Strain Softening of Styrene-Isoprene-Styrene Copolymers under Large Amplitude Oscillatory Shear for Clarifying Payne Effect in Rubbers and Their Nanocomposites

Xin-Peng Fan; Yi-Hu Song; Qiang Zheng; Wan-Jie Wang

doi:10.1007/s10118-022-2832-z

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Strain Softening of Styrene-Isoprene-Styrene Copolymers under Large Amplitude Oscillatory Shear for Clarifying Payne Effect in Rubbers and Their Nanocomposites

RESEARCH ARTICLE | Updated：2022-12-19

- Strain Softening of Styrene-Isoprene-Styrene Copolymers under Large Amplitude Oscillatory Shear for Clarifying Payne Effect in Rubbers and Their Nanocomposites
- Strain Softening of Styrene-Isoprene-Styrene Copolymers under Large Amplitude Oscillatory Shear for Clarifying Payne Effect in Rubbers and Their Nanocomposites
- 高分子科学（英文版） 2023年41卷第1期页码：153-165
- Affiliations：
  
  a.MOE Key Laboratory of Macromolecular Synthesis and Functionalization, Department of Polymer Science and Engineering, Zhejiang University, Hangzhou 310027, China
  b.Shanxi-Zheda Institute of New Materials and Chemical Engineering, Taiyuan 030000, China
  c.College of Materials Science and Engineering, Henan Key Laboratory of Advanced Nylon Materials and Application, Zhengzhou University, Zhengzhou 450001, China
- Author bio：
  
  s_yh0411@zju.edu.cn
- Funds：
  
  This work was financially supported by the National Natural Science Foundation of China (Nos. U1908221, 51873190 and 51790503) and Shanxi-Zheda Institute of Advanced Materials and Chemical Engineering (No. 2021SZ-TD002).;Electronic supplementary information (ESI) is available free of charge in the online version of this article at http://doi.org/10.1007/s10118-022-2832-z.
- DOI：10.1007/s10118-022-2832-z
  中图分类号：
- 收稿：2022-05-03，
  
  修回：2022-6-22，
  
  录用：2022-7-11，
  
  网络首发：2022-10-08，
  
  纸质出版：2023-01-01
- Accepted：
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Fan, X. P.; Song, Y. H.; Zheng, Q.; Wang, W. J. Strain softening of styrene-isoprene-styrene copolymers under large amplitude oscillatory shear for clarifying Payne effect in rubbers and their nanocomposites. Chinese J. Polym. Sci. 2023, 41, 153–165

Xin-Peng Fan, Yi-Hu Song, Qiang Zheng, et al. Strain Softening of Styrene-Isoprene-Styrene Copolymers under Large Amplitude Oscillatory Shear for Clarifying Payne Effect in Rubbers and Their Nanocomposites[J]. Chinese Journal of Polymer Science, 2023, 41(1): 153-165.
Fan, X. P.; Song, Y. H.; Zheng, Q.; Wang, W. J. Strain softening of styrene-isoprene-styrene copolymers under large amplitude oscillatory shear for clarifying Payne effect in rubbers and their nanocomposites. Chinese J. Polym. Sci. 2023, 41, 153–165 DOI： 10.1007/s10118-022-2832-z.

Xin-Peng Fan, Yi-Hu Song, Qiang Zheng, et al. Strain Softening of Styrene-Isoprene-Styrene Copolymers under Large Amplitude Oscillatory Shear for Clarifying Payne Effect in Rubbers and Their Nanocomposites[J]. Chinese Journal of Polymer Science, 2023, 41(1): 153-165. DOI： 10.1007/s10118-022-2832-z.

摘要

A model study was performed to investigate the Payne effect of rubbers by using styrene-isoprene-styrene (SIS) copolymers. It was found that the normalized critical softening stress scales with density of elastic active strands (EANS) for copolymers rubbers and rubber nanocomposites.

