function of relaxation time at different relaxation strains which were introduced at the crosshead speeds of (a) 0.01 mm/min, (b) 1 mm/min, and (c) 10 mm/min (larger the relaxation strain, higher the stress decay)

Grahic Jump Location
Fig. 6

Comparison between curves generated from Eq. (6) (presented by markers) and curves obtained from stress relaxation tests (lines) at the relaxation strain of 20%, with the initial stretch introduced at the crosshead speeds of 0.01, 1, and 10 mm/min

Grahic Jump Location
Fig. 7

Quasi-static stress–strain curves for the three crosshead speeds used in the study

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Fig. 8

Variation of reference stresses σ0 with the applied relaxation strain



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