Proceedings of the 3rd Annual International Conference on Mechanics and Mechanical Engineering (MME 2016)

A Multichain Slip-Spring Model with Fluctuating Number of Entanglements Based On Single-Chain Slip-Spring Model

Authors
Teng Ma, Hui-Feng Tan, Lin Yu
Corresponding Author
Teng Ma
Available Online December 2016.
DOI
10.2991/mme-16.2017.70How to use a DOI?
Keywords
Single-chain slip-spring model, Entanglement, Excluded volume interaction.
Abstract

We present a multichain slip-spring model with fluctuating number of entanglements for dynamics of dense polymer melts, which is based on the single chain slip-spring model by Likhtman. By introducing the exclude volume interactions, a multichain version of slip-spring model can be presented with little modification. With this extension, inhomogeneous polymer system can be described properly. The renewal rules for the slip-spring satisfy the detailed balance condition and the number of slip-springs is no longer constant but controlled through a chemical potential. This completion can predict the Possion distribution of Z under equilibrium states and the decrease in the number of entanglements when applied a steady shear flow. The results agree with theoretical predictions and experimental phenomenon. The model bridges the single chain slip-spring model and multichain slip-spring model.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 3rd Annual International Conference on Mechanics and Mechanical Engineering (MME 2016)
Series
Advances in Engineering Research
Publication Date
December 2016
ISBN
10.2991/mme-16.2017.70
ISSN
2352-5401
DOI
10.2991/mme-16.2017.70How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Teng Ma
AU  - Hui-Feng Tan
AU  - Lin Yu
PY  - 2016/12
DA  - 2016/12
TI  - A Multichain Slip-Spring Model with Fluctuating Number of Entanglements Based On Single-Chain Slip-Spring Model
BT  - Proceedings of the 3rd Annual International Conference on Mechanics and Mechanical Engineering (MME 2016)
PB  - Atlantis Press
SP  - 515
EP  - 522
SN  - 2352-5401
UR  - https://doi.org/10.2991/mme-16.2017.70
DO  - 10.2991/mme-16.2017.70
ID  - Ma2016/12
ER  -