Abstract

To illustrate mechanisms of Payne effect in rubbers and their nanocomposites experiencing large amplitude oscillatory shear (LAOS)

comparison studies were performed in styrene-isoprene-styrene (SIS) copolymers and their selectively crosslinked materials at temperatures below and above glass transition temperature of the polystyrene (PS) phase. It was found that under periodic dynamic shear

the strain softening is reversible when the polyisoprene (PI) phase

either crosslinked or not

is restricted by hard PS domains but it shows hysteresis once the PS domains disassociate. The strain softening can happen at the time scale of intrinsic Rouse relaxation of elastically active network strands. Critical stress of strain softening scales with number density of elastically active network strands

a simple relation being verified not only in the selectively crosslinked SIS copolymers but also in PI gum vulcanizates and carbon black filled PI compounds. Payne effect is traditionally used to term strain softening of highly filled rubber vulcanizates under LAOS deformation while evidenced herein is that the Payne effect of highly filled rubber vulcanizates shares the mechanism being common to the strain softening of SIS copolymers.

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Keywords

references

Payne, A . The dynamic properties of carbon black-loaded natural rubber vulcanizates. Part I . J. Appl. Polym. Sci. , 1962 . 6 57 - 63 . DOI: 10.1002/app.1962.070061906 http://doi.org/10.1002/app.1962.070061906 .

Payne, A . The dynamic properties of carbon black-loaded natural rubber vulcanizates. Part II . J. Appl. Polym. Sci. , 1962 . 6 368 - 372 . DOI: 10.1002/app.1962.070062115 http://doi.org/10.1002/app.1962.070062115 .

Heinrich, G.; Klüppel, M., In Filled elastomers drug delivery systems ; Springer, Berlin, Heidelberg, 2002 , pp. 1−44.

Lin, C.; Lee, Y . Strain-dependent dynamic properties of filled rubber network systems . Macromol. Theory Simul. , 1996 . 5 1075 - 1104 . DOI: 10.1002/mats.1996.040050605 http://doi.org/10.1002/mats.1996.040050605 .

Meier, J.; Klüppel, M . Carbon black networking in elastomers monitored by dynamic mechanical and dielectric spectroscopy . Macromol. Mater. Eng. , 2008 . 293 12 - 38 . DOI: 10.1002/mame.200700228 http://doi.org/10.1002/mame.200700228 .

Niedermeier, W.; Frohlich, J.; Luginsland, H . Reinforcement mechanism in the rubber matrix by active fillers . Kaut. Gummi Kunst. , 2002 . 55 356 - 356 . .

Kraus, G . Mechanical losses in carbon-black-filled rubbers . J. Appl. Polym. Sci. Symp. , 1984 . 39 75 - 92 . .

Fan, X.; Xu, H.; Wu, C.; Song, Y.; Zheng, Q . Influences of chemical crosslinking, physical associating, and filler filling on nonlinear rheological responses of polyisoprene . J. Rheol. , 2020 . 64 775 - 784 . DOI: 10.1122/1.5124034 http://doi.org/10.1122/1.5124034 .

Roh, J.; Roy, D.; Lee, W.; Gergely, A.; Puskas, J.; Roland, C . Thermoplastic elastomers of alloocimene and isobutylene triblock copolymers . Polymer , 2015 . 56 280 - 283 . DOI: 10.1016/j.polymer.2014.11.015 http://doi.org/10.1016/j.polymer.2014.11.015 .

Leblanc, J. L . Nonlinear viscoelastic characterization of molten thermoplastic vulcanizates (TPV) through large amplitude harmonic experiments . Rheol. Acta , 2007 . 46 1013 - 1027 . DOI: 10.1007/s00397-007-0185-8 http://doi.org/10.1007/s00397-007-0185-8 .

Kang, H.; Hu, X.; Li, M.; Zhang, L.; Wu, Y.; Ning, N.; Tian, M . Novel biobased thermoplastic elastomer consisting of synthetic polyester elastomer and polylactide by in situ dynamical crosslinking method . RSC Adv. , 2015 . 5 23498 - 23507 . DOI: 10.1039/C4RA17024E http://doi.org/10.1039/C4RA17024E .

