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Rheological characterization of cross-linked poly(methyl methacrylate)

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Abstract

Poly(methyl methacrylate) (PMMA) with various degrees of cross-linking were prepared from methyl methacrylate and a cross-linker, and the effect of dilution of the polymerizable mixture by a thermoplastic PMMA on the cross-linked PMMAs was evaluated. The rheological properties were characterized in linear viscoelasticity and in uniaxial extensional flow. A critical gel is formed at concentrations of the cross-linking agent neopentyl glycol dimethacrylate (NPG) of approximately 250 mol ppm both in the case of PMMAs, which are not diluted by an addition of thermoplastic PMMA to the monomer (Recipe-A), and of PMMAs, which were obtained by an addition of 25 wt% low molecular weight thermoplastic PMMA to the monomer (Recipe-B). Significant strain hardening is observed for concentrations of NPG at and above 100 mol ppm for PMMAs based on Recipe-A and for all PMMAs produced by Recipe-B. At the same NPG concentration of 30 mol ppm, PMMA produced by Recipe-A shows very little strain hardening, while PMMA produced by Recipe-B shows significant strain hardening. This is due to the difference in the molecular weight distribution: PMMA from Recipe-A is mono-modal with M w /M n = 2.5, while PMMA from Recipe-B is bimodal with M w /M n = 5.6. Surprisingly, the strain-hardening tendency is strongly increasing with increasing NPG concentration, and at the same NPG concentration, the strain hardening of PMMAs produced by Recipe-B is higher than that of PMMAs produced by Recipe-A. This difference can be attributed to the dilution effect of the (unreacted) thermoplastic PMMA in Recipe-B PMMAs. The elongational flow behavior was also analyzed by the Molecular Stress Function (MSF) model.

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References

  • Billmeyer FW (1984) Textbook of polymer science. Wiley, New York

    Google Scholar 

  • Brandrup J, Immergut EH (1989) Polymer handbook, 3rd edn. Wiley, New York

    Google Scholar 

  • Chambon F, Winter HH (1985) Stopping of crosslinking reaction in a PDMS polymer at the gel point. Polym Bull 13:499–503

    Article  CAS  Google Scholar 

  • Doi M, Edwards SF (1978) Dynamic of concentrated polymer systems. Part 2. Molecular motion under flow. J Chem Soc Faraday Trans II 74:1802–1817

    Article  CAS  Google Scholar 

  • Doi M, Edwards SF (1979) Dynamic of concentrated polymer systems. Part 4. Rheological properties. J Chem Soc Faraday Trans II 75:38–54

    Article  CAS  Google Scholar 

  • Fetters LJ, Lohse DJ, Richter D, Witten TA, Zirkel A (1994) Connection between polymer molecular weight, density, chain dimensions, and melt viscoelastic properties. Macromolecules 27:4639–4647

    Article  CAS  Google Scholar 

  • Flory PJ (1950) Statistical mechanics of swelling of network structures. J Chem Phys 18:108–111

    Article  CAS  Google Scholar 

  • Izuka A, Winter HH, Hashimoto T (1994) Temperature dependence of viscoelasticity of polycaprolactone critical gels. Macromolecules 27:6883–6888

    Article  CAS  Google Scholar 

  • Kakuda M, Takahashi T, Koyama K (2006) Elongational viscosity of polymer composite including hydrophilic or hydrophobic silica nano-particles. Nihon Reoroji Gakkaishi 34:181–184

    Article  CAS  Google Scholar 

  • Linster JJ, Meissner J (1989) Melt elongation of a commercial poly(methyl methacrylate) product and a commercial polystyrene. Makromol Chem 190:599–611

    Article  CAS  Google Scholar 

  • Marrucci G, Hermans JJ (1980) Nonlinear viscoelasticity of concentrated polymer liquids. Macromolecules 13:380–387

    Article  CAS  Google Scholar 

  • Matsumoto A (1995) Free-radical crosslinking polymerization and copolymerization of multivinyl compounds. Adv Polym Sci 123:41–80

    Article  CAS  Google Scholar 

  • Ogura K, Takahashi M (2000) Uniaxial extensional flow and thermoformability of PMMA melts with very high molecular weight component. Nihon Reoroji Gakkaishi 28:99–103

    Article  CAS  Google Scholar 

  • Ogura K, Takahashi M (2003a) Uniaxial and biaxial extension behavior of a lightly cross-linked PMMA melt at constant strain rates. Nihon Reoroji Gakkaishi 31:79–83

    Article  CAS  Google Scholar 

  • Ogura K, Takahashi M (2003b) Uniaxial extension behavior of cross-linked poly(methyl methacrylate)s with various degrees of cross-linking. Nihon Reoroji Gakkaishi 31:85–59

    Article  CAS  Google Scholar 

  • Rolón-Garrido VH, Wagner MH (2007) The MSF model: relation of nonlinear parameters