Skip to main content
Log in

Assessment of nonlinear strain measures for extensional and shearing flows of polymer melts

  • Published:
Rheologica Acta Aims and scope Submit manuscript

Abstract

From stress-strain experiments in extensional and shearing flows, nonlinear strain measures and effective damping functions are derived for a polyisobutylene melt. The strain measures determined in planar extensional flow and in simple shear flow coincide. Experimental results are compared with predictions of two molecular theories, the Doi-Edwards model and the molecular stress function approach of Wagner and Schaeffer. Discrepancies between theories and experiment lead to a reconsideration of the classification of extensional flows. The symmetry of the flow field is identified and quantified as an important parameter influencing the strain measure, and a unifying strain measure for general extensional and shearing flows of polymer melts is presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Brod H, Buggisch H (1992) Ein Rheometer zur Untersuchung von flüssigen Polymermaterialien in einachsiger and zweiachsiger Dehnung. Rheol Acta 31:283 – 293

    Google Scholar 

  • Demarmels A (1983) Das rheologische Verhalten von Polyisobutylen bei mehrachsigen Dehnstromungen und seine Beschreibung in den Netzwerktheorien. Dissertation ETH Zürich Nr 7345

  • Demarmels A, Meissner J (1986) Multiaxial elongations of polyisobutylene and the predictions of several network theories. Colloid Polym Sci 264:829 – 846

    Google Scholar 

  • Doi M, Edwards SF (1978) Dynamics of concentrated polymer systems. Faraday Trans II, 74:1818 – 1832

    Google Scholar 

  • Geiger K (1986) Bogenspalt-Kapillarrheometer zur Ermittlung viskoser and elastischer Eigenschaften von Kunststoffschmelzen. Dissertation Universität Stuttgart

  • Hoppler HU (1990) Die Beschreibung der dehnungsinduzierten Doppelbrechung von geschmolzenem Polystyrol mit einem kinetischen Orientierungs-Modell. Dissertation ETH Zürich Nr 9099

  • Khan SA, Larson RG (1991) Step planar extension of polymer melts using a lubricated channel. Rheol Acta 30:1–6

    Google Scholar 

  • Larson RG (1988) Constitutive equations for polymer melts and solutions. Butterworths, London

    Google Scholar 

  • Laun HM (1978) Description of the non-linear shear behaviour of a low density polyethylene melt by means of an experimentally determined strain dependent memory function. Rheol Acta 17:1–15

    Google Scholar 

  • Laun HM (1980) Stresses and recoverable strains of stretched polymer melts and their prediction by means of a single integral constitutive equation. Proc VIIth Int Congress Rheology, Naples p 419–424

  • Laun HM, Schuch H (1989) Transient elongational viscosities and drawability of polymer melts. J Rheol 33:119–175

    Google Scholar 

  • Lodge AS (1964) “Elastic liquids”. Academic Press, London New York

    Google Scholar 

  • Meissner J (1972) Modifications of the Weissenberg rheogoniometer for measurement of transient rheological properties of molten polyethylene under shear. Comparison with tensile data. J Appl Polym Sci 16:2877–2899

    Google Scholar 

  • Samurkas T, Larson RG, Dealy JM (1989) Strong extensional and shearing flow of a branched polyethylene. J Rheol 33:559–578

    Google Scholar 

  • Schaeffer J, Wagner MH (1993) Nonlinear strain measures for extensional and shearing flows of polymer melts. ASME Winter Annual Meeting, developments in nonNewtonian flows. AMD-Vol 175:27 – 34

    Google Scholar 

  • Schaeffer J (1994) Entwicklung einer rheologischen Zustandsgleichung für biaxiale Dehnungen und Scherung von Polymerschmelzen. Dissertation Universität of Stuttgart

  • Soskey P, Winter H (1984) Large step shear strain experiments with parallel-disk rotational rheometers. J Rheol 28:625 – 645

    Google Scholar 

  • Stephenson S (1980) Biaxial elongational flow of polymer melts and its realization in a newly developed rheometer. Dissertation ETH Zürich No 6664

  • Stevenson JF, Chung SC-K, Jenkins JT (1975) Evaluation of material functions for steady elongational flow. Trans Soc Rheol 19:397–405

    Google Scholar 

  • Wagner MH (1976) Analysis of time-dependent non-linear stress-growth data for shear and elongational flow of a low-density branched polyethylene melt. Rheol Acta 17:136–142

    Google Scholar 

  • Wagner MH (1978) A constitutive analysis of uniaxial elongational flow data of low-density polyethylene melt. J Non-Newtonian Fluid Mech 4:39 – 55

    Google Scholar 

  • Wagner MH, Laun HM (1978) Nonlinear shear creep and constrained elastic recovery of a LDPE melt. Rheol Acta 17:138–148

    Google Scholar 

  • Wagner MH (1979) Zur Netzwerktheorie von Polymer-Schmelzen. Rheol Acta 18:33 – 50

    Google Scholar 

  • Wagner MH (1990) The nonlinear strain measure of polyisobutylene melt in general biaxial flow and its comparison to the Doi-Edwards model. Rheol Acta 29:594 – 603

    Google Scholar 

  • Wagner MH, Demarmels A (1990) A constitutive analysis of extensional flows of polyisobutylene. J Rheol 34:943 – 958

    Google Scholar 

  • Wagner MH, Schaeffer J (1992) Nonlinear strain measures for general biaxial extension of polymer melts. J Rheol 36:1–26

    Google Scholar 

  • Wagner MH, Schaeffer J (1993) Rubbers and polymer melts: universal aspects of nonlinear stress-strain relations. J Rheol 37:643–661

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wagner, M.H., Schaeffer, J. Assessment of nonlinear strain measures for extensional and shearing flows of polymer melts. Rheol Acta 33, 506–516 (1994). https://doi.org/10.1007/BF00366335

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00366335

Key words

Navigation