Ramier, J.; Gauthier, C.; Chazeau, L.; Stelandre, L.; Guy, L . Payne effect in silica-filled styrene-butadiene rubber: influence of surface treatment . J. Polym. Sci., Part B: Polym. Phys. , 2007 . 45 286 - 298 . DOI: 10.1002/polb.21033 http://doi.org/10.1002/polb.21033 .

Merabia, S.; Sotta, P.; Long, D. R . A microscopic model for the reinforcement and the nonlinear behavior of filled elastomers and thermoplastic elastomers (Payne and Mullins effects) . Macromolecules , 2008 . 41 8252 - 8266 . DOI: 10.1021/ma8014728 http://doi.org/10.1021/ma8014728 .

Meera, A.; Said, S.; Grohens, Y.; Thomas, S . Nonlinear viscoelastic behavior of silica-filled natural rubber nanocomposites . J. Phys. Chem. C , 2009 . 113 17997 - 18002 . DOI: 10.1021/jp9020118 http://doi.org/10.1021/jp9020118 .

Sarvestani, A. S . On the emergence of the Payne effect in polymer melts reinforced with nanoparticles . Macromol. Theory Simul. , 2016 . 25 312 - 321 . DOI: 10.1002/mats.201600001 http://doi.org/10.1002/mats.201600001 .

Xu, H.; Ding, L.; Song, Y.; Wang, W . Rheology of end-linking polydimethylsiloxane networks filled with silica . J. Rheol. , 2020 . 64 1425 - 1438 . DOI: 10.1122/8.0000050 http://doi.org/10.1122/8.0000050 .

Xiong, W.; Wang, X . Linear-nonlinear dichotomy of rheological responses in particle-filled polymer melts . J. Rheol. , 2018 . 62 171 - 181 . DOI: 10.1122/1.4999105 http://doi.org/10.1122/1.4999105 .

Wen, Q.; Basu, A.; Janmey, P. A.; Yodh, A. G . Non-affine deformations in polymer hydrogels . Soft Matter , 2012 . 8 8039 - 8049 . DOI: 10.1039/c2sm25364j http://doi.org/10.1039/c2sm25364j .

Raghavan, S. R.; Khan, S. A . Shear-induced microstructural changes in flocculated suspensions of fumed silica . J. Rheol. , 1995 . 39 1311 - 1325 . DOI: 10.1122/1.550638 http://doi.org/10.1122/1.550638 .

Song, Y.; Zeng, L.; Zheng, Q . Understanding the reinforcement and dissipation of natural rubber compounds filled with hybrid filler composed of carbon black and silica . Chinese J. Polym. Sci. , 2017 . 35 1436 - 1446 . DOI: 10.1007/s10118-017-1987-5 http://doi.org/10.1007/s10118-017-1987-5 .

Schwab, L.; Hojdis, N.; Lacayo, J.; Wilhelm, M . Fourier-transform rheology of unvulcanized, carbon black filled styrene butadiene rubber . Macromol. Mater. Eng. , 2016 . 301 457 - 468 . DOI: 10.1002/mame.201500356 http://doi.org/10.1002/mame.201500356 .

Fan, X.; Xu, H.; Zhang, Q.; Xiao, D.; Song, Y.; Zheng, Q . Insight into the weak strain overshoot of carbon black filled natural rubber . Polymer , 2019 . 167 109 - 117 . DOI: 10.1016/j.polymer.2019.01.076 http://doi.org/10.1016/j.polymer.2019.01.076 .

Song, Y.; Zeng, L.; Zheng, Q . Reconsideration of the rheology of silica filled natural rubber compounds . J. Phys. Chem. B , 2017 . 121 5867 - 5875 . DOI: 10.1021/acs.jpcb.7b02760 http://doi.org/10.1021/acs.jpcb.7b02760 .

Xu, H.; Xia, X.; Hussain, M.; Song, Y.; Zheng, Q . Linear and nonlinear rheological behaviors of silica filled nitrile butadiene rubber . Polymer , 2018 . 156 222 - 227 . DOI: 10.1016/j.polymer.2018.10.014 http://doi.org/10.1016/j.polymer.2018.10.014 .

