Abstract
A semi-empirical framework for the thermorheological description of the flow of viscoelastic materials is presented. The framework summarizes existing constitutive models and offers the possibilty to investigate and extend these models in a systematic way. Modelling starts with an expression for the stress tensor in terms of the microstructure and the principal nonaffine motion thereof. Finally, however, equations are formulated in macroscopic terms and constitutive equations of the differential type emerge. Thus it is prevented that these equations become too complex for use in numerical simulations of nonisothermal transient viscoelastic flows.
The Clausius-Duhem inequality and the energy eqaution are discussed in terms of this framework, allowing to decide directly whether a model is thermodynamically admissable. It is shown as an example that the differential form of the Doi/Edwards model does not fit well in the general framework of themodynamics and suggestion to solve this problem are discussed.
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© 1995 Springer Science+Business Media Dordrecht
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Peters, G.W.M. (1995). Thermorheological Modelling of Viscoelastic Materials. In: Dijksman, J.F., Kuiken, G.D.C. (eds) IUTAM Symposium on Numerical Simulation of Non-Isothermal Flow of Viscoelastic Liquids. Fluid Mechanics and Its Applications, vol 28. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0191-2_3
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DOI: https://doi.org/10.1007/978-94-011-0191-2_3
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