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Published in: Rheologica Acta 11-12/2012

01-12-2012 | Original Contribution

Relationships between linear and nonlinear shear response of polymer nano-composites

Authors: Hojjat Mahi Hassanabadi, Denis Rodrigue

Published in: Rheologica Acta | Issue 11-12/2012

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Abstract

Rheological analysis was used to understand the structure–property relations of polymer nano-composites based on ethylene vinyl acetate. Two geometrically different nano-particles (sphere of CaCO3 and platelet of montmorillonite) having the same energetic attractions with ethylene vinyl acetate were studied for concentrations between 2.5 and 15 wt%. Three phenomena were studied: the appearance of a solid-like behavior in the linear viscoelastic domain, the limits of linear viscoelasticity, and the presence of stress overshoot in step shear tests. In particular, stress overshoot was investigated based on the tube concept of polymeric chains. Also, differences related to nano-particle geometry (platelet vs. spherical) were investigated based on a filler-network mechanism. Due to higher physical contacting probability, platelet particles can better interact and create a network structure, which dominates the rheological response. On the other hand, although spherical particles can limit the motion of polymeric chains under flow, a strong physical network was not formed. For platelets, scaling behavior was well described by fractal model which considers direct aggregation, and such scaling was not observed for spherical particles. The filler-network mechanism was validated by image analysis.

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Appendix
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Literature
go back to reference Akcora P, Kumar SK, Garciía Sakai V, Li Y, Benicewicz BC, Schadler LS (2010) Segmental dynamics in PMMA-grafted nanoparticle composites. Macromolecules 43:8275–8281CrossRef Akcora P, Kumar SK, Garciía Sakai V, Li Y, Benicewicz BC, Schadler LS (2010) Segmental dynamics in PMMA-grafted nanoparticle composites. Macromolecules 43:8275–8281CrossRef
go back to reference Akcora P, Kumar SK, Moll J, Lewis S, Schadler LS, Li Y, Benicewicz BC, Sandy A, Narayanan S, Ilavsky J, Thiyagarajan P, Colby RH, Douglas JF (2009) “Gel-like” mechanical reinforcement in polymer nanocomposite melts. Macromolecules 43:1003–1010CrossRef Akcora P, Kumar SK, Moll J, Lewis S, Schadler LS, Li Y, Benicewicz BC, Sandy A, Narayanan S, Ilavsky J, Thiyagarajan P, Colby RH, Douglas JF (2009) “Gel-like” mechanical reinforcement in polymer nanocomposite melts. Macromolecules 43:1003–1010CrossRef
go back to reference Anderson BJ, Zukoski CF (2009) Rheology and microstructure of entangled polymer nanocomposite melts. Macromolecules 42:8370–8384CrossRef Anderson BJ, Zukoski CF (2009) Rheology and microstructure of entangled polymer nanocomposite melts. Macromolecules 42:8370–8384CrossRef
go back to reference Anderson BJ, Zukoski CF (2010) Rheology and microstructure of polymer nanocomposite melts: variation of polymer segment-surface interaction. Langmuir 26:8709–8720CrossRef Anderson BJ, Zukoski CF (2010) Rheology and microstructure of polymer nanocomposite melts: variation of polymer segment-surface interaction. Langmuir 26:8709–8720CrossRef
go back to reference Bogoslovov RB, Roland CM, Ellis AR, Randall AM, Robertson CG (2008) Effect of silica nanoparticles on the local segmental dynamics in poly(vinyl acetate). Macromolecules 41:1289–1296CrossRef Bogoslovov RB, Roland CM, Ellis AR, Randall AM, Robertson CG (2008) Effect of silica nanoparticles on the local segmental dynamics in poly(vinyl acetate). Macromolecules 41:1289–1296CrossRef