Xu, H.; Fan, X.; Song, Y.; Zheng, Q . Reinforcement and Payne effect of hydrophobic silica filled natural rubber nanocomposites . Compos. Sci. Technol. , 2020 . 187 107943 DOI: 10.1016/j.compscitech.2019.107943 http://doi.org/10.1016/j.compscitech.2019.107943 .

Xu, Y.; Xu, H.; Zheng, Q.; Song, Y . Influence of ionic liquids on rheological behaviors of polyisoprene rubber/silica compounds . Polymer , 2019 . 183 121898 DOI: 10.1016/j.polymer.2019.121898 http://doi.org/10.1016/j.polymer.2019.121898 .

Song, Y.; Zeng, L.; Zheng, Q . Unique liquid-to-solid transition of carbon filler filled polystyrene melts . Compos. Sci. Technol. , 2017 . 147 39 - 44 . DOI: 10.1016/j.compscitech.2017.05.003 http://doi.org/10.1016/j.compscitech.2017.05.003 .

Erk, K. A.; Henderson, K. J.; Shull, K. R . Strain stiffening in synthetic and biopolymer networks . Biomacromolecules , 2010 . 11 1358 - 1363 . DOI: 10.1021/bm100136y http://doi.org/10.1021/bm100136y .

Hashemnejad, S. M.; Kundu, S . Nonlinear elasticity and cavitation of a triblock copolymer gel . Soft Matter , 2015 . 11 4315 - 4325 . .

Doi, M.; Edwards, S. F., In The theory of polymer dynamics , Oxford University Press, New York, 1988 .

Graessley, W. W . Viscosity of entangling polydisperse polymers . J. Chem. Phys. , 1967 . 47 1942 - 1953 . DOI: 10.1063/1.1712222 http://doi.org/10.1063/1.1712222 .

Ianniruberto, G.; Marrucci, G . Convective constraint release (CCR) revisited . J. Rheol. , 2014 . 58 89 - 102 . DOI: 10.1122/1.4843957 http://doi.org/10.1122/1.4843957 .

Mead, D.; Larson, R.; Doi, M. A molecular theory for fast flows of entangled polymers. Macromolecules 1998 , 31 , 7895-7914.

Colby, R . H.; Boris, D.; Krause, W.; Dou, S. Shear thinning of unentangled flexible polymer liquids . Rheol. Acta , 2007 . 46 569 - 575 . DOI: 10.1007/s00397-006-0142-y http://doi.org/10.1007/s00397-006-0142-y .

Subbotin, A.; Semenov, A.; Manias, E.; Hadziioannou, G.; Ten Brinke, G . Nonlinear rheology of polymer melts under shear flow . Macromolecules , 1995 . 28 3898 - 3900 . DOI: 10.1021/ma00115a021 http://doi.org/10.1021/ma00115a021 .

Subbotin, A.; Semenov, A.; Hadziioannou, G.; Ten Brinke, G . Nonlinear rheology of confined polymer melts under oscillatory flow . Macromolecules , 1996 . 29 1296 - 1304 . DOI: 10.1021/ma950764c http://doi.org/10.1021/ma950764c .

Semenov, A.; Subbotin, A.; Hadziioannou, G.; Ten Brinke, G.; Manias, E.; Doi, M . Nonlinear dynamics of melted polymer layers . Macromol. Symp. , 1997 . 121 175 - 186 . DOI: 10.1002/masy.19971210116 http://doi.org/10.1002/masy.19971210116 .

Sarvestani, A. S . Nonlinear rheology of unentangled polymer melts reinforced with high concentration of rigid nanoparticles . Nanoscale Res. Lett. , 2010 . 5 791 - 794 . DOI: 10.1007/s11671-010-9557-6 http://doi.org/10.1007/s11671-010-9557-6 .

Fatkullin, N.; Mattea, C.; Stapf, S . A simple scaling derivation of the shear thinning power-law exponent in entangled polymer melts . Polymer , 2011 . 52 3522 - 3525 . DOI: 10.1016/j.polymer.2011.06.009 http://doi.org/10.1016/j.polymer.2011.06.009 .

