Skip to main content
Top
Published in: Rheologica Acta 9-10/2011

01-10-2011 | Original Contribution

Scaling behavior of the elastic properties of non-dilute MWCNT–epoxy suspensions

Authors: Fatemeh Khalkhal, Pierre J. Carreau

Published in: Rheologica Acta | Issue 9-10/2011

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this paper, the network structure of multiwalled carbon nanotube (MWCNT)–epoxy suspensions was investigated under the influence of flow history and temperature using the scaling behavior of the linear viscoelastic properties of the concentrated suspensions above their gel point. It is shown that the suspensions have a self-similar fractal structure with the dimension of about 2.15, characteristic of weakly flocculating suspensions and their elasticity originates from inter- and intra-floc links of nanotubes. From the scaling behavior of the flow-induced storage modulus and the critical strain for the limit of linearity, it is shown that the fractal dimension and so the superstructure of the network did not change significantly under the influence of the flow history due to the initial compact structure of the network before pre-shearing. The time–temperature superposition principle was verified for the CNT suspensions and the shift factor was accounted for by an Arrhenius equation. The reduced storage and loss moduli of the suspensions using the complex modulus of the neat epoxy were shown to increase with temperature revealing more inter-particle interactions as the temperature was raised. However, it was impossible to conclude on the changes of the fractal dimensions with temperature.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Literature
go back to reference Abbasi S, Carreau PJ, Derdouri A, Moan M (2009) Rheological properties and percolation in suspensions of multiwalled carbon nanotubes in polycarbonate. Rheol Acta 48(9):943–959CrossRef Abbasi S, Carreau PJ, Derdouri A, Moan M (2009) Rheological properties and percolation in suspensions of multiwalled carbon nanotubes in polycarbonate. Rheol Acta 48(9):943–959CrossRef
go back to reference Buscall R, McGowan IJ, Mills PDA, Stewart RF, Sutton D, White LR, Yates GE (1987) Rheology of strongly-flocculated suspensions. J Non-Newton Fluid Mech 24(2):183–202CrossRef Buscall R, McGowan IJ, Mills PDA, Stewart RF, Sutton D, White LR, Yates GE (1987) Rheology of strongly-flocculated suspensions. J Non-Newton Fluid Mech 24(2):183–202CrossRef
go back to reference Chatterjee T, Krishnamoorti R (2007) Dynamic consequences of the fractal network of nanotube-poly(ethylene oxide) nanocomposites. Phys Rev E Stat Nonlinear Soft Matter Phys 75(5):050403CrossRef Chatterjee T, Krishnamoorti R (2007) Dynamic consequences of the fractal network of nanotube-poly(ethylene oxide) nanocomposites. Phys Rev E Stat Nonlinear Soft Matter Phys 75(5):050403CrossRef
go back to reference Chen M, Russel WB (1991) Characteristics of flocculated silica dispersions. J Colloid Interface Sci 141(2):564–577CrossRef Chen M, Russel WB (1991) Characteristics of flocculated silica dispersions. J Colloid Interface Sci 141(2):564–577CrossRef
go back to reference Chow MK, Zukoski CF (1995) Nonequilibrium behavior of dense suspensions of uniform particles: volume fraction and size dependence or rheology and microstructure. J Rheol 39(1):33–59CrossRef Chow MK, Zukoski CF (1995) Nonequilibrium behavior of dense suspensions of uniform particles: volume fraction and size dependence or rheology and microstructure. J Rheol 39(1):33–59CrossRef
go back to reference de Gennes PG (1979) Scaling concepts of polymer physics. Cornell University Press, Ithaca de Gennes PG (1979) Scaling concepts of polymer physics. Cornell University Press, Ithaca
go back to reference Fagan ME, Zukoski CF (1997) Rheology of charge stabilized silica suspensions. J Rheol 41(2):373–397CrossRef Fagan ME, Zukoski CF (1997) Rheology of charge stabilized silica suspensions. J Rheol 41(2):373–397CrossRef
go back to reference Fan Z, Advani SG (2007) Rheology of multiwall carbon nanotube suspensions. J Rheol 51(4):585–604CrossRef Fan Z, Advani SG (2007) Rheology of multiwall carbon nanotube suspensions. J Rheol 51(4):585–604CrossRef
go back to reference Fry D, Langhorst B, Kim H, Grulke E, Wang H, Hobbie EK (2005) Anisotropy of sheared carbon-nanotube suspensions. Phys Rev Lett 95(3):038304CrossRef Fry D, Langhorst B, Kim H, Grulke E, Wang H, Hobbie EK (2005) Anisotropy of sheared carbon-nanotube suspensions. Phys Rev Lett 95(3):038304CrossRef
go back to reference Fry D, Langhorst B, Wang H, Becker ML, Bauer BJ, Grulke EA, Hobbie EK (2006) Rheo-optical studies of carbon nanotube suspensions. J Chem Phys 124(5):054703CrossRef Fry D, Langhorst B, Wang H, Becker ML, Bauer BJ, Grulke EA, Hobbie EK (2006) Rheo-optical studies of carbon nanotube suspensions. J Chem Phys 124(5):054703CrossRef
go back to reference Hobbie EK, Fry DJ (2006) Nonequilibrium phase diagram of sticky nanotube suspensions. Phys Rev Lett 97(3):036101CrossRef Hobbie EK, Fry DJ (2006) Nonequilibrium phase diagram of sticky nanotube suspensions. Phys Rev Lett 97(3):036101CrossRef
go back to reference Hobbie EK, Fry DJ (2007) Rheology of concentrated carbon nanotube suspensions. J Chem Phys 126(12):124907CrossRef Hobbie EK, Fry DJ (2007) Rheology of concentrated carbon nanotube suspensions. J Chem Phys 126(12):124907CrossRef
go back to reference Hobbie EK, Wang H, Kim H, Han CC, Grulke EA, Obrzut J (2003a) Optical measurements of structure and orientation in sheared carbon-nanotube suspensions. Rev Sci Instrum 74(3 I):1244–1250CrossRef Hobbie EK, Wang H, Kim H, Han CC, Grulke EA, Obrzut J (2003a) Optical measurements of structure and orientation in sheared carbon-nanotube suspensions. Rev Sci Instrum 74(3 I):1244–1250CrossRef
go back to reference Hobbie EK, Wang H, Kim H, Lin-Gibson S, Grulke EA (2003b) Orientation of carbon nanotubes in a sheared polymer melt. Phys Fluids 15(5):1196–1202CrossRef Hobbie EK, Wang H, Kim H, Lin-Gibson S, Grulke EA (2003b) Orientation of carbon nanotubes in a sheared polymer melt. Phys Fluids 15(5):1196–1202CrossRef
go back to reference Huang YY, Ahir SV, Terentjev EM (2006) Dispersion rheology of carbon nanotubes in a polymer matrix. Phys Rev B: Condens Matter 73(12):125422CrossRef Huang YY, Ahir SV, Terentjev EM (2006) Dispersion rheology of carbon nanotubes in a polymer matrix. Phys Rev B: Condens Matter 73(12):125422CrossRef
go back to reference Khalkhal F, Carreau PJ, Ausias G (2011) Effect of flow history on linear viscoelastic properties of MWCNT suspensions in an epoxy. J Rheol 55(1):153–175CrossRef Khalkhal F, Carreau PJ, Ausias G (2011) Effect of flow history on linear viscoelastic properties of MWCNT suspensions in an epoxy. J Rheol 55(1):153–175CrossRef
go back to reference Larson RG (1999) The structure and rheology of complex fluids. Oxford University Press, New York Larson RG (1999) The structure and rheology of complex fluids. Oxford University Press, New York
go back to reference Lin-Gibson S, Pathak JA, Grulke EA, Wang H, Hobbie EK (2004) Elastic flow instability in nanotube suspensions. Phys Rev Lett 92(4):48302CrossRef Lin-Gibson S, Pathak JA, Grulke EA, Wang H, Hobbie EK (2004) Elastic flow instability in nanotube suspensions. Phys Rev Lett 92(4):48302CrossRef
go back to reference Mobuchon C, Carreau PJ, Heuzey MC (2009) Structural analysis of non-aqueous layered silicate suspensions subjected to shear flow. J Rheol 53(5):1025–1048CrossRef Mobuchon C, Carreau PJ, Heuzey MC (2009) Structural analysis of non-aqueous layered silicate suspensions subjected to shear flow. J Rheol 53(5):1025–1048CrossRef
go back to reference Potanin AA (1991) On the mechanism of aggregation in the shear flow of suspensions. J Colloid Interface Sci 145(1):140–157CrossRef Potanin AA (1991) On the mechanism of aggregation in the shear flow of suspensions. J Colloid Interface Sci 145(1):140–157CrossRef
go back to reference Potanin AA (1993) On the computer simulation of deformation and breakup of colloidal aggregates in shear flow. J Colloid Interface Sci 157:399–410CrossRef Potanin AA (1993) On the computer simulation of deformation and breakup of colloidal aggregates in shear flow. J Colloid Interface Sci 157:399–410CrossRef
go back to reference Potanin AA, De Rooij R, Van den Ende D, Mellema J (1995) Microrheological modeling of weakly aggregated dispersions. J Chem Phys 102(14):5845–5853CrossRef Potanin AA, De Rooij R, Van den Ende D, Mellema J (1995) Microrheological modeling of weakly aggregated dispersions. J Chem Phys 102(14):5845–5853CrossRef
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(21):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(21):214903CrossRef
go back to reference Rahatekar SS, Koziol KKK, Butler SA, Elliott JA, Shaffer MSP, Mackley MR, Windle AH (2006) Optical microstructure and viscosity enhancement for an epoxy resin matrix containing multiwall carbon nanotubes. J Rheol 50(5):599–610CrossRef Rahatekar SS, Koziol KKK, Butler SA, Elliott JA, Shaffer MSP, Mackley MR, Windle AH (2006) Optical microstructure and viscosity enhancement for an epoxy resin matrix containing multiwall carbon nanotubes. J Rheol 50(5):599–610CrossRef
go back to reference Shih W-H, Shih WY, Seong-Il K, Jun L, Alsay IA (1990) Scaling behavior of the elastic properties of colloidal gels. Phys Rev A 42(8):4772–4779CrossRef Shih W-H, Shih WY, Seong-Il K, Jun L, Alsay IA (1990) Scaling behavior of the elastic properties of colloidal gels. Phys Rev A 42(8):4772–4779CrossRef
go back to reference Song YS, Youn JR (2005) Influence of dispersion states of carbon nanotubes on physical properties of epoxy nanocomposites. Carbon 43(7):1378–1385CrossRef Song YS, Youn JR (2005) Influence of dispersion states of carbon nanotubes on physical properties of epoxy nanocomposites. Carbon 43(7):1378–1385CrossRef
go back to reference Sonntag RC, Russel WB (1986) Structure and breakup of flocs subjected to fluid stresses: I. Shear experiments. J Colloid Interface Sci 113(2):399–413CrossRef Sonntag RC, Russel WB (1986) Structure and breakup of flocs subjected to fluid stresses: I. Shear experiments. J Colloid Interface Sci 113(2):399–413CrossRef
go back to reference Sonntag RC, Russel WB (1987) Structure and breakup of flocs subjected to fluid stresses: II. Theory. J Colloid Interface Sci 115(2):378–389CrossRef Sonntag RC, Russel WB (1987) Structure and breakup of flocs subjected to fluid stresses: II. Theory. J Colloid Interface Sci 115(2):378–389CrossRef
go back to reference Switzer LH III, Klingenberg DJ (2003) Rheology of sheared flexible fiber suspensions via fiber-level simulations. J Rheol 47(3):759–778CrossRef Switzer LH III, Klingenberg DJ (2003) Rheology of sheared flexible fiber suspensions via fiber-level simulations. J Rheol 47(3):759–778CrossRef
go back to reference Wu H, Morbidelli M (2001) A model relating structure of colloidal gels to their elastic properties. Langmuir 17(4):1030–1036CrossRef Wu H, Morbidelli M (2001) A model relating structure of colloidal gels to their elastic properties. Langmuir 17(4):1030–1036CrossRef
go back to reference Wu D, Wu L, Zhou W, Sun Y, Zhang M (2009) Relations between the aspect ratio of carbon nanotubes and the formation of percolation networks in biodegradable polylactide/carbon nanotube composites. J Polym Sci Part B Polym Phys 48(4):479–489CrossRef Wu D, Wu L, Zhou W, Sun Y, Zhang M (2009) Relations between the aspect ratio of carbon nanotubes and the formation of percolation networks in biodegradable polylactide/carbon nanotube composites. J Polym Sci Part B Polym Phys 48(4):479–489CrossRef
Metadata
Title
Scaling behavior of the elastic properties of non-dilute MWCNT–epoxy suspensions
Authors
Fatemeh Khalkhal
Pierre J. Carreau
Publication date
01-10-2011
Publisher
Springer-Verlag
Published in
Rheologica Acta / Issue 9-10/2011
Print ISSN: 0035-4511
Electronic ISSN: 1435-1528
DOI
https://doi.org/10.1007/s00397-010-0527-9

Other articles of this Issue 9-10/2011

Rheologica Acta 9-10/2011 Go to the issue

Premium Partners