go back to reference Cassagnau P (2003) Payne effect and shear elasticity of silica-filled polymers in concentrated solutions and in molten state. Polymer 44:2455–2462CrossRef Cassagnau P (2003) Payne effect and shear elasticity of silica-filled polymers in concentrated solutions and in molten state. Polymer 44:2455–2462CrossRef
go back to reference Cassagnau P (2008) Melt rheology of organoclay and fumed silica nanocomposites. Polymer 49:2183–2196CrossRef Cassagnau P (2008) Melt rheology of organoclay and fumed silica nanocomposites. Polymer 49:2183–2196CrossRef
go back to reference Chatterjee T, Krishnamoorti R (2008) Steady shear response of carbon nanotube networks dispersed in poly(ethylene oxide). Macromolecules 41:5333–5338CrossRef Chatterjee T, Krishnamoorti R (2008) Steady shear response of carbon nanotube networks dispersed in poly(ethylene oxide). Macromolecules 41:5333–5338CrossRef
go back to reference Chen B, Evans JRG (2006) Nominal and effective volume fractions in polymer–clay nanocomposites. Macromolecules 39:1790–1796CrossRef Chen B, Evans JRG (2006) Nominal and effective volume fractions in polymer–clay nanocomposites. Macromolecules 39:1790–1796CrossRef
go back to reference Chen DTN, Chen K, Hough LA, Islam MF, Yodh AG (2010) Rheology of carbon nanotube networks during gelation. Macromolecules 43:2048–2053CrossRef Chen DTN, Chen K, Hough LA, Islam MF, Yodh AG (2010) Rheology of carbon nanotube networks during gelation. Macromolecules 43:2048–2053CrossRef
go back to reference Chevigny C, Dalmas F, Di Cola E, Gigmes D, Bertin D, Boué Fo, Jestin J (2010) Polymer-grafted-nanoparticles nanocomposites: dispersion, grafted chain conformation, and rheological behavior. Macromolecules 44:122–133CrossRef Chevigny C, Dalmas F, Di Cola E, Gigmes D, Bertin D, Boué Fo, Jestin J (2010) Polymer-grafted-nanoparticles nanocomposites: dispersion, grafted chain conformation, and rheological behavior. Macromolecules 44:122–133CrossRef
go back to reference Ci L, Suhr J, Pushparaj V, Zhang X, Ajayan PM (2008) Continuous carbon nanotube reinforced composites. Nano Lett 8:2762–2766CrossRef Ci L, Suhr J, Pushparaj V, Zhang X, Ajayan PM (2008) Continuous carbon nanotube reinforced composites. Nano Lett 8:2762–2766CrossRef
go back to reference Doi M, Edwards SF (1989) The theory of polymer dynamics. Clarendon, New York Doi M, Edwards SF (1989) The theory of polymer dynamics. Clarendon, New York
go back to reference Du F, Scogna RC, Zhou W, Brand S, Fischer JE, Winey KI (2004) Nanotube networks in polymer nanocomposites: rheology and electrical conductivity. Macromolecules 37:9048–9055CrossRef Du F, Scogna RC, Zhou W, Brand S, Fischer JE, Winey KI (2004) Nanotube networks in polymer nanocomposites: rheology and electrical conductivity. Macromolecules 37:9048–9055CrossRef
go back to reference Durmus A, Kasgoz A, Macosko CW (2007) Linear low density polyethylene (LLDPE)/clay nanocomposites. Part I: structural characterization and quantifying clay dispersion by melt rheology. Polymer 48:4492–4502CrossRef Durmus A, Kasgoz A, Macosko CW (2007) Linear low density polyethylene (LLDPE)/clay nanocomposites. Part I: structural characterization and quantifying clay dispersion by melt rheology. Polymer 48:4492–4502CrossRef
