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Elastic Behaviour of some Polymer Melts

Nature volume 218, pages 865–866 (1968)Cite this article

Abstract

QUITE general continuum-mechanical arguments1 show that the “steady state shear compliance” Je of linear visco-elasticity2 can be related to the normal stress effects in steady simple shear flow3. Consider the usual arrangement with 1 = direction of flow, 2 = direction of velocity gradient and 3 = indifferent direction, in which case where ɣ̇ is the rate of shear, p12 the shear stress and P11−P22 the first normal stress difference. If, as is often found, P11−P22 increases linearly with the square of the shear stress, there is no need to extrapolate to zero rate of shear.

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References

  1. Coleman, B. D., and Noll, W., Rev. Mod. Phys., 33, 239 (1961).

    Article  ADS  Google Scholar 

  2. Ferry, J. D., Visco-elastic Properties of Polymers, 56 (John Wiley and Sons, Inc., New York, 1961).

    Google Scholar 

  3. Coleman, B. D., and Markovitz, H., J. Appl. Phys., 35, 1 (1964).

    Article  ADS  MathSciNet  Google Scholar 

  4. Janeschitz-Kriegl, H., Kolloid-Z., 203, 119 (1965).

    Article  CAS  Google Scholar 

  5. Janeschitz-Kriegl, H., and Daum, U., Kolloid-Z., 210, 112 (1966).

    Article  CAS  Google Scholar 

  6. Yamamoto, M., J. Phys. Soc. Japan., 11, 413 (1956).

    Article  ADS  MathSciNet  Google Scholar 

  7. Lodge, A. S., Trans. Faraday Soc., 5, 120 (1956).

    Article  Google Scholar 

  8. Ferry, J. D., Visco-elastic Properties of Polymers, 151 (John Wiley and Sons, Inc., New York, 1961).

    Google Scholar 

  9. Ferry, J. D., Visco-elastic Properties of Polymers, 171 (John Wiley and Sons, Inc., New York, 1961).

    Google Scholar 

  10. Janeschitz-Kriegl, H., and Wales, J. L. S., Nature, 213, 1116 (1967).

    Article  ADS  CAS  Google Scholar 

  11. Akovali, G., J. Polymer Sci., A-2, 5, 875 (1967).

    CAS  Google Scholar 

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Authors and Affiliations

  1. Koninklijke/Shell-Laboratorium, Amsterdam

    H. J. M. A. MIERAS & C. F. H. VAN RIJN

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  1. H. J. M. A. MIERAS
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  2. C. F. H. VAN RIJN
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MIERAS, H., VAN RIJN, C. Elastic Behaviour of some Polymer Melts. Nature 218, 865–866 (1968). https://doi.org/10.1038/218865b0

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