We present a general algorithm for predicting the linear rheology of branched polymers. While the method draws heavily on existing theoretical understanding of the relaxation processes in entangled polymer melts, a number of new concepts are developed to handle diverse polymer architectures including branch-on-branch structures. We validate the algorithm with experimental examples from model polymer architectures to fix the parameters of the model. We use experimentally determined parameters to generate a numerical ensemble of branched metallocene-catalyzed polyethylene resins. Application of our algorithm shows the importance of branch-on-branch chains in the system and predicts the linear rheology with good quantitative agreement over a wide range of branching density and molecular weight.
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March 2006
Research Article|
March 01 2006
Computational linear rheology of general branch-on-branch polymers
Chinmay Das;
Chinmay Das
Department of Applied Mathematics,
University of Leeds
, Leeds, LS29JT, United Kingdom
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Nathanael J. Inkson;
Nathanael J. Inkson
Department of Applied Mathematics,
University of Leeds
, Leeds, LS29JT, United Kingdom
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Daniel J. Read;
Daniel J. Read
Department of Applied Mathematics,
University of Leeds
, Leeds, LS29JT, United Kingdom
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Mark A. Kelmanson;
Mark A. Kelmanson
Department of Applied Mathematics,
University of Leeds
, Leeds, LS29JT, United Kingdom
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Tom C. B. McLeish
Tom C. B. McLeish
Department of Physics and Astronomy,
University of Leeds
, Leeds, LS29JT, United Kingdom
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J. Rheol. 50, 207–234 (2006)
Article history
Received:
October 13 2005
Citation
Chinmay Das, Nathanael J. Inkson, Daniel J. Read, Mark A. Kelmanson, Tom C. B. McLeish; Computational linear rheology of general branch-on-branch polymers. J. Rheol. 1 March 2006; 50 (2): 207–234. https://doi.org/10.1122/1.2167487
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