go back to reference Dykes LMC, Torkelson JM, Burghardt WR (2012) Shear-induced orientation in well-exfoliated polystyrene/clay nanocomposites. Macromolecules 45:1622–1630CrossRef Dykes LMC, Torkelson JM, Burghardt WR (2012) Shear-induced orientation in well-exfoliated polystyrene/clay nanocomposites. Macromolecules 45:1622–1630CrossRef
go back to reference Galgali G, Ramesh C, Lele A (2001) A rheological study on the kinetics of hybrid formation in polypropylene nanocomposites. Macromolecules 34:852–858CrossRef Galgali G, Ramesh C, Lele A (2001) A rheological study on the kinetics of hybrid formation in polypropylene nanocomposites. Macromolecules 34:852–858CrossRef
go back to reference Goel V, Chatterjee T, Bombalski L, Yurekli K, Matyjaszewski K, Krishnamoorti R (2006) Viscoelastic properties of silica-grafted poly(styrene–acrylonitrile) nanocomposites. J Polym Sci, Part B, Polym Phys 44:2014–2023CrossRef Goel V, Chatterjee T, Bombalski L, Yurekli K, Matyjaszewski K, Krishnamoorti R (2006) Viscoelastic properties of silica-grafted poly(styrene–acrylonitrile) nanocomposites. J Polym Sci, Part B, Polym Phys 44:2014–2023CrossRef
go back to reference Groot RD, Agterof WGM (1995) Dynamic viscoelastic modulus of associative polymer networks: off-lattice simulations, theory and comparison to experiments. Macromolecules 28:6284–6295CrossRef Groot RD, Agterof WGM (1995) Dynamic viscoelastic modulus of associative polymer networks: off-lattice simulations, theory and comparison to experiments. Macromolecules 28:6284–6295CrossRef
go back to reference Harton SE, Kumar SK, Yang H, Koga T, Hicks K, Lee H, Mijovic J, Liu M, Vallery RS, Gidley DW (2010) Immobilized polymer layers on spherical nanoparticles. Macromolecules 43:3415–3421CrossRef Harton SE, Kumar SK, Yang H, Koga T, Hicks K, Lee H, Mijovic J, Liu M, Vallery RS, Gidley DW (2010) Immobilized polymer layers on spherical nanoparticles. Macromolecules 43:3415–3421CrossRef
go back to reference Heinrich G, Klüppel M (2002) Recent advances in the theory of filler networking in elastomers. In: Arora M (ed) Filled elastomers drug delivery systems. Springer, Berlin, pp 1–44CrossRef Heinrich G, Klüppel M (2002) Recent advances in the theory of filler networking in elastomers. In: Arora M (ed) Filled elastomers drug delivery systems. Springer, Berlin, pp 1–44CrossRef
go back to reference Inoue T, Uematsu T, Yamashita Y, Osaki K (2002a) Significance of the longest rouse relaxation time in the stress relaxation process at large deformation of entangled polymer solutions. Macromolecules 35:4718–4724CrossRef Inoue T, Uematsu T, Yamashita Y, Osaki K (2002a) Significance of the longest rouse relaxation time in the stress relaxation process at large deformation of entangled polymer solutions. Macromolecules 35:4718–4724CrossRef
go back to reference Inoue T, Yamashita Y, Osaki K (2002b) Viscoelasticity of an entangled polymer solution with special attention on a characteristic time for nonlinear behavior. Macromolecules 35:1770–1775CrossRef Inoue T, Yamashita Y, Osaki K (2002b) Viscoelasticity of an entangled polymer solution with special attention on a characteristic time for nonlinear behavior. Macromolecules 35:1770–1775CrossRef
go back to reference Isichenko MB (1992) Percolation, statistical topography, and transport in random media. Rev Mod Phys 64:961–1043CrossRef Isichenko MB (1992) Percolation, statistical topography, and transport in random media. Rev Mod Phys 64:961–1043CrossRef
go back to reference Jancar J, Douglas JF, Starr FW, Kumar SK, Cassagnau P, Lesser AJ, Sternstein SS, Buehler MJ (2010) Current issues in research on structure–property relationships in polymer nanocomposites. Polymer 51:3321–3343CrossRef Jancar J, Douglas JF, Starr FW, Kumar SK, Cassagnau P, Lesser AJ, Sternstein SS, Buehler MJ (2010) Current issues in research on structure–property relationships in polymer nanocomposites. Polymer 51:3321–3343CrossRef
