A ?constrained-chain? network model for viscoelastic fluids

Chan, Tung W.; Macdonald, Ian

doi:10.1007/bf01333766

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1983

1988

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“…The model predictions for some material functions are given and compared with experimental data in Part II [13].…”

Section: Introductionmentioning

confidence: 99%

A ?constrained-chain? network model for viscoelastic fluids

Chan

Macdonald

1983

Rheol Acta

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The "constrained-chain" theory of rubber elasticity proposed by Crossland and van der Hoffwas found by them to predict quantitatively many salient features of experimental studies.The present work utilized the "constrained-chain" strain-energy function in a development parallel to that of the "rubberlike liquid" model of Lodge to arrive at a naturally strain-dependent integral constitutive equat_ion for viscoelastic fluids. It can be considered as a particular case of the K-BKZ model with part of the memory function arising from a molecular model. The memory function contains the only nonlinear parameter of the model, the maximum extensibility of a network chain. The model gives a singularity in the stress integral when a network chain is streched to its maximum extensibility. To eliminate this singularity, an assumption has been made which reduces the number of fully extended network chains to zero. Alternative approaches are discussed briefly.

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“…The model predictions for some material functions are given and compared with experimental data in Part II [13].…”

Section: Introductionmentioning

confidence: 99%