scholarly journals Theory of Nonlinear Viscoelasticity in Temporarily Crosslinked Polymer Systems

1985 ◽  
Vol 17 (4) ◽  
pp. 597-606 ◽  
Author(s):  
Shizuo Hayashi
2021 ◽  
Vol 89 (1) ◽  
Author(s):  
Samuel Lamont ◽  
Franck J. Vernerey

Abstract Viscoelastic material behavior in polymer systems largely arises from dynamic topological rearrangement at the network level. In this paper, we present a physically motivated microsphere formulation for modeling the mechanics of transient polymer networks. By following the directional statistics of chain alignment and local chain stretch, the transient microsphere model (TMM) is fully anisotropic and micro-mechanically based. Network evolution is tracked throughout deformation using a Fokker–Planck equation that incorporates the effects of bond creation and deletion at rates that are sensitive to the chain-level environment. Using published data, we demonstrate the model to capture various material responses observed in physical polymers.


Author(s):  
Ronald G. Larson ◽  
Zuowei Wang

This article explores the dynamics of entangled polymers, with particular emphasis on how the unusual and often dramatic mechanical properties of concentrated polymer systems are determined by the physics of entanglements. It begins with an overview of the foundations of entangled polymer dynamics, organized around tubes and slip links used in modeling entanglements, the packing length and concentration effects, the results of computer simulations on entanglements, topological contacts, and the effects of large deformations. The focus is on the nature of ‘entanglement’, both from a bottom-up molecular view, and from a phenomenological one. The discussion then turns to the linear viscoelasticity of entangled polymer solutions and melts, along with nonlinear viscoelasticity. Models of polymer dynamics in the linear regime are also described, including the ‘standard tube model’. The article concludes with suggestions for future work.


1980 ◽  
Vol 22 (12) ◽  
pp. 2940-2946
Author(s):  
Yu.V. Brestkin ◽  
L.S. Andrianova ◽  
G.P. Belonovskaya ◽  
Zh.D. Chernova ◽  
S.Ya. Frenkel'

2021 ◽  
Vol 14 (1) ◽  
pp. 12-29
Author(s):  
A.A. Laas ◽  
M.A. Makarova ◽  
A.S. Malygina ◽  
G.O. Rudakov ◽  
G.V. Pyshnograi

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