go back to reference Jouault N, Vallat P, Dalmas F, Said Sr, Jestin J, Bouè Fo (2009) Well-dispersed fractal aggregates as filler in polymer-silica nanocomposites: long-range effects in rheology. Macromolecules 42:2031–2040CrossRef Jouault N, Vallat P, Dalmas F, Said Sr, Jestin J, Bouè Fo (2009) Well-dispersed fractal aggregates as filler in polymer-silica nanocomposites: long-range effects in rheology. Macromolecules 42:2031–2040CrossRef
go back to reference Kalfus J, Jancar J (2007) Immobilization of polyvinylacetate macromolecules on hydroxyapatite nanoparticles. Polymer 48:3935–3937CrossRef Kalfus J, Jancar J (2007) Immobilization of polyvinylacetate macromolecules on hydroxyapatite nanoparticles. Polymer 48:3935–3937CrossRef
go back to reference Kalfus J, Jancar J (2008) Reinforcing mechanisms in amorphous polymer nano-composites. Compos Sci Technol 68:3444–3447CrossRef Kalfus J, Jancar J (2008) Reinforcing mechanisms in amorphous polymer nano-composites. Compos Sci Technol 68:3444–3447CrossRef
go back to reference Koo JH (2006) Polymer nanocomposites—processing, characterization, and applications. McGraw-Hill, New York Koo JH (2006) Polymer nanocomposites—processing, characterization, and applications. McGraw-Hill, New York
go back to reference Krishnamoorti R, Giannelis EP (1997) Rheology of end-tethered polymer layered silicate nanocomposites. Macromolecules 30:4097–4102CrossRef Krishnamoorti R, Giannelis EP (1997) Rheology of end-tethered polymer layered silicate nanocomposites. Macromolecules 30:4097–4102CrossRef
go back to reference Krishnamoorti R, Yurekli K (2001) Rheology of polymer layered silicate nanocomposites. Curr Opin Colloid Interface Sci 6:464–470CrossRef Krishnamoorti R, Yurekli K (2001) Rheology of polymer layered silicate nanocomposites. Curr Opin Colloid Interface Sci 6:464–470CrossRef
go back to reference Lee KM, Han CD (2003) Rheology of organoclay nanocomposites: effects of polymer matrix/organoclay compatibility and the gallery distance of organoclay. Macromolecules 36:7165–7178CrossRef Lee KM, Han CD (2003) Rheology of organoclay nanocomposites: effects of polymer matrix/organoclay compatibility and the gallery distance of organoclay. Macromolecules 36:7165–7178CrossRef
go back to reference Letwimolnun W, Vergnes B, Ausias G, Carreau PJ (2007) Stress overshoots of organoclay nanocomposites in transient shear flow. J Non-Newton Fluid Mech 141:167–179CrossRef Letwimolnun W, Vergnes B, Ausias G, Carreau PJ (2007) Stress overshoots of organoclay nanocomposites in transient shear flow. J Non-Newton Fluid Mech 141:167–179CrossRef
go back to reference Lin CW, Huang LC, Ma CCM, Yang ACM, Lin CJ, Lin LJ (2008) Nanoplastic flows of glassy polymer chains interacting with multiwalled carbon nanotubes in nanocomposites. Macromolecules 41:4978–4988CrossRef Lin CW, Huang LC, Ma CCM, Yang ACM, Lin CJ, Lin LJ (2008) Nanoplastic flows of glassy polymer chains interacting with multiwalled carbon nanotubes in nanocomposites. Macromolecules 41:4978–4988CrossRef
go back to reference Litvinov VM, Spiess HW (1991) 2H NMR study of molecular motions in polydimethylsiloxane and its mixtures with aerosils. Makromol Chem 192:3005–3019CrossRef Litvinov VM, Spiess HW (1991) 2H NMR study of molecular motions in polydimethylsiloxane and its mixtures with aerosils. Makromol Chem 192:3005–3019CrossRef
