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Hoei Y. MOLECULAR TREATMENT OF RUBBER-LIKE ELASTICITY FOR ACTIVE FILLER–LOADED NETWORKS. RUBBER CHEMISTRY AND TECHNOLOGY 2015. [DOI: 10.5254/rct.15.84884] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Abstract
ABSTRACT
Prior comparison of experimental observations and model predictions for natural rubber/styrene–butadiene rubber carbon black–filled systems has indicated a need for further development of tubelike constraint-based entropy models. In particular, systems incorporating active fillers introduce constraints whose effects should be considered. This contribution extends the finite-extension single-chain model proposed originally by Teramoto, via consideration of the bound rubber layer surrounding a filler particle as well as filler-cluster breakup and strain-amplification effects. The resulting model includes descriptors of the entropy state of the polymer matrix, the affine and phantomlike chain deformation, and tube diameter. The model produced a more accurate prediction of the shape of observed stress–strain curves, particularly at moderate and high strains.
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Affiliation(s)
- Yoshio Hoei
- S & S Japan Company, Ltd., 6-1-18, Hamazoe-dori, Nagata-ku, Hyogo, 653-0024, Japan
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Stephanou PS, Baig C, Tsolou G, Mavrantzas VG, Kröger M. Quantifying chain reptation in entangled polymer melts: Topological and dynamical mapping of atomistic simulation results onto the tube model. J Chem Phys 2010; 132:124904. [DOI: 10.1063/1.3361674] [Citation(s) in RCA: 91] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Abstract
The entanglement of polymers in a melt or concentrated solution can be measured by the plateau modulus and takes the form
c
x
where
c
is the effective concentration of polymer and 2 <
x
< 3. Different arguments exist in the literature for
x
. It is shown in this paper that
x
may be directly calculated and that the value 3 comes from purely random walks as noted by Doi in a scaling argument,
x
= 2.25 from semidilute scaling theory, and
x
= 2 from a direct calculation of the entanglement by a cage of rectilinear molecules. Physical reality is reasonably placed between these limits. The whole analysis is based on the Gauss topological invariant.
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5
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Rubinstein M, Helfand E. Statistics of the entanglement of polymers: Concentration effects. J Chem Phys 1985. [DOI: 10.1063/1.448293] [Citation(s) in RCA: 79] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Bailey D, King T, Pinder D. Polymer diffusion at intermediate concentrations studied by photon correlation spectroscopy. Chem Phys 1976. [DOI: 10.1016/0301-0104(76)87053-x] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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