Constitutive equations for polymer

R. G. Larson, Constitutive Equations for Polymer Melts and Solutions, Butterworths, Boston (1988). 

Larson RG (1988) Constitutive equations for polymer melts and solutions, Butter-worths, Boston, p 256... 

Molecular Constitutive Equations for Polymer Melts in Viscoelastic Flow Solvers... 

The close fit of the experimental data and the values predicted by the constitutive modified Halpin-Tsai equations I and II (24) and (25), as seen in Fig. 43 (for NR) illustrates the appropriate definition of the IAF. Table 10 also confirms that newly devised equations (24) and (25) provide astounding results because their predictions conform to the experimental data. The introduction of IAF imparts a definitive change to the predicting ability of the constitutive equations for polymer/filler nanocomposites (Fig. 43 Table 10). 

Lodge,A.S., Wu,Y.-J. Constitutive equations for polymer solutions derived from the bead/spring model of Rouse and Zimm. Rheol. Acta 10,539-553 (1971). 

J. P. W. Baaijens, Evaluation of Constitutive Equations for Polymer Melts and Solutions in Complex Flows, Eindhoven University of Technology, Department of Mechanical Engineering, Eindhoven, The Netherlands (1994). 

We have tried to give a quick glimpse of the interrelationships among some commonly used constitutive equations for polymer melts and solutions. None predicts quantitatively the entire spectrum of the rheological behavior of these materials. Some are better than others, becoming more powerful by utilizing more detailed and realistic molecular models. These, however, are more complex to use in connection with the equation of motion. Table 3.1 summarizes the predictive abilities of some of the foregoing, as well as other constitutive equations. 

Molecular theories, utilizing physically reasonable but approximate molecular models, can be used to specify the stress tensor expressions in nonlinear viscoelastic constitutive equations for polymer melts. These theories, called kinetic theories of polymers, are, of course, much more complex than, say, the kinetic theory of gases. Nevertheless, like the latter, they simplify the complicated physical realities of the substances involved, and we use approximate cartoon representations of macromolecular dynamics to describe the real response of these substances. Because of the relative simplicity of the models, a number of response parameters have to be chosen by trial and error to represent the real response. Unfortunately, such parameters are material specific, and we are unable to predict or specify from them the specific values of the corresponding parameters of other... 

H. Giesekus, A Simple Constitutive Equation for Polymer Fluids Based on the Concept of Deformation-dependent Tensorial Mobility, J. Non-Newt. Fluid Mech., 11, 60-109 (1982). 

Larson RG, "Constitutive Equations for Polymer Melts and Solutions", Butterworth, London, 1988. 

P.KCurrie, Constitutive equations for polymer melts predicted by the Doi-Edwards and Curtiss-Bird kinetic theory models, J. of Non-Newt. Fluid Mech. 11 (1982), 53-68. 

S.A.Khan, R.G.Larson, Comparison of simple constitutive equations for polymer melts in shear and biaxial and uniaxial extensions, J. Rheol. 21 (1987), 207-234. 

Chemical Process Equipment Selection and Design Stanley M. Walas Chemical Process Structures and Information Flows Richard S.H. Mah Computational Methods for Process Simulation W. Fred Ramirez Constitutive Equations for Polymer Melts and Solutions Ronald G, Larson Fundamental Process Control David M. Prett and Carlos E, Garcia Gas-Liquid-Solid Fluidization Engineering Liang-Shih Fan Gas Separation by Adsorption Processes Ralph T. Yang... 

Larson, R.G., 1988. Constitutive Equations for Polymer Melts and Solutions. Buttersworth, Boston. Larson, R.G., Valesano, V.A., 1986. J. Rheol. 30,1093. 

Giesekus, H., A simple constitutive equation for polymer fluids based on the concept of deformation dependent tensorial mobility, J. Non-Newtonian Fluid Mech., 11, 69-109 (1982). 

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