Sato, T.; Watanabe, H.; Osaki, K . Rheological and dielectric behavior of a styrene-isoprene-styrene triblock copolymer in n -tetradecane. 1. Rubbery-plastic-viscous transition . Macromolecules , 1996 . 29 6231 - 6239 . DOI: 10.1021/ma960060i http://doi.org/10.1021/ma960060i .

Watanabe, H.; Sato, T.; Osaki, K.; Yao, M.; Yamagishi, A. Rheological and dielectric behavior of a styrene-isoprene- styrene triblock copolymer in selective solvents. 2 . Contribution of loop-type middle blocks to elasticity and plasticity . Macromolecules , 1997 . 30 5877 - 5892 . DOI: 10.1021/ma9617577 http://doi.org/10.1021/ma9617577 .

Buzza, D.; Fzea, A.; Allgaier, J.; Young, R.; Hawkins, R.; Hamley, I.; McLeish, T.; Lodge, T . Linear melt rheology and small-angle X-ray scattering of AB diblocks vs A 2 B 2 four arm star block copolymers . Macromolecules , 2000 . 33 8399 - 8414 . DOI: 10.1021/ma000382t http://doi.org/10.1021/ma000382t .

Ryu, C.; Lee, M.; Hajduk, D.; Lodge, T . Structure and viscoelasticity of matched asymmetric diblock and triblock copolymers in the cylinder and sphere microstructures . J. Polym. Sci., Part B: Polym. Phys. , 1997 . 35 2811 - 2823 . .

Fredrickson, G. H.; Bates, F. S . Dynamics of block copolymers: theory and experiment . Annu. Rev. Mater. Sci. , 1996 . 26 501 - 550 . DOI: 10.1146/annurev.ms.26.080196.002441 http://doi.org/10.1146/annurev.ms.26.080196.002441 .

Almdal, K.; Mortensen, K.; Koppi, K. A.; Tirrell, M.; Bates, F. S . Isotropic and anisotropic composition fluctuations close to the order-to-disorder transition in an asymmetric diblock copolymer melt subjected to reciprocating shear fields . J. Phys. II , 1996 . 6 617 - 637 . .

Schweizer, T.; van Meerveld, J.; Öttinger, H. C . Nonlinear shear rheology of polystyrene melt with narrow molecular weight distribution-experiment and theory . J. Rheol. , 2004 . 48 1345 - 1363 . DOI: 10.1122/1.1803577 http://doi.org/10.1122/1.1803577 .

Fetters, L.; Lohse, D.; Colby, R., In Physical properties of polymers handbook ; Springer, New York, 2007 , p. 447−454.

Bishop, E.; Davison, S . Network characteristics of the thermoplastic elastomers . J. Polym. Sci., Part C: Polym. Symp. , 1969 . 26 59 - 79 . .

Kim, J. K.; Lee, H. H.; Gu, Q.-J.; Chang, T.; Jeong, Y. H . Determination of order-order and order-disorder transition temperatures of SIS block copolymers by differential scanning calorimetry and rheology . Macromolecules , 1998 . 31 4045 - 4048 . DOI: 10.1021/ma971879e http://doi.org/10.1021/ma971879e .

Hampu, N.; Hillmyer, M. A . Nanostructural rearrangement of lamellar block polymers cured in the vicinity of the order-disorder transition . Macromolecules , 2020 . 53 7691 - 7704 . DOI: 10.1021/acs.macromol.0c01424 http://doi.org/10.1021/acs.macromol.0c01424 .

Gehlsen, M. D.; Almdal, K.; Bates, F. S . Order-disorder transition: diblock versus triblock copolymers . Macromolecules , 1992 . 25 939 - 943 . DOI: 10.1021/ma00028a066 http://doi.org/10.1021/ma00028a066 .

Watanabe, H . Dielectric relaxation of type-A polymers in melts and solutions . Macromol. Rapid Commun. , 2001 . 22 127 - 175 . DOI: 10.1002/1521-3927(200102)22:3<127::AID-MARC127>3.0.CO;2-S http://doi.org/10.1002/1521-3927(200102)22:3<127::AID-MARC127>3.0.CO;2-S .

Vogel, H . The law of the relation between the viscosity of liquids and the temperature . Phys. Z , 1921 . 22 645 - 646 . .

