Abstract
Allowing for flow-dependent slip in the junctions of a temporary junction network, we derive the constitutive equations of temporary slip-link networks. The stress tensor is determined by three material functions, namely, the time-dependent linear-viscoelastic memory function, and two strain-dependent functions describing slip and disentanglement of network strands. Slip and disentanglement are related via a mass balance for network strands.
By specifying slip and disentanglement, the constitutive equations of Lodge, Wagner, Doi-Edwards, and Marrucci are shown to be special temporary slip-link constitutive equations. To demonstrate the predictive power of temporary slip-link network theories, we compare predictions and extensional flow data with step change in flow direction.
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Lodge AS, Armstrong RC, Wagner MH, Winter HH (1982) Pure & Appl Chem 54:1349
Edwards SF, Vilgis TA (1988) Rep Prog Phys 51:243
Heinrich G, Straube E, Helmis G (1988) Adv Polym Sci 85:33
Wagner MH, Meissner J (1980) Makromol Chem 181:1533
Green MS, Tobolsky AV (1946) J Chem Phys 14:80
Yamamoto J (1956) J Phys Soc Japan 11:413
Lodge AS (1956) Trans Faraday Soc 52:120
Lodge AS (1964) Elastic liquids. Academic Press, London New York
Lodge AS (1968) Rheol Acta 7:379
Doi M, Edwards SF (1978) Faraday Trans II 74:1802
Doi M, Edwards SF (1986) Theory of polymer dynamics. Oxford University Press, Oxford
Larson RG (1988) Constitutive equations for polymer melts and solutions. Butterworths, London
Wagner MH (1990) Rheol Acta 29:594
Graessley WW (1982) Adv Polym Sci 47:68
Edwards SF (1976) Molecular fluids. In: Balian R, Weill G (eds), Gordon and Breach, New York
Wagner MH (1976) Rheol Acta 15:136
Wagner MH (1978) J Non-Newtonian Fluid Mech 4:39
Laun HM (1978) Rheol Acta 17:1
Wagner MH, Laun HM (1978) Rheol Acta 17:138
Wagner MH (1979) Rheol Acta 18:33
Marrucci G, de Cindio G (1980) Rheol Acta 19:68
Wagner MH, Schaeffer J (1992) J Rheol (in print)
Marrucci G, Hermans JJ (1980) Macromolecules 13:380
Demarmels A, Meissner J (1985) Rheol Acta 24:253
Demarmels A, Meissner J (1986) Colloid and Polym Sci 264:829
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Dedicated to Professor Arthur S. Lodge on the occasion of his 70th birthday and his retirement from the University of Wisconsin.
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Wagner, M.H., Schaeffer, J. Constitutive equations from Gaussian slip-link network theories in polymer melt rheology. Rheol Acta 31, 22–31 (1992). https://doi.org/10.1007/BF00396464
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DOI: https://doi.org/10.1007/BF00396464