Theoretical Molecular Rheology of Branched Polymers in Simple and Complex Flows: The Pom-Pom Model

Bishko, G.; McLeish, Tom; Harlen, Oliver G.; Larson, Ronald G.

doi:10.1103/physrevlett.79.2352

Cited by 99 publications

(71 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Stadler and Münstedt [88,315] sought to use size-exclusion chromatography with multiangle laser light scattering (SEC-MALLS), and shear rheological measurements to analyze viscosity functions of LCB polyethylenes, by separating the influence of long-chain branching and molecular weight on rheology. Doerpinghaus and Baird [316] parameterized the pom-pom model, which describes the nonlinear rheology of BPs semiquantitatively [53,163,165,166,[317][318][319][320], to shear and extensional rheology for different levels of LCB.…”

Section: Experimental Methodsmentioning

confidence: 99%

Analytical Rheology of Polymer Melts: State of the Art

Shanbhag

2012

ISRN Materials Science

View full text Add to dashboard Cite

The extreme sensitivity of rheology to the microstructure of polymer melts has prompted the development of "analytical rheology," which seeks inferring the structure and composition of an unknown sample based on rheological measurements. Typically, this involves the inversion of a model, which may be mathematical, computational, or completely empirical. Despite the imperfect state of existing models, analytical rheology remains a practically useful enterprise. I review its successes and failures in inferring the molecular weight distribution of linear polymers and the branching content in branched polymers.

show abstract

Section: Experimental Methodsmentioning

confidence: 99%

Analytical Rheology of Polymer Melts: State of the Art

Shanbhag

2012

ISRN Materials Science

View full text Add to dashboard Cite

show abstract

“…A simpler class of polymers, pom-pom polymers comprising a single backbone with q identical side arms at the both ends, allow a simple constitutive equation that successfully captures the stress profile in nonlinear flow [Bisko et al (1997); McLeish and Larson (1998)]. The number of side arms q gives the maximum permissible tension on the backbone and hence gives the priority of the backbone.…”

Section: Priority Variable and Pom-pom Constitutive Equationsmentioning

confidence: 99%

Numerical prediction of nonlinear rheology of branched polymer melts

Das

Read

Auhl

et al. 2014

Journal of Rheology

View full text Add to dashboard Cite

The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. SynopsisIn a recent short communication [Read, D. J. et al., Science 333, 1871(2011], we showed that a computational scheme can describe the nonlinear flow properties for a series of industrial lowdensity polyethylene (LDPE) resins starting from the molecular architecture. The molecular architecture itself is determined by fitting parameters of a reaction kinetics model to average structural information obtained from gel-permeation chromatography and light scattering. Flow responses of these molecules in transient uniaxial extension and shear are calculated by mapping the stretch and orientation dynamics of the segments within the molecules to effective pom-pom modes. In this paper, we provide the details of the computational scheme and present additional results on a LDPE and a high-density polyethylene resin to illustrate the dependence of segmental maximum stretch variables on the flow rate. V C 2014 The Society of Rheology.

show abstract

“…While the motivating applications are important in their own right, we are confident that the underlying ideas have potential for a much wider class of applications. In addition to the areas mentioned in the Introduction, we feel that such an approach will eventually prove relevant in diverse areas such as electromagnetic polarization and conductivity in heterogeneous materials (see [9], [12] and the references cited therein), industrial polymeric melts ( [16], [17], [18], [24]), as well as in other biological applications [4] (e.g., disease pathogenesis, epidemiology, ecological migrations, and genomic to system response modelsbioinformatics!). The fact that the theoretical formulation leads readily to both computationally and theoretically sound approximations significantly enhances the attractiveness of this approach.…”

Section: Discussionmentioning

confidence: 99%

A Probabilistic Multiscale Approach to Hysteresis in Shear Wave Propagation in Biotissue

Banks¹,

Pintér²

2004

View full text Add to dashboard Cite

Motivated by a problem involving wave propagation through viscoelastic biotissue, we present a theoretical framework for treating hysteresis as multiscale phenomena which must be averaged across distributions of internal variables. The resulting systems entail probability measure dependent partial differential equations for which we establish well-posedness in a framework that leads readily to computationally useful approximations.

show abstract

Theoretical Molecular Rheology of Branched Polymers in Simple and Complex Flows: The Pom-Pom Model

Cited by 99 publications

References 19 publications

Analytical Rheology of Polymer Melts: State of the Art

Analytical Rheology of Polymer Melts: State of the Art

Numerical prediction of nonlinear rheology of branched polymer melts

A Probabilistic Multiscale Approach to Hysteresis in Shear Wave Propagation in Biotissue

Contact Info

Product

Resources

About