go back to reference Mahi H, Rodrigue D (2012) Linear and non-linear viscoelastic properties of ethylene vinyl acetate/nano-crystalline cellulose composites. Rheol Acta 51:127–142CrossRef Mahi H, Rodrigue D (2012) Linear and non-linear viscoelastic properties of ethylene vinyl acetate/nano-crystalline cellulose composites. Rheol Acta 51:127–142CrossRef
go back to reference Manitiu M, Horsch S, Gulari E, Kannan RM (2009) Role of polymer-clay interactions and nano-clay dispersion on the viscoelastic response of supercritical CO2 dispersed polyvinylmethylether (PVME)-clay nanocomposites. Polymer 50:3786–3796CrossRef Manitiu M, Horsch S, Gulari E, Kannan RM (2009) Role of polymer-clay interactions and nano-clay dispersion on the viscoelastic response of supercritical CO2 dispersed polyvinylmethylether (PVME)-clay nanocomposites. Polymer 50:3786–3796CrossRef
go back to reference Mansoutre S, Colombet P, Van Damme H (1999) Water retention and granular rheological behavior of fresh C3S paste as a function of concentration. Cement Concrete Rec 29:1441–1453CrossRef Mansoutre S, Colombet P, Van Damme H (1999) Water retention and granular rheological behavior of fresh C3S paste as a function of concentration. Cement Concrete Rec 29:1441–1453CrossRef
go back to reference Mobuchon C, Carreau P, Heuzey M-C (2007) Effect of flow history on the structure of a non-polar polymer/clay nanocomposite model system. Rheol Acta 46:1045–1056CrossRef Mobuchon C, Carreau P, Heuzey M-C (2007) Effect of flow history on the structure of a non-polar polymer/clay nanocomposite model system. Rheol Acta 46:1045–1056CrossRef
go back to reference Mohraz A, Solomon MJ (2005) Orientation and rupture of fractal colloidal gels during start-up of steady shear flow. J Rheol 49:657–681CrossRef Mohraz A, Solomon MJ (2005) Orientation and rupture of fractal colloidal gels during start-up of steady shear flow. J Rheol 49:657–681CrossRef
go back to reference Mu M, Winey KI (2007) Improved load transfer in nanotube/polymer composites with increased polymer molecular weight. J Phys Chem C 111:17923–17927CrossRef Mu M, Winey KI (2007) Improved load transfer in nanotube/polymer composites with increased polymer molecular weight. J Phys Chem C 111:17923–17927CrossRef
go back to reference Muthukumar M (1989) Screening effect on viscoelasticity near the gel point. Macromolecules 22:4656–4658CrossRef Muthukumar M (1989) Screening effect on viscoelasticity near the gel point. Macromolecules 22:4656–4658CrossRef
go back to reference Nagase Y, Okada K (1986) Heterogeneous behavior after yielding of solid suspensions. J Rheol 30:1123–1142CrossRef Nagase Y, Okada K (1986) Heterogeneous behavior after yielding of solid suspensions. J Rheol 30:1123–1142CrossRef
go back to reference Nusser K, Schneider GJ, Richter D (2011) Microscopic origin of the terminal relaxation time in polymer nanocomposites: an experimental precedent. Soft Matter 7:7988–7991CrossRef Nusser K, Schneider GJ, Richter D (2011) Microscopic origin of the terminal relaxation time in polymer nanocomposites: an experimental precedent. Soft Matter 7:7988–7991CrossRef
go back to reference Osaki K, Inoue T, Uematsu T, Yamashita Y (2001) Evaluation methods of the longest Rouse relaxation time of an entangled polymer in a semidilute solution. J Polym Sci, Part B, Polym Phys 39:1704–1712CrossRef Osaki K, Inoue T, Uematsu T, Yamashita Y (2001) Evaluation methods of the longest Rouse relaxation time of an entangled polymer in a semidilute solution. J Polym Sci, Part B, Polym Phys 39:1704–1712CrossRef