Fulcher, G. S . Analysis of recent measurements of the viscosity of glasses . J. Am. Ceram. Soc. , 1925 . 8 339 - 355 . DOI: 10.1111/j.1151-2916.1925.tb16731.x http://doi.org/10.1111/j.1151-2916.1925.tb16731.x .

Tammann, G.; Hesse, W . Die abhängigkeit der viscosität von der temperatur bie unterkühlten flüssigkeiten . Z. Anorg. Allg. Chem. , 1926 . 156 245 - 257 . DOI: 10.1002/zaac.19261560121 http://doi.org/10.1002/zaac.19261560121 .

Adachi, K.; Kotaka, T . Dielectric normal mode relaxation of tethered polyisoprene chains in styrene-isoprene block copolymers . Pure Appl. Chem. , 1997 . 69 125 - 130 . DOI: 10.1351/pac199769010125 http://doi.org/10.1351/pac199769010125 .

Boese, D.; Kremer, F.; Fetters, L. J . Molecular dynamics in linear and multiarmed star polymers of cis -polyisoprene as studied by dielectric spectroscopy . Macromolecules , 1990 . 23 1826 - 1830 . DOI: 10.1021/ma00208a045 http://doi.org/10.1021/ma00208a045 .

Havriliak, S.; Negami, S . A complex plane analysis of α -dispersions in some polymer systems . J. Polym. Sci., Part C: Polym. Symp. , 1966 . 14 99 - 117 . .

Poh, B. T.; Adachi, K.; Kotaka, T. Solution-crosslinked networks. 3 . Dielectric normal mode process of guest polyisoprene in natural rubber networks . Macromolecules , 1987 . 20 2574 - 2579 . DOI: 10.1021/ma00176a043 http://doi.org/10.1021/ma00176a043 .

Watanabe, H.; Urakawa, O.; Yamada, H.; Yao, M.-L . Dielectric relaxation of cis -polyisoprene chains in oligo-and polybutadiene matrices: matrix effects on mode distribution and relaxation time . Macromolecules , 1996 . 29 755 - 763 . DOI: 10.1021/ma9507608 http://doi.org/10.1021/ma9507608 .

Adachi, K.; Kotaka, T . Dielectric normal mode process in undiluted cis -polyisoprene . Macromolecules , 1985 . 18 466 - 472 . DOI: 10.1021/ma00145a028 http://doi.org/10.1021/ma00145a028 .

Rosedale, J.; Bates, F . Rheology of ordered and disordered symmetric poly(ethylenepropylene)-poly(ethylethylene) diblock copolymers . Macromolecules , 1990 . 23 2329 - 2338 . DOI: 10.1021/ma00210a032 http://doi.org/10.1021/ma00210a032 .

Lodge, T.; Pan, C.; Jin, X.; Liu, Z.; Zhao, J.; Maurer, W.; Bates, F . Failure of the dilution approximation in block copolymer solutions . J. Polym. Sci., Part B: Polym. Phys. , 1995 . 33 2289 - 2293 . .

Alig, I.; Floudas, G.; Avgeropoulos, A.; Hadjichristidis, N . Junction point fluctuations in microphase separated polystyrene-polyisoprene-polystyrene triblock copolymer melts. A dielectric and rheological investigation . Macromolecules , 1997 . 30 5004 - 5011 . DOI: 10.1021/ma970101q http://doi.org/10.1021/ma970101q .

Laurer, J.; Khan, S.; Spontak, R.; Satkowski, M.; Grothaus, J.; Smith, S.; Lin, J . Morphology and rheology of SIS and SEPS triblock copolymers in the presence of a midblock-selective solvent . Langmuir , 1999 . 15 7947 - 7955 . DOI: 10.1021/la981441n http://doi.org/10.1021/la981441n .

Chen, Q.; Tudryn, G. J.; Colby, R. H . Ionomer dynamics and the sticky Rouse model . J. Rheol. , 2013 . 57 1441 - 1462 . DOI: 10.1122/1.4818868 http://doi.org/10.1122/1.4818868 .

