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A new constitutive equation derived from network theory
Nhan Phan Thien,Roger I. Tanner +1 more
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In this paper, a constitutive equation is derived from a Lodge-Yamamoto type of network theory for polymeric fluids, where the network junctions are not assumed to move strictly as points of the continuum but allowed a certain "effective slip".Abstract:
A constitutive equation is derived from a Lodge—Yamamoto type of network theory for polymeric fluids. The network junctions are not assumed to move strictly as points of the continuum but allowed a certain “effective slip”. The rates of creation and destruction of junctions are assumed to depend on the instantaneous elastic energy of the network, or equivalently, the average extension of the network strand, in a simple manner. Agreement between model predictions and the I.U.P.A.C. data on L.D.P.E. is good.read more
Citations
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Nature of Steady-State Fast Flow in Entangled Polymer Melts: Chain Stretching, Shear Thinning, and Viscosity Scaling
TL;DR: In this paper , the steady-state shear viscosity of entangled polymer melts at high Rouse Weissenberg numbers, WiR > 1, was studied and a model based on tension blob concepts was proposed to obtain a universal expression for the shear-thinning behavior controlled by dissipative considerations associated with orientational stress.
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A new numerical algorithm for viscoelastic fluid flows : The grid-by-grid inversion method
H.M. Park,J.Y. Lim +1 more
TL;DR: In this article, a grid-by-grid inversion method for solving viscoelastic flows with a general constitutive equation is presented. But the authors consider the case where the convective transport of stress tensor is treated as a source, and the set of six tensor components is found after inverting a six by six matrix at each grid point.
Journal ArticleDOI
A new class of stochastic simulation models for polymer stress calculation
TL;DR: In this article, a new class of stochastic models for polymer stresses is introduced, which offers a blending of continuum mechanics, network theory and reptation theory, and simulation models from this new class are used to predict rheological behavior of three low-density polyethylene melts.
Journal ArticleDOI
Elongation viscosity estimates of linear low‐density polyethylene/ low‐density polyethylene blends
TL;DR: In this paper, the authors used an entry flow analysis to estimate the elongational viscosity of two series of linear low-density polyethylene/low-densitypolyethylene blends.
References
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Journal ArticleDOI
The Visco-elastic Properties of Network Structure I. General Formalism
TL;DR: In this article, the authors derived the stress-strain-time (S − S − T )relation at each instance of macroscopic observations by using the statistical mechanical considerations of equilibrium states.
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Constitutive equations from molecular network theories for polymer solutions
TL;DR: In this article, constitutive equations based on the network models of Yamamoto, Lodge, and Kaye are re-derived in a common notation involving the use of base vectors embedded in the deforming macroscopic continuum.
Journal ArticleDOI
Anisotropic Fluid Theory: A Different Approach to the Dumbbell Theory of Dilute Polymer Solutions
R. J. Gordon,W. R. Schowalter +1 more
TL;DR: In this paper, the authors used the continuum theory of anisotropic fluids, as developed by Ericksen and others, to formulate an expression for the time derivative of the end-to-end vector of a linear macromolecule when used in conjunction with the equation describing the distribution function for a dilute solution of dumbbell elements.