Abstract
A model for the large strain deformation of polyethylene under uni-axial tension is described. Based on observations made by other researchers, the model describes hardening at large strains by considering dislocation nucleation and reorientation of slip planes within the crystalline phase. The temperature and strain-rate sensitivity of this behaviour are predicted with reasonable accuracy in a pipe-grade high-density polyethylene. The model has only three adjustable parameters which are the crystal shear modulus, the Young's modulus and a critical dislocation length.
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References
S. J. K. Ritchie, P. Davies and P. S. Leevers, Polymer 39 (1998) 6657.
R. Hiss and G. Strobl, in Proc. 10th International Conference on Deformation Yield and Fracture of Polymers (Institute of Materials, London, 1997) p. 439.
C. G'sell and J. J. Jonas, J. Mater. Sci. 14 (1979) 583.
S. Hillmansen, S. Hobeika, R. N. Haward and P. S. Leevers, Polymer Engineering and Science 40 (2000) 481.
R. N. Haward and G. Thackray, Proc. Roy. Soc. London A302 (1968) 453.
M. C. Boyce, D. M. Parks and A. S. Argon, Int. J. Plasticity 5 (1989) 593.
L. R. G. Treloar, “The Physics of Rubber Elasticity” (Oxford University Press, London, 1949).
C. G'sell and J. J. Jonas, J. Mater. Sci 16 (1981) 1956.
R. N. Haward, Macromolecules 26 (1993) 5860.
S. M. Crawford and H. Kolsky, Proc. Phys. Soc. B 64 (1951) 119.
S. Ahzi, B. J. Lee and R. J. Asaro, Mater. Sci. and Eng A189 (1994) 35.
C. G'sell and A. Dahoun, ibid. A175 (1994) 183.
S. K. Khan and S. Huang, “Continuum Theory of Plasticity” (John Wiley & Sons Inc, New York, 1995).
W. Kuhn and F. GrÑn, Kolloidzschr. 101 (1942) 248.
A. S. Maxwell, A. P. Unwin and I. M. Ward, Polymer 37 (1996) 3283.
Z. Bartczak, A. Galeski, A. S. Argon and R. E. Cohen, Polymer 37 (1996) 2113.
N. Brown and I. M. Ward, J. Mater. Sci. 18 (1983) 1405.
R. G. Vadimsky, H. D. Keith and F. J. Padden, J. Polymer Sci. part A-2 7 (1969) 1367.
P. J. Flory and D. Y. Yoon, Nature 272 (1978) 226.
R. Alamo, R. Domszy and L. Mandelkern, J. Phys. Chem. 88 (1984) 6587.
P. Schouterden, G. Groeninckx, B. Van Der Heijden and F. Jansen, Polymer 28 (1987) 2099.
H. Sch [a1]Önherr, G. J. Vancso and A. S. Argon, ibid. 36 (1995) 2115.
J. W. S. Hearle, “Polymers and their Properties, Volume 1: Fundamentals of Structure and Mechanics” (Ellis Horwood Ltd, Chichester, 1982).
M. F. Butler, A. M. Donald and J. R. Ryan, in Proc. 10th International Conference on Deformation Yield and Fracture of Polymers (Institute of Materials, London, 1997) p. 41.
A. S. Krausz, H. Eyring, “Deformation Kinetics” (John Wiley and Sons, New York, 1975).
B. Crist, in “The Physics of Glassy Polymers,” edited by R. N. Howard and R. J. Young (Chapman and Hall, London, 1997).
Z. Bartczak, A. S. Argon and R. E. Cohen, Polymer 35 (1994) 3427.
Z. Bartczak, A. S. Argon and R. E. Cohen Idem., Macromolecules 25 (1992) 5036.
R. J. Young, P. B. Bowden, J. M. Ritchie and J. G. Rider, J. Mater. Sci. 8 (1973) 23.
L. G. Shadrake and F. Guiu, Phil. Mag. 34 (1976) 565.
A. Galeski, Z. Bartczak, A. S. Argon and R. E. Cohen, Macromolecules 25 (1992) 5705.
H. Gleiter and A. S. Argon, Phil. Mag. 24 (1971) 71.
R. J. Young, ibid. 30 (1974) 85.
J. M. Peterson, J. Appl. Phys. 37 (1966) 4047.
L. Lin and A. S. Argon, J. Mater. Sci. 29 (1994) 294.
J. Friedel, in “Dislocations,” edited by R. Smoluchowski and N. Kurti (Pergamon, Oxford, 1964).
J. O. Eshelby and A. N. Stroh, Phil. Mag. 42 (1951) 1401.
U. F. Kocks, A. S. Argon and M. F. Ashby, “Progress in Materials Sci,” edited by B. Chalmers, J. W. Christian and T. B. Massaloki (Pergamonn, Oxford, 1975).
P. Davis, PhD thesis, University of London (1999).
W. Wu, G. D. Wignall and L. Mandelkern, Polymer 33 (1992) 4137.
T. Hinton and J. G. Rider, J Appl. Phys. 39 (1968) 4932.
I. M. Ward and D. W. Hadley, “An Introduction to the Mechanical Properties of Solid Polymers” (John Wiley and Sons Ltd, Chichester, 1993).
R. J. Young, Mater. Forum 11 (1988) 210.
M. A. Kennedy, A. J. Peacock, M. D. Failla, J. C. Lucas and L. Mandelkern, Macromolecules 28 (1995) 1407.
C. G'sell, S. Boni and S. Shrivastasa, J. Mater. Sci. 18 (1983) 903. [A1]
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Ritchie, S.J.K. A model for the large-strain deformation of polyethylene. Journal of Materials Science 35, 5829–5837 (2000). https://doi.org/10.1023/A:1026744005955
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DOI: https://doi.org/10.1023/A:1026744005955