Chen, Q.; Zhang, Z.; Colby, R. H . Viscoelasticity of entangled random polystyrene ionomers . J. Rheol. , 2016 . 60 1031 - 1040 . DOI: 10.1122/1.4955432 http://doi.org/10.1122/1.4955432 .

Sajkiewicz, P.; Phillips, P . Peroxide crosslinking of linear low-density polyethylenes with homogeneous distribution of short chain branching . J. Polym. Sci., Part A: Polym. Chem. , 1995 . 33 853 - 862 . DOI: 10.1002/pola.1995.080330512 http://doi.org/10.1002/pola.1995.080330512 .

Roth, L. E.; Agudelo, D. C.; Ressia, J. A.; Gómez, L. R.; Vallés, E. M.; Villar, M. A.; Vega, D. A . Viscoelastic response of linear defects trapped in polymer networks . Eur. Polym. J. , 2015 . 64 1 - 9 . .

Fan, X.; Wen, F.; Shi, X.; Yang, L.; Hussain, M.; Song, Y.; Zheng, Q . Roles played by novolac resin on rubber compounding, reinforcement and nonlinear rheological behaviors . Polymer , 2020 . 207 122895 DOI: 10.1016/j.polymer.2020.122895 http://doi.org/10.1016/j.polymer.2020.122895 .

Hyun, K.; Wilhelm, M.; Klein, C. O.; Cho, K. S.; Nam, J. G.; Ahn, K. H.; Lee, S. J.; Ewoldt, R. H.; McKinley, G. H . A review of nonlinear oscillatory shear tests: analysis and application of large amplitude oscillatory shear (LAOS) . Prog. Polym. Sci. , 2011 . 36 1697 - 1753 . DOI: 10.1016/j.progpolymsci.2011.02.002 http://doi.org/10.1016/j.progpolymsci.2011.02.002 .

Kannan, R. M.; Kornfield, J. A . Evolution of microstructure and viscoelasticity during flow alignment of a lamellar diblock copolymer . Macromolecules , 1994 . 27 1177 - 1186 . DOI: 10.1021/ma00083a016 http://doi.org/10.1021/ma00083a016 .

Ohta, T.; Enomoto, Y.; Harden, J. L.; Doi, M. Anomalous rheological behavior of ordered phases of block copolymers. 1. Macromolecules 1993 , 26 , 4928-4934.

Riise, B. L.; Fredrickson, G. H.; Larson, R. G.; Pearson, D. S . Rheology and shear-induced alignment of lamellar diblock and triblock copolymers . Macromolecules , 1995 . 28 7653 - 7659 . DOI: 10.1021/ma00127a010 http://doi.org/10.1021/ma00127a010 .

Hamley, I. W., In The physics of block copolymers , Oxford University Press, New York, 1998 .

Koppi, K. A.; Tirrell, M.; Bates, F . S.; Almdal, K.; Mortensen, K. Epitaxial growth and shearing of the body centered cubic phase in diblock copolymer melts . J. Rheol. , 1994 . 38 999 - 1027 . DOI: 10.1122/1.550600 http://doi.org/10.1122/1.550600 .

Papon, A.; Merabia, S.; Guy, L.; Lequeux, F.; Montes, H.; Sotta, P.; Long, D. R . Unique nonlinear behavior of nano-filled elastomers: from the onset of strain softening to large amplitude shear deformations . Macromolecules , 2012 . 45 2891 - 2904 . DOI: 10.1021/ma202278e http://doi.org/10.1021/ma202278e .

Likhtman, A. E.; McLeish, T. C . Quantitative theory for linear dynamics of linear entangled polymers . Macromolecules , 2002 . 35 6332 - 6343 . DOI: 10.1021/ma0200219 http://doi.org/10.1021/ma0200219 .

Liu, C.; He, J.; Van Ruymbeke, E.; Keunings, R.; Bailly, C . Evaluation of different methods for the determination of the plateau modulus and the entanglement molecular weight . Polymer , 2006 . 47 4461 - 4479 . DOI: 10.1016/j.polymer.2006.04.054 http://doi.org/10.1016/j.polymer.2006.04.054 .