go back to reference Paul DR, Robeson LM (2008) Polymer nanotechnology: nanocomposites. Polymer 49:3187–3204CrossRef Paul DR, Robeson LM (2008) Polymer nanotechnology: nanocomposites. Polymer 49:3187–3204CrossRef
go back to reference Pearson D, Herbolzheimer E, Grizzuti N, Marrucci G (1991) Transient behavior of entangled polymers at high shear rates. J Polym Sci, Part B, Polym Phys 29:1589–1597CrossRef Pearson D, Herbolzheimer E, Grizzuti N, Marrucci G (1991) Transient behavior of entangled polymers at high shear rates. J Polym Sci, Part B, Polym Phys 29:1589–1597CrossRef
go back to reference Prince E, Rouse J (1953) A theory of the linear viscoelastic properties of dilute solutions of coiling polymers. J Chem Phys 21:1272–1280CrossRef Prince E, Rouse J (1953) A theory of the linear viscoelastic properties of dilute solutions of coiling polymers. J Chem Phys 21:1272–1280CrossRef
go back to reference Pujari S, Rahatekar SS, Gilman JW, Koziol KK, Windle AH, Burghardt WR (2009) Orientation dynamics in multiwalled carbon nanotube dispersions under shear flow. J Chem Phys 130:214903CrossRef Pujari S, Rahatekar SS, Gilman JW, Koziol KK, Windle AH, Burghardt WR (2009) Orientation dynamics in multiwalled carbon nanotube dispersions under shear flow. J Chem Phys 130:214903CrossRef
go back to reference Ren J, Silva AS, Krishnamoorti R (2000) Linear viscoelasticity of disordered polystyrene-polyisoprene block copolymer based layered-silicate nanocomposites. Macromolecules 33:3739–3746CrossRef Ren J, Silva AS, Krishnamoorti R (2000) Linear viscoelasticity of disordered polystyrene-polyisoprene block copolymer based layered-silicate nanocomposites. Macromolecules 33:3739–3746CrossRef
go back to reference Ren J, Krishnamoorti R (2003) Nonlinear viscoelastic properties of layered-silicate-based intercalated nanocomposites. Macromolecules 36:4443–4451CrossRef Ren J, Krishnamoorti R (2003) Nonlinear viscoelastic properties of layered-silicate-based intercalated nanocomposites. Macromolecules 36:4443–4451CrossRef
go back to reference Robertson CG, Roland CM (2008) Glass transition and interfacial segmental dynamics in polymer-particle composites. Rubber Chem Technol 81:506–522CrossRef Robertson CG, Roland CM (2008) Glass transition and interfacial segmental dynamics in polymer-particle composites. Rubber Chem Technol 81:506–522CrossRef
go back to reference Rueb CJ, Zukoski CF (1997) Viscoelastic properties of colloidal gels. J Rheol 41:197–218CrossRef Rueb CJ, Zukoski CF (1997) Viscoelastic properties of colloidal gels. J Rheol 41:197–218CrossRef
go back to reference Sarvestani AS (2008) Modeling the solid-like behavior of entangled polymer nanocomposites at low frequency regimes. Eur Polym J 44:263–269CrossRef Sarvestani AS (2008) Modeling the solid-like behavior of entangled polymer nanocomposites at low frequency regimes. Eur Polym J 44:263–269CrossRef
go back to reference Shih W-H, Shih WY, Kim S-I, Liu J, Aksay IA (1990) Scaling behavior of the elastic properties of colloidal gels. Phys Rev A 42:4772–4779CrossRef Shih W-H, Shih WY, Kim S-I, Liu J, Aksay IA (1990) Scaling behavior of the elastic properties of colloidal gels. Phys Rev A 42:4772–4779CrossRef
go back to reference Solomon MJ, Almusallam AS, Seefeldt KF, Somwangthanaroj A, Varadan P (2001) Rheology of polypropylene/clay hybrid materials. Macromolecules 34:1864–1872CrossRef Solomon MJ, Almusallam AS, Seefeldt KF, Somwangthanaroj A, Varadan P (2001) Rheology of polypropylene/clay hybrid materials. Macromolecules 34:1864–1872CrossRef
go back to reference Song Y, Zheng Q (2010) Linear viscoelasticity of polymer melts filled with nano-sized fillers. Polymer 51:3262–3268CrossRef Song Y, Zheng Q (2010) Linear viscoelasticity of polymer melts filled with nano-sized fillers. Polymer 51:3262–3268CrossRef
