Validity of the modified molecular stress function theory to predict the rheological properties of polymer nanocomposites

Journal of Rheology

Volumn 57, Issue 3, 2013, Pages 881-899

  Hassanabadi, Hojjat Mahi ^a   Abbasi, Mahdi ^b,c   Wilhelm, Manfred ^c   Rodrigue, Denis ^a  

^a UNIVERSITÉ LAVAL   (Canada)

^b UNIVERSITY OF ISFAHAN   (Iran)

^c KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

Author keywords

large deformation; modified molecular stress function; nano composites; particle network

Indexed keywords

ETHYLENE VINYL ACETATES; EXTENSIONAL PROPERTIES; LARGE AMPLITUDE OSCILLATORY SHEAR; LARGE DEFORMATIONS; MOLECULAR STRESS FUNCTIONS; PARTICLE NETWORK; POLYMER NANOCOMPOSITE; RHEOLOGICAL PROPERTY;

CALCIUM CARBONATE; DEFORMATION; NANOCOMPOSITES; PLATELETS; POLYMERS; STRESSES;

RHEOLOGY;

EID: 84877271499     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.4798559     Document Type: Article

References (84)

1. Abbasi, M., N. Golshan Ebrahimi, M. Nadali, and M. Khabbazian Esfahani, Elongational viscosity of LDPE with various structures: Employing a new evolution equation in MSF theory., Rheol. Acta 51, 163-177 (2012). 10.1007/s00397-011-0572-z
2. Akcora, P., H. Liu, S. K. Kumar, J. Moll, Y. Li, B. C. Benicewicz, L. S. Schadler, D. Acehan, A. Z. Panagiotopoulos, V. Pryamitsyn, V. Ganesan, J. Ilavsky, P. Thiyagarajan, R. H. Colby, and J. F. Douglas, Anisotropic self-assembly of spherical polymer-grafted nanoparticles., Nature Mater. 8, 354-359 (2009a). 10.1038/nmat2404
3. Akcora, P., S. K. Kumar, J. Moll, S. Lewis, L. S. Schadler, Y. Li, B. C. Benicewicz, A. Sandy, S. Narayanan, J. Ilavsky, P. Thiyagarajan, R. H. Colby, and J. F. Douglas, Gel-like' mechanical reinforcement in polymer nanocomposite melts., Macromolecules 43, 1003-1010 (2009b). 10.1021/ma902072d
4. Anderson, B. J., and C. F. Zukoski, Rheology and microstructure of entangled polymer nanocomposite melts., Macromolecules 42, 8370-8384 (2009). 10.1021/ma9011158
5. Chatterjee, T., and R. Krishnamoorti, Steady shear response of carbon nanotube networks dispersed in poly(ethylene oxide)., Macromolecules 41, 5333-5338 (2008). 10.1021/ma800640w
6. Chen, B., and J. R. G. Evans, Nominal and effective volume fractions in polymer-clay nanocomposites., Macromolecules 39, 1790-1796 (2006). 10.1021/ma0522460
7. Ci, L., J. Suhr, V. Pushparaj, X. Zhang, and P. M. Ajayan, Continuous carbon nanotube reinforced composites., Nano Lett. 8, 2762-2766 (2008). 10.1021/nl8012715
8. Crosby, A. J., and J. Y. Lee, Polymer nanocomposites: The nano effect on mechanical properties., Polym. Rev. 47, 217-229 (2007). 10.1080/ 15583720701271278
9. Dealy, J. M., and R. G. Larson, Tube models for nonlinear viscoelasticity of linear and branched polymers., in Structure and Rheology of Molten Polymers: From Structure to Flow Behavior and Back Again (Hanser Gardner, Cincinnati, OH, 2006), Chap., pp. 415-471.
10. Doi, M., and S. F. Edwards, The Theory of Polymer Dynamics (Clarendon, New York, 1989).
11. Dykes, L. M. C., J. M. Torkelson, and W. R. Burghardt, Shear-induced orientation in well-exfoliated polystyrene/clay nanocomposites., Macromolecules 45, 1622-1630 (2012). 10.1021/ma2012738
12. Guth, E., and O. Gold, On the hydrodynamical theory of the viscosity of suspensions., Phys. Rev. 53, 322 (1938).
13. Han, Z., and A. Fina, Thermal conductivity of carbon nanotubes and their polymer nanocomposites: A review., Prog. Polym. Sci. 36, 914-944 (2011). 10.1016/j.progpolymsci.2010.11.004
