A full-chain constitutive model for bidisperse blends of linear polymers

Read, Daniel J.; Jagannathan, Kamakshi; Sukumaran, Sathish K.; Auhl, Dietmar

doi:10.1122/1.4707948

Cited by 72 publications

(132 citation statements)

References 31 publications

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“…An analysis of this was presented in ref., 22 building on the earlier work of Viovy. 28 This analysis assumed independence between diffusive transport processes along thin and fat tubes, giving an equation for the friction coefficient per bead of the chain constrained by blinking and permanent entanglements: For the present SSp simulations, the analysis is made more complicated by the two specific issues identified above in section 6.1 and detailed in Appendices A and B: (i) the fact that the dilution factor f for the number of slip-links is not the same as the dilution factor for tube diameter, and (ii) the contribution of slip-links to the sliding friction.…”

Section: Two-tube System With a Fraction Of Never Relaxing Entanglemementioning

confidence: 99%

“…The first three systems may be located on the "Viovy diagram" for binary blend rheology as shown in the inset of Figure 2. 22 On the horizontal axis is the number of entanglements in the short short fat tube, and so to the left of the diagram no fat tube entanglements are important and there is a single constraint release rate. The vertical axis, the "Graessley parameter" is a measure of the rate of constraint release.…”

Section: Probe Chain In Moving Thin and Fat Tubesmentioning

confidence: 99%

“…For the analysis in the frame of tube theory, we utilize a methodology allowing us to calculate the effective friction in the fat tube, recently proposed by Read and coworkers in ref. 22 The central idea of this theory is to separate two independent modes of chain motion. The first mode is related to longitudinal (i.e.…”

Section: Dynamics Of Probe Chains In the Ssp Modelmentioning

confidence: 99%

“…This picture is tested by the analysis of four model systems designed to separate and estimate every single contribution involved in the relaxation of the probe's end-to-end vector in polydisperse systems. We follow the CR picture of (Viovy et al, 1991) and refine the effective chain friction in the thin and fat tubes based on (Read et al, 2012). The derived analytical equations form a basis for generalizing the proposed methodology to polydisperse mixtures of linear and branched polymers.…”

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confidence: 99%

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Understanding Effect of Constraint Release Environment on End-to-End Vector Relaxation of Linear Polymer Chains

et al. 2017

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In this study we propose and verify methods based on the slip-spring (SSp) model (Likhtman, 2005) for predicting the effect of any monodisperse, binary or ternary environment of topological constraints on the relaxation of the end-to-end vector of a linear probe chain. For this purpose we first validate the ability of the model to consistently predict both the viscoelastic 2 and dielectric response of monodisperse and binary mixtures of type-A polymers, based on published experimental data. We also report the synthesis of new binary and ternary Polybutadiene systems, the measurement of their linear viscoelastic response, and the prediction of these data by the SSp model. We next clarify the relaxation mechanisms of probe chains in these constraint release (CR) environments by analyzing a set of "toy" SSp models with simplified constraint release rates, by examining fluctuations of the end-to-end vector. In our analysis, the longest relaxation time of the probe chain is determined by a competition between the longest relaxation times of the effective CR motions of the fat and thin tubes, and the motion of the chain itself in the thin tube. This picture is tested by the analysis of four model systems designed to separate and estimate every single contribution involved in the relaxation of the probe's end-to-end vector in polydisperse systems. We follow the CR picture of (Viovy et al., 1991) and refine the effective chain friction in the thin and fat tubes based on (Read et al., 2012). The derived analytical equations form a basis for generalizing the proposed methodology to polydisperse mixtures of linear and branched polymers. The consistency between the the SSp model and tube model predictions is a strong indicator of the compatibility between these two distinct mesoscopic frameworks.

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Section: Two-tube System With a Fraction Of Never Relaxing Entanglemementioning

confidence: 99%

Section: Probe Chain In Moving Thin and Fat Tubesmentioning

confidence: 99%

Section: Dynamics Of Probe Chains In the Ssp Modelmentioning

confidence: 99%

mentioning

confidence: 99%

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Understanding Effect of Constraint Release Environment on End-to-End Vector Relaxation of Linear Polymer Chains

et al. 2017

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“…Over the years many attempts were done to build blend-ing laws based on the Doi-Edwards model (Lee et al (2005), Khaliullin and Schieber (2010), Read et al (2012), van Ruymbeke et al (2012) and van Ruymbeke et al (2014)). Two main boosts in the tube motion were proposed: a constraint released (CR) mechanism de Gennes (1975) and a dynamic tube dilation (DTD) mechanism by Marrucci (1985).…”

Section: Introductionmentioning

confidence: 99%

Stress relaxation of bi-disperse polystyrene melts

et al. 2016

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We present start-up of uniaxial extension followed by stress relaxation experiments of a bi-disperse 50% by weight blend of 95k and 545k molecular weight polystyrene. We also show, for comparison, stress relaxation measurements of the polystyrene melts with molecular weight 95k and 545k, which are the components of the bi-disperse melt. The measurements show three separated relaxation regimes: a fast regime, a transition regime and a slow regime. In the fast regime the orientation of the long chains is frozen and the stress relaxation is due to stretch relaxation of the short chains primarily. Conversely in the slow regime the long chains have retracted and undergo relaxation of orientation in fully relaxed short chains.

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From reactor to rheology in industrial polymers

Read

2014

J Polym Sci B Polym Phys

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This article reviews current efforts towards quantitative prediction of rheological properties of industrial polymer resins, based upon their polydisperse branched molecular structure. This involves both an understanding of how reactor and reaction conditions influence the distribution of chain lengths and branch placement (which is the province of reactor engineering) and an understanding of how the molecular structures in turn give rise to the rheology (the province of polymer physics). Both fields are reviewed at an introductory level, focussing in particular on developments in theoretical prediction of rheology for both entangled model polymers and industrial polymers. Finally, we discuss three classes of reaction for which the fields of reactor engineering and polymer physics have been truly combined to produce predictions from reactor to rheology.

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A full-chain constitutive model for bidisperse blends of linear polymers

Cited by 72 publications

References 31 publications

Understanding Effect of Constraint Release Environment on End-to-End Vector Relaxation of Linear Polymer Chains

Understanding Effect of Constraint Release Environment on End-to-End Vector Relaxation of Linear Polymer Chains

Stress relaxation of bi-disperse polystyrene melts

From reactor to rheology in industrial polymers

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