1. A model with a relaxation spectrum independent of accumulated elastic strains describes the combination of data on the amplitude and frequency dependences of the components of the shear modulus in terms of basic harmonics for low-molecular-weight polyisobutylene and a filled-polyethylene melt.
2. The greater the amplitude of the shear strain, the broader the region of invariance of the relaxation functions relative to the amplitude of the rate of oscillatory shear.
3. The kinetic λ(s) function affects the amplitude dependences of the modulus in terms of basic harmonics. Its effect is significantly greater on the real component of the modulus than on the imaginary one.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
A. R. Payne and R. E. Whittaker, "Dynamic properties of materials," Rheol. Acta.,9, No. 1, 91–96 (1970).
M. F. Astbury and F. Moore, "Torsional hysteresis in plastic clay and its interpretation," Mater. Res. Stand.,5, No. 4, 178–183 (1965).
L. A. Faitel'son and M. G. Tsiprin, "Dependence of viscoelastic properties of polymer melts on degree of filling and the frequency and gradient of the oscillatory shear rate," Mekh. Polim., No. 3, 515–522 (1968).
T. Matsumoto, C. Hitomi, and S. Onogi, "Rheological properties of disperse systems of spherical particles in polystyrene solution at long time scales," Trans. Soc. Rheol.,19, No. 4, 541–555 (1975).
T. T. Tee and J. M. Dealy, "Nonlinear viscoelasticity of polymer melts," Trans. Soc. Rheol.,19, No. 4, 595–615 (1975).
G. V. Vinogradov, Yu. G. Yanovskii, and A. I. Isaev, "Effect of vibrations on polymers," in: Progress in Polymer Rheology [in Russian], Moscow (1970), pp. 79–97.
M. G. Tsiprin and L. A. Faitel'son, "Processing and interpreting experimental results on the nonlinear periodic deformation of thixotropic media," Mekh. Polim., No. 4, 689–696 (1972).
K. D. Boggi, "Nonlinear response of soapy and inorganic consistent lubricants," Proc. Am. Soc. Mech. Eng., No. 3,90, No. 3, 84–93 (1968).
M. G. Tsiprin, A. I. Leonov, and L. A. Faitel'son, "Periodic deformation and viscous flow of polymer solutions and melts. 2," Mekh. Polim., No. 2, 357–366 (1970).
J. F. Macdonald, B. D. Marsh, and E. Ashare, "Rheological behavior for large-amplitude oscillatory motion," Chem. Eng. Sci.,24, No. 10, 1615–1625 (1969).
S. Onogi, T. Masuda, and T. Matsumoto, "Nonlinear behavior of viscoelastic materials. 1. Disperse systems of polystyrene solution and carbon black," Trans. Soc. Rheol.,14, No. 2, 275–294 (1970).
L. G. Gross and B. Maxwell, "The limit of linear viscoelastic response in polymer melts as measured in the Maxwell orthogonal rheometer," Trans. Soc. Rheol.,16, No. 4, 557–601 (1972).
M. G. Tsiprin, "Flow of polymer solutions and melts subject to steady and periodic deformation. 1," Mekh. Polim., No. 1, 127–137 (1977).
M. G. Tsiprin, "Flow of polymer solutions and melts subject to steady and periodic deformation. 2," Mekh. Polim., No. 2, 294–305 (1977).
W. Philippoff, "Vibrational measurements with large amplitudes," Trans. Soc. Rheol.,10, No. 1, 317–334 (1966).
M. G. Tsiprin, "Relaxation spectra of filled-polyethylene melts," Izv. Akad. Nauk LatvSSR, No. 2 (271), 85–89 (1970).
J. D. Huppler, E. Ashare, and L. A. Holmes, "Rheological properties of three solutions. Part 1," Trans. Soc. Rheol.,11, No. 2, 159–179 (1967).
Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga. Translated from Mekhanika Polimerov, No. 6, pp. 1093–1100, November–December, 1977.
About this article
Cite this article
Tsiprin, M.G. Nonlinear shear response of fluid polymers during periodic deformation. Basic harmonics. Polymer Mechanics 13, 913–919 (1977). https://doi.org/10.1007/BF00867002
- Shear Modulus
- Shear Strain
- Frequency Dependence
- Elastic Strain