14. Harton, S. E., S. K. Kumar, H. Yang, T. Koga, K. Hicks, H. Lee, J. Mijovic, M. Liu, R. S. Vallery, and D. W. Gidley, Immobilized polymer layers on spherical nanoparticles., Macromolecules 43, 3415-3421 (2010). 10.1021/ma902484d
15. Hobbie, E., Shear rheology of carbon nanotube suspensions., Rheol. Acta 49, 323-334 (2010). 10.1007/s00397-009-0422-4
16. Hyun, K., and M. Wilhelm, Establishing a new mechanical nonlinear coefficient Q from FT-rheology: First investigation of entangled linear and comb polymer model systems., Macromolecules 42, 411-422 (2009). 10.1021/ma8017266
17. Hyun, K., M. Kempf, D. Ahirwal, V. H. Rolón-Garrido, M. H. Wagner, and M. Wilhelm, A new non-linear parameter for polymer melts, using FT-rheology., Ann. Trans. Nordic Rheol. Soc. 19, 247 (2011).
18. Hyun, K., M. Wilhelm, C. O. Klein, K. S. Cho, J. G. Nam, K. H. Ahn, S. J. Lee, R. H. Ewoldt, and G. H. McKinley, A review of nonlinear oscillatory shear tests: Analysis and application of large amplitude oscillatory shear (LAOS)., Prog. Polym. Sci. 36, 1697-1753 (2011). 10.1016/j.progpolymsci.2011.02.002
19. Inoue, T., Y. Yamashita, and K. Osaki, Viscoelasticity of an entangled polymer solution with special attention on a characteristic time for nonlinear behavior., Macromolecules 35, 1770-1775 (2002). 10.1021/ma011219g
20. Jancar, J., J. F. Douglas, F. W. Starr, S. K. Kumar, P. Cassagnau, A. J. Lesser, S. S. Sternstein, and M. J. Buehler, Current issues in research on structure-property relationships in polymer nanocomposites., Polymer 51, 3321-3343 (2010). 10.1016/j.polymer.2010.04.074
21. Kagarise, C., K. Koelling, Y. Wang, and S. Bechtel, A unified model for polystyrene-nanorod and polystyrene-nanoplatelet melt composites., Rheol. Acta 47, 1061-1076 (2008). 10.1007/s00397-008-0307-y
22. Kairn, T., P. J. Daivis, I. Ivanov, and S. N. Bhattacharya, Molecular-dynamics simulation of model polymer nanocomposite rheology and comparison with experiment., J. Chem. Phys. 123, 194905 (2005). 10.1063/1.2110047
23. Kallus, S., N. Willenbacher, S. Kirsch, D. Distler, T. Neidhöfer, M. Wilhelm, and H. W. Spiess, Characterization of polymer dispersions by Fourier transform rheology., Rheol. Acta 40, 552-559 (2001). 10.1007/s003970100184
24. Kim, H., A. A. Abdala, and C. W. Macosko, Graphene/polymer nanocomposites., Macromolecules 43, 6515-6530 (2010). 10.1021/ma100572e
25. Knauert, S. T., J. F. Douglas, and F. W. Starr, The effect of nanoparticle shape on polymer-nanocomposite rheology and tensile strength., J. Polym. Sci., Part B: Polym. Phys. 45, 1882-1897 (2007). 10.1002/polb.21176
26. Krishnamoorti, R., and E. P. Giannelis, Rheology of end-tethered polymer layered silicate nanocomposites., Macromolecules 30, 4097-4102 (1997). 10.1021/ma960550a
27. Krishnamoorti, R., and K. Yurekli, Rheology of polymer layered silicate nanocomposites., Curr. Opin. Colloid Interface Sci. 6, 464-470 (2001). 10.1016/S1359-0294(01)00121-2
28. Letwimolnun, W., B. Vergnes, G. Ausias, and P. J. Carreau, Stress overshoots of organoclay nanocomposites in transient shear flow., J. Non-Newtonian Fluid Mech. 141, 167-179 (2007). 10.1016/j.jnnfm.2006.11.003
29. Li, Y., M. Kröger, and W. K. Liu, Nanoparticle geometrical effect on structure, dynamics and anisotropic viscosity of polyethylene nanocomposites., Macromolecules 45, 2099-2112 (2012). 10.1021/ma202289a
30. Likhtman, A. E., S. T. Milner, and T. C. B. McLeish, Microscopic theory for the fast flow of polymer melts., Phys. Rev. Lett. 85, 4550-4553 (2000). 10.1103/PhysRevLett.85.4550