go back to reference Sternstein SS, Zhu A-J (2002) Reinforcement mechanism of nanofilled polymer melts as elucidated by nonlinear viscoelastic behavior. Macromolecules 35:7262–7273CrossRef Sternstein SS, Zhu A-J (2002) Reinforcement mechanism of nanofilled polymer melts as elucidated by nonlinear viscoelastic behavior. Macromolecules 35:7262–7273CrossRef
go back to reference Utracki LA, Sepehr M, Carreau PJ (2010) Rheology of polymers with nanofillers. In: Utracki LA, Jamieson AM (eds) Polymer physics: from suspensions to nanocomposites and beyond. Wiley, Hoboken, pp 639–708CrossRef Utracki LA, Sepehr M, Carreau PJ (2010) Rheology of polymers with nanofillers. In: Utracki LA, Jamieson AM (eds) Polymer physics: from suspensions to nanocomposites and beyond. Wiley, Hoboken, pp 639–708CrossRef
go back to reference Vermant J, Ceccia S, Dolgovskij MK, Maffettone PL, Macosko CW (2007) Quantifying dispersion of layered nanocomposites via melt rheology. J Rheol 51:429–450CrossRef Vermant J, Ceccia S, Dolgovskij MK, Maffettone PL, Macosko CW (2007) Quantifying dispersion of layered nanocomposites via melt rheology. J Rheol 51:429–450CrossRef
go back to reference Whittle M, Dickinson E (1997) Stress overshoot in a model particle gel. J Chem Phys 107:10191–10200CrossRef Whittle M, Dickinson E (1997) Stress overshoot in a model particle gel. J Chem Phys 107:10191–10200CrossRef
go back to reference Winter HH, Chambon F (1986) Analysis of linear viscoelasticity of a crosslinking polymer at the gel point. J Rheol 30:367–382CrossRef Winter HH, Chambon F (1986) Analysis of linear viscoelasticity of a crosslinking polymer at the gel point. J Rheol 30:367–382CrossRef
go back to reference Yziquel F, Carreau PJ, Tanguy PA (1999) Non-linear viscoelastic behavior of fumed silica suspensions. Rheol Acta 38:14–25CrossRef Yziquel F, Carreau PJ, Tanguy PA (1999) Non-linear viscoelastic behavior of fumed silica suspensions. Rheol Acta 38:14–25CrossRef
go back to reference Zhang Q, Archer LA (2002) Poly(ethylene oxide)/silica nanocomposites: structure and rheology. Langmuir 18:10435–10442CrossRef Zhang Q, Archer LA (2002) Poly(ethylene oxide)/silica nanocomposites: structure and rheology. Langmuir 18:10435–10442CrossRef
go back to reference Zheng X, Xu Q (2010) Comparison study of morphology and crystallization behavior of polyethylene and poly(ethylene oxide) on single-walled carbon nanotubes. J Phys Chem 114:9435–9444CrossRef Zheng X, Xu Q (2010) Comparison study of morphology and crystallization behavior of polyethylene and poly(ethylene oxide) on single-walled carbon nanotubes. J Phys Chem 114:9435–9444CrossRef
go back to reference Zhu Z, Thompson T, Wang S-Q, von Meerwall ED, Halasa A (2005) Investigating linear and nonlinear viscoelastic behavior using model silica-particle-filled polybutadiene. Macromolecules 38:8816–8824CrossRef Zhu Z, Thompson T, Wang S-Q, von Meerwall ED, Halasa A (2005) Investigating linear and nonlinear viscoelastic behavior using model silica-particle-filled polybutadiene. Macromolecules 38:8816–8824CrossRef
Metadata
Title
Relationships between linear and nonlinear shear response of polymer nano-composites
Authors
Hojjat Mahi Hassanabadi
Denis Rodrigue
Publication date
01-12-2012
Publisher
Springer-Verlag
Published in
Rheologica Acta / Issue 11-12/2012
Print ISSN: 0035-4511
Electronic ISSN: 1435-1528
DOI
https://doi.org/10.1007/s00397-012-0655-5

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