Song, Y.; Zheng, Q . A guide for hydrodynamic reinforcement effect in nanoparticle-filled polymers . Crit. Rev. Solid State Mater. Sci. , 2016 . 41 318 - 346 . DOI: 10.1080/10408436.2015.1135415 http://doi.org/10.1080/10408436.2015.1135415 .

Song, Y.; Zheng, Q . Concepts and conflicts in nanoparticles reinforcement to polymers beyond hydrodynamics . Prog. Mater. Sci. , 2016 . 84 1 - 58 . DOI: 10.1016/j.pmatsci.2016.09.002 http://doi.org/10.1016/j.pmatsci.2016.09.002 .

Chen, H.; Ding, Y.; Tan, C . Rheological behaviour of nanofluids . New J. Phys. , 2007 . 9 367 DOI: 10.1088/1367-2630/9/10/367 http://doi.org/10.1088/1367-2630/9/10/367 .

Schwartz, G. A.; Cerveny, S.; Marzocca, Á. J.; Gerspacher, M.; Nikiel, L. Thermal aging of carbon black filled rubber compounds. I . Experimental evidence for bridging flocculation . Polymer , 2003 . 44 7229 - 7240 . DOI: 10.1016/j.polymer.2003.09.007 http://doi.org/10.1016/j.polymer.2003.09.007 .

You, W.; Yu, W . Slow linear viscoelastic relaxation of polymer nanocomposites: contribution from confined diffusion of nanoparticles . Macromolecules , 2019 . 52 9094 - 9104 . DOI: 10.1021/acs.macromol.9b01538 http://doi.org/10.1021/acs.macromol.9b01538 .

Ding, Y.; Pawlus, S.; Sokolov, A. P.; Douglas, J. F.; Karim, A.; Soles, C. L . Dielectric spectroscopy investigation of relaxation in C 60 -polyisoprene nanocomposites . Macromolecules , 2009 . 42 3201 - 3206 . DOI: 10.1021/ma8024333 http://doi.org/10.1021/ma8024333 .

Cai, L . H.; Panyukov, S.; Rubinstein, M. Hopping diffusion of nanoparticles in polymer matrices . Macromolecules , 2015 . 48 847 - 862 . DOI: 10.1021/ma501608x http://doi.org/10.1021/ma501608x .

Domurath, J.; Saphiannikova, M.; Ausias, G.; Heinrich, G . Modelling of stress and strain amplification effects in filled polymer melts . J. Non-Newton. Fluid Mech. , 2012 . 171 8 - 16 . .

Baig, C.; Mavrantzas, V. G.; Kroger, M . Flow effects on melt structure and entanglement network of linear polymers: results from a nonequilibrium molecular dynamics simulation study of a polyethylene melt in steady shear . Macromolecules , 2010 . 43 6886 - 6902 . DOI: 10.1021/ma100826u http://doi.org/10.1021/ma100826u .

Chappa, V. C.; Morse, D . C.; Zippelius, A.; Müller, M. Translationally invariant slip-spring model for entangled polymer dynamics . Phys. Rev. Lett. , 2012 . 109 148302 DOI: 10.1103/PhysRevLett.109.148302 http://doi.org/10.1103/PhysRevLett.109.148302 .

Pincus, P . Excluded volume effects and stretched polymer chains . Macromolecules , 1976 . 9 386 - 388 . DOI: 10.1021/ma60051a002 http://doi.org/10.1021/ma60051a002 .

Rubinstein, M.; Colby, R. H., In Polymer physics , Oxford University Press, New York, 2003 .

Rubinstein, M.; Panyukov, S . Nonaffine deformation and elasticity of polymer networks . Macromolecules , 1997 . 30 8036 - 8044 . DOI: 10.1021/ma970364k http://doi.org/10.1021/ma970364k .

Zhong, X.; Song, Y.; Zheng, Q.; Wang, W . Influence of coagents on Payne effect of butadiene rubber vulcanizates . Polymer , 2021 . 212 123298 DOI: 10.1016/j.polymer.2020.123298 http://doi.org/10.1016/j.polymer.2020.123298 .

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