31. Ma, P. C., M.-Y. Liu, H. Zhang, S. Q. Wang, R. Wang, K. Wang, Y. K. Wong, B. Z. Tang, S. H. Hong, K. W. Paik, and J. K. Kim, Enhanced electrical conductivity of nanocomposites containing hybrid fillers of carbon nanotubes and carbon black., ACS Appl. Mater. Interfaces 1, 1090-1096 (2009). 10.1021/am9000503
32. Mahi, H., and D. Rodrigue, Linear and non-linear viscoelastic properties of ethylene vinyl acetate/nano-crystalline cellulose composites., Rheol. Acta 51, 127-142 (2012a). 10.1007/s00397-011-0603-9
33. Mahi, H., and D. Rodrigue, Relationships between linear and nonlinear shear response of polymer nano-composites., Rheol. Acta 51, 991-1005 (2012b). 10.1007/s00397-012-0655-5
34. Marrucci, G., and G. Ianniruberto, Interchain pressure effect in extensional flows of entangled polymer melts., Macromolecules 37, 3934-3942 (2004). 10.1021/ma035501u
35. Marrucci, G., and N. Grizzuti, Fast flow of concentrated polymers: Predictions of the tube model on chain stretching., Gazz. Chim. Ital. 118, 179-185 (1988).
36. McLeish, T. C. B., and R. G. Larson, Molecular constitutive equations for a class of branched polymers: The pom-pom polymer., J. Rheol. 42, 81-110 (1998). 10.1122/1.550933
37. Mead, D. W., R. G. Larson, and M. Doi, A molecular theory for fast flows of entangled polymers., Macromolecules 31, 7895-7914 (1998). 10.1021/ma980127x
38. Mobuchon, C., P. Carreau, and M.-C. Heuzey, Effect of flow history on the structure of a non-polar polymer/clay nanocomposite model system., Rheol. Acta 46, 1045-1056 (2007). 10.1007/s00397-007-0188-5
39. Mohraz, A., and M. J. Solomon, Orientation and rupture of fractal colloidal gels during start-up of steady shear flow., J. Rheol. 49, 657-681 (2005). 10.1122/1.1895799
40. Moniruzzaman, M., and K. I. Winey, Polymer nanocomposites containing carbon nanotubes., Macromolecules 39, 5194-5205 (2006). 10.1021/ma060733p
41. Neidhöfer, T., M. Wilhelm, and B. Debbaut, Fourier-transform rheology experiments and finite-element simulations on linear polystyrene solutions., J. Rheol. 47, 1351-1371 (2003). 10.1122/1.1608954
42. Neidhöfer, T., S. Sioula, N. Hadjichristidis, and M. Wilhelm, Distinguishing linear from star-branched polystyrene solutions with Fourier-transform rheology., Macromol. Rapid Commun. 25, 1921-1926 (2004). 10.1002/marc.200400295
43. Nusser, K., S. Neueder, G. J. Schneider, M. Meyer, W. Pyckhout-Hintzen, L. Willner, A. Radulescu, and D. Richter, Conformations of silica-poly(ethylene- propylene) nanocomposites., Macromolecules 43, 9837-9847 (2010). 10.1021/ma101898c
44. Pattamaprom, C., J. J. Driscroll, and R. G. Larson, Nonlinear viscoelastic predictions of uniaxial-extensional viscosities of entangled polymers., Macromol. Symp. 158, 1-14 (2000). 10.1002/1521-3900(200008)158: 1<1::AID-MASY1>3.0.CO;2-V
45. Paul, D. R., and L. M. Robeson, Polymer nanotechnology: Nanocomposites, Polymer 49, 3187-3204 (2008).
46. Pearson, D., E. Herbolzheimer, N. Grizzuti, and G. Marrucci, Transient behavior of entangled polymers at high shear rates., J. Polym. Sci., Part B: Polym. Phys. 29, 1589-1597 (1991). 10.1002/polb.1991.090291304
47. Pearson, D. S., A. D. Kiss, L. J. Fetters, and M. Doi, Flow-induced birefringence of concentrated polyisoprene solutions., J. Rheol. 33, 517-535 (1989). 10.1122/1.550026
48. Picu, R. C., and A. Rakshit, Dynamics of free chains in polymer nanocomposites., J. Chem. Phys. 126, 144909 (2007). 10.1063/1.2719196
