Abstract
We present a new method for the analysis of stress–strain curves for crystalline polymers such as polypropylene and polyethylene. A nonlinear constitutive equation that includes terms that cover the plastic deformation and anharmonicity of the spring is developed. In order to quantitatively characterize the nonlinear viscoelasticity using this equation, data on the transient moduli during elongation at a constant rate of strain are required. Hence, the simultaneous measurements of linear oscillatory viscoelastic moduli during a constant rate of elongation were investigated. It was found that the present method makes possible the evaluation of the plastic deformation fraction and the Gruneisen constant for crystalline polymers. © 1998 Chapman & Hall
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References
I. M. Ward and P. W. Hadley, “An introduction to the mechanical properties of solid polymers” (Wiley, New York, 1993).
H. Leaderman, “Elastic and creep properties of filamentous material” (Textile Foundation, Washington D.C., 1943).
R. G. Larson, “Constitutive equations for polymer melts and solutions” (Butterworths, Boston, 1988).
B. Bernstein, E. A. Kearsley and L. J. Zappas, Trans. Soc. Rheol. 7 (1963) 391.
R. A. Schapery, Polym. Engng Sci. 9 (1969) 295.
A. Green and R. S. Rivlin, Arch. Rat. Mech. Anal. 1 (1957) 1.
O. Nakada, J. Phys. Soc. Jpn. 15 (1960) 2280.
K. Okano and O. Nakada, ibid. 16 (1961) 2071.
A. Tanaka and S. Onogi, Polym. Engng Rev. 3 (1983) 235.
J. Lai and A. Bakker, Polym. Engng Sci. 35 (1995) 1339.
L. Lin and A. S. Argon, J. Mater. Sci. 29 (1994) 294.
R. J. Samuels, in “Plastic deformation of polymers”, edited by A. Peterlin (Marcel Dekker, New York, 1971) p. 241.
J. M. Schultz, Polym. Engng Sci. 24 (1984) 771.
R. S. Bretzlaff and R. P. Wool, J. Appl. Phys. 52 (1981) 5964.
Y. Wada, A. Tanai, T. Nishi and S. Nagai, J. Polym. Sci. A 27 (1969) 201.
H. G. Olf and A. Peterlin, ibid. 28 (1969) 753.
K. Iohara, K. Imada and M. Takayanagi, Polym. J. 4 (1973) 239.
T. Kijima, K. Koga, K. Imada and M. Takayanagi, ibid. 7 (1973) 14.
J. C. Rodriguez-Cabello, J. C. Merino, T. Jawahari and J. M. Pastor, Polym. 36 (1995) 4233.
M. Toda, J. Phys. Soc. Jpn. 22 (1967) 431.
Idem., ibid. 23 (1967) 501.
C. Kittel, “Introduction to solid state physics” (Wiley, New York, 1966).
S. Onogi, A. Tanaka and M. Ishikawa, Polym. J. 7 (1975) 467.
A. Tanaka, K. Tanai and S. Onogi, Bull. Inst. Chem. Res. Kyoto Univ. 55 (1977) 177.
T. Yamaguchi, T. Yanagawa and S. Kimura, Sen-i Gakkaishi 32 (1976) 403.
G. W. Becker and H. J. Rademacher, J. Polym. Sci. 58 (1962) 621.
F. R. Schwarzl, Rheol. Acta 14 (1975) 581.
B. K. Sharma, Polym. 24 (1983) 314.
E. L. Rodriguez and F. E. Filisko, J. Mater. Sci. 22 (1987) 1934.
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Nitta, KH., Yamaguchi, M. A constitutive equation for nonlinear stress–strain curves of crystalline polymers. Journal of Materials Science 33, 1015–1021 (1998). https://doi.org/10.1023/A:1004372130463
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DOI: https://doi.org/10.1023/A:1004372130463