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Research Papers

Contribution of Primary Creep in Modeling the Mechanical Behavior of Polycrystalline Ice

[+] Author and Article Information
G. Aryanpour

Industrial Chair on Atmospheric Icing
of Power Network Equipment (CIGELE)
e-mail: Gholamreza_Aryanpour@uqac.ca

M. Farzaneh

Industrial Chair on Atmospheric Icing
of Power Network Equipment (CIGELE)
e-mail: Masoud_Farzaneh@uqac.ca
University of Quebec at Chicoutimi,
555 Boulevard de l'Université,
Chicoutimi, Québec, G7H 2B1, Canada

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received May 20, 2011; final manuscript received March 28, 2013; published online June 6, 2013. Assoc. Editor: Walter L. Kuehnlein.

J. Offshore Mech. Arct. Eng 135(3), 031502 (Jun 06, 2013) (6 pages) Paper No: OMAE-11-1045; doi: 10.1115/1.4024149 History: Received May 20, 2011; Revised March 28, 2013

In most of the models proposed for deformation of ice, in addition to instantaneous elastic and viscoelastic parts, a viscoplastic part is also considered. An expression used for material secondary creep is usually employed to describe the viscoplastic component. In this study, however, another viscoplastic deformation of primary creep type is also considered in addition to the secondary creep. Therefore the permanent contribution of deformation is suggested to consist of primary and secondary creep parts. The existence of the primary creep contribution is investigated and characterized by using experimental results reported in the literature. The identified primary creep contribution is then validated by other available experimental results. Finally, the significance of primary creep in the inelastic behavior will be discussed.

FIGURES IN THIS ARTICLE
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Copyright © 2013 by ASME
Topics: Creep , Stress , Ice , Deformation , Modeling
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References

Farzaneh, M., 2008, Atmospheric Icing of Power Networks, Springer, Berlin.
Kermani, M., Farzaneh, M., and Gagnon, R., 2007, “Compressive Strength of Atmospheric Ice,” Cold Regions Sci. Technol., 49, pp. 195–205. [CrossRef]
Choi, D. H., and Connor, J. J., 1997, “A Constitutive Creep Model for Single Crystal Ice,” Mech. Mater., 25, pp. 97–112. [CrossRef]
Abdel-Tawab, K., and Rodin, G. J., 1997, “Analysis of Primary Creep of S2 Fresh-Water and Saline Ice,” Cold Regions Sci. Technol., 26, pp. 83–96. [CrossRef]
Sinha, N. K., and Cai, B., 1996, “Elasto-Delayed-Elastic Simulation of Short-Term Deflection of Fresh-Water Ice Covers,” Cold Regions Sci. Technol., 24, pp. 221–235. [CrossRef]
Sinha, N. K., 1983, “Creep Model of Ice for Monotonically Increasing Stress,” Cold Regions Sci. Technol., 8, pp. 25–33. [CrossRef]
Zhan, C., Sinha, N. K., and Evgin, E., 1996, “A Three Dimensional Anisotropic Constitutive Model for Ductile Behaviour of Columnar Grained Sea Ice,” Acta Mater., 44(5), pp. 1839–1847. [CrossRef]
Derradji-Aout, A., Sinha, N. K., and Evgin, E., 2000, “Mathematical Modelling of Monotonic and Cyclic Behaviour of Fresh Water Columnar Grained S-2 Ice,” Cold Regions Sci. Technol., 31, pp. 59–81. [CrossRef]
Shyam Sunder, S., and Wu, M. S., 1989, “A Differential Flow Model for Polycrystalline Ice,” Cold Regions Sci. Technol., 16, pp. 45–62. [CrossRef]
Shyam Sunder, S., and Wu, M. S., 1989, “A Multiaxial Differential Model of Flow in Orthotropic Polycrystalline Ice,” Cold Regions Sci. Technol., 16, pp. 223–235. [CrossRef]
Aubertin, M., 1992, “Discussion: On the Constitutive Modeling of Transient Creep in Polycrystalline Ice by S. Shyam Sunder and M. S. Wu,” Cold Regions Sci. Technol., 20, pp. 225–227. [CrossRef]
Shyam Sunder, S., and Wu, M. S., 1990, “On the Constitutive Modeling of Transient Creep in Polycrystalline Ice,” Cold Regions Sci. Technol., 18, pp. 267–294. [CrossRef]
Wu, M. S., and Shyam Sunder, S., 1992, “Discussion: On the Constitutive Modeling of Transient Creep in Polycrystalline Ice: Reply to the Comments of M. Aubertin,” Cold Regions Sci. Technol., 20, pp. 315–319. [CrossRef]
Sinha, N. K., 1978, “Observation of Basal Dislocations in Ice by Etching and Replicating,” J. Glaciol., 21(85), pp. 385–395.
Stoufer, D. C., and Dame, L. T., 1996, Inelastic Deformation of Metals, Models, Mechanical Properties, and Metallurgy, John Wiley & Sons, New York.
Aryanpour, G., and Farzaneh, M., 2010, “Analysis of Axial Strain in One-Dimensional Loading by Different Models,” Acta Mech. Sinica, 26, pp. 745–753. [CrossRef]
Glen, J. W., 1955, “The Creep of Polycrystalline Ice,” Proc. R. Soc. London, Ser. A, 228, pp. 519–538. [CrossRef]
Lemaitre, J., and Chaboche, J. L., 1996, Mécanique des Matériaux Solides, 2nd ed., Dunod, Paris.
Mellor, M., and Cole, D. M., 1982, “Deformation and Failure of Ice Under Constant Stress or Constant Strain-Rate,” Cold Regions Sci. Technol., 5, pp. 201–219. [CrossRef]
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Figures

Grahic Jump Location
Fig. 1

Linear fitting on the results of Tables 1 and 2

Grahic Jump Location
Fig. 2

Calculation of 3 components of axial strain for simple compression of ice at 263 K and loading rate of 0.0075 MPa/s. Points are experimental results [6].

Grahic Jump Location
Fig. 3

Calculation of three components of axial strain for simple compression of ice at 263 K and loading rate of 0.078 MPa/s. Points are experimental results [6].

Grahic Jump Location
Fig. 4

Calculation of three components of axial strain for simple compression of ice at 263 K and loading rate of 0.24 MPa/s. Points are experimental results [6].

Grahic Jump Location
Fig. 5

Calculation of four components of axial strain for simple compression of ice at 263 K and loading rate of 0.0075 MPa/s. Points are experimental results [6].

Grahic Jump Location
Fig. 6

Calculation of four components of axial strain for simple compression of ice at 263 K and loading rate of 0.078 MPa/s. Points are experimental results [6].

Grahic Jump Location
Fig. 7

Calculation of four components of axial strain for simple compression of ice at 263 K and loading rate of 0.24 MPa/s. Points are experimental results [6].

Grahic Jump Location
Fig. 8

Ice creep at 263 K with an axial stress of 0.49 MPa. Points are experimental results [20].

Grahic Jump Location
Fig. 9

Percentage of primary creep in axial inelastic strain of ice for the tests cited in Table 3

Grahic Jump Location
Fig. 12

Creep test at axial stress equal to 1.5 MPa. The solid curve shows the contribution of primary creep in axial inelastic strain.

Grahic Jump Location
Fig. 11

Creep test at axial stress equal to 1.0 MPa. The solid curve shows the contribution of primary creep in axial inelastic strain.

Grahic Jump Location
Fig. 10

Creep test at axial stress equal to 0.5 MPa. The solid curve shows the contribution of primary creep in axial inelastic strain.

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