49. Pujari, S., S. S. Rahatekar, J. W. Gilman, K. K. Koziol, A. H. Windle, and W. R. Burghardt, Orientation dynamics in multiwalled carbon nanotube dispersions under shear flow., J. Chem. Phys. 130, 214903 (2009). 10.1063/1.3139446
50. Rajabian, M., G. Naderi, P. J. Carreau, and C. Dubois, Flow-induced particle orientation and rheological properties of suspensions of organoclays in thermoplastic resins., J. Polym. Sci., Part B: Polym. Phys. 48, 2003-2011 (2010). 10.1002/polb.22080
51. Ren, J., and R. Krishnamoorti, Nonlinear viscoelastic properties of layered-silicate-based intercalated nanocomposites., Macromolecules 36, 4443-4451 (2003). 10.1021/ma020412n
52. Riggleman, R. A., G. Toepperwein, G. J. Papakonstantopoulos, J.-L. Barrat, and J. J. d. Pablo, Entanglement network in nanoparticle reinforced polymers., J. Chem. Phys. 130, 244903 (2009). 10.1063/1.3148026
53. Robertson, C. G., and C. M. Roland, Glass transition and interfacial segmental dynamics in polymer-particle composites., Rubber Chem. Technol. 81, 506-522 (2008). 10.5254/1.3548217
54. Rolón-Garrido, V., and M. Wagner, The MSF model: Relation of nonlinear parameters to molecular structure of long-chain branched polymer melts., Rheol. Acta 46, 583-593 (2007). 10.1007/s00397-006-0136-9
55. Rolón-Garrido, V., R. Pivokonsky, P. Filip, M. Zatloukal, and M. Wagner, Modelling elongational and shear rheology of two LDPE melts., Rheol. Acta 48, 691-697 (2009). 10.1007/s00397-009-0366-8
56. Sarvestani, A. S., Modeling the solid-like behavior of entangled polymer nanocomposites at low frequency regimes., Eur. Polym. J. 44, 263-269 (2008). 10.1016/j.eurpolymj.2007.11.023
57. Schlatter, G., G. Fleury, and R. Muller, Fourier transform rheology of branched polyethylene: Experiments and models for assessing the macromolecular architecture., Macromolecules 38, 6492-6503 (2005). 10.1021/ma0505530
58. Schneider, G. J., K. Nusser, L. Willner, P. Falus, and D. Richter, Dynamics of entangled chains in polymer nanocomposites., Macromolecules 44, 5857-5860 (2011). 10.1021/ma200899y
59. Sentmanat, M., Miniature universal testing platform: From extensional melt rheology to solid-state deformation behavior., Rheol. Acta 43, 657-669 (2004). 10.1007/s00397-004-0405-4
60. Sinha Ray, S., and M. Okamoto, Polymer/layered silicate nanocomposites: A review from preparation to processing., Prog. Polym. Sci. 28, 1539-1641 (2003). 10.1016/j.progpolymsci.2003.08.002
61. Sternstein, S. S., and A.-J. Zhu, Reinforcement mechanism of nanofilled polymer melts as elucidated by nonlinear viscoelastic behavior., Macromolecules 35, 7262-7273 (2002). 10.1021/ma020482u
62. Utracki, L. A., M. M. Sepehr, and P. J. Carreau, Rheology of polymers with nanofillers., in Polymer Physics: From Suspensions to Nanocomposites and Beyond (John Wiley Sons, Hoboken, 2010), pp. 639-670.
63. van Dusschoten, D., and M. Wilhelm, Increased torque transducer sensitivity via oversampling., Rheol. Acta 40, 395-399 (2001). 10.1007/s003970000158
64. Vermant, J., S. Ceccia, M. K. Dolgovskij, P. L. Maffettone, and C. W. Macosko, Quantifying dispersion of layered nanocomposites via melt rheology., J. Rheol. 51, 429-450 (2007). 10.1122/1.2516399
65. Via, M. D., F. A. Morrison, J. A. King, J. A. Caspary, O. P. Mills, and G. R. Bogucki, Comparison of rheological properties of carbon nanotube/polycarbonate and carbon black/polycarbonate composites., J. Appl. Polym. Sci. 121, 1040-1051 (2011). 10.1002/app.33722
66. Vittorias, I., and M. Wilhelm, Application of FT rheology to industrial linear and branched polyethylene blends., Macromol. Mater. Eng. 292, 935-948 (2007). 10.1002/mame.200700120
67. Wagner, M. H., and J. Schaeffer, Rubbers and polymer melts: Universal aspects of nonlinear stress-strain relations., J. Rheol. 37, 643-661 (1993). 10.1122/1.550388
68. Wagner, M. H., and V. Rolón-Garrido, The interchain pressure effect in shear rheology., Rheol. Acta 49, 459-471 (2010). 10.1007/s00397-009- 0427-z
69. Wagner, M. H., H. Bastian, P. Hachmann, J. Meissner, S. Kurzbeck, H. Münstedt, and F. Langouche, The strain-hardening behaviour of linear and long-chain-branched polyolefin melts in extensional flows., Rheol. Acta 39, 97-109 (2000). 10.1007/s003970050010
70. Wagner, M. H., J. Hepperle, and H. Munstedt, Relating rheology and molecular structure of model branched polystyrene melts by molecular stress function theory., J. Rheol. 48, 489-503 (2004a). 10.1122/1.1687786
71. Wagner, M. H., M. Yamaguchi, and M. Takahashi, Quantitative assessment of strain hardening of low-density polyethylene melts by the molecular stress function model., J. Rheol. 47, 779-793 (2003). 10.1122/1.1562155
72. Wagner, M. H., P. Rubio, and H. Bastian, The molecular stress function model for polydisperse polymer melts with dissipative convective constraint release., J. Rheol. 45, 1387-1412 (2001). 10.1122/1.1413503
73. Wagner, M. H., S. Kheirandish, and M. Yamaguchi, Quantitative analysis of melt elongational behavior of LLDPE/LDPE blends., Rheol. Acta 44, 198-218 (2004b). 10.1007/s00397-004-0400-9
74. Wagner, M. H., S. Kheirandish, and O. Hassager, Quantitative prediction of transient and steady-state elongational viscosity of nearly monodisperse polystyrene melts., J. Rheol. 49, 1317-1327 (2005a). 10.1122/1.2048741
75. Wagner, M. H., S. Kheirandish, J. Stange, and H. Münstedt, Modeling elongational viscosity of blends of linear and long-chain branched polypropylenes., Rheol. Acta 46, 211-221 (2006). 10.1007/s00397-006-0108-0
76. Wagner, M. H., S. Kheirandish, K. Koyama, A. Nishioka, A. Minegishi, and T. Takahashi, Modeling strain hardening of polydisperse polystyrene melts by molecular stress function theory., Rheol. Acta 44, 235-243 (2005b). 10.1007/s00397-004-0402-7
77. Wapperom, P., A. Leygue, and R. Keunings, Numerical simulation of large amplitude oscillatory shear of a high-density polyethylene melt using the MSF model., J. Non-Newtonian Fluid Mech. 130, 63-76 (2005). 10.1016/j.jnnfm.2005.08. 002
78. Watanabe, H., Viscoelasticity and dynamics of entangled polymers., Prog. Polym. Sci. 24, 1253-1403 (1999). 10.1016/S0079-6700(99)00029-5
79. Wilhelm, M., Fourier-transform rheology., Macromol. Mater. Eng. 287, 83-105 (2002). 10.1002/1439-2054(20020201)287:2<83::AID-MAME83>3.0.CO;2-B
80. Wilhelm, M., P. Reinheimer, and M. Ortseifer, High sensitivity Fourier-transform rheology., Rheol. Acta 38, 349-356 (1999). 10.1007/s003970050185
81. Wohlfarth, C., PVT data of molten copolymers., in CRC Handbook of Thermodynamic Data of Copolymer Solutions (CRC, New York, 2001), Chap..
82. Yoonessi, M., and J. R. Gaier, Highly conductive multifunctional graphene polycarbonate nanocomposites., ACS Nano 4, 7211-7220 (2010). 10.1021/nn1019626
83. Zhou, T., J. W. Zha, Y. Hou, D. Wang, J. Zhao, and Z. M. Dang, Surface-functionalized MWNTs with emeraldine base: Preparation and improving dielectric properties of polymer nanocomposites., ACS Appl. Mater. Interfaces 3, 4557-4560 (2011). 10.1021/am201454e
84. See supplementary material at http://dx.doi.org/10.1122/1.4798559 E-JORHD2-57-006303 for f s 2 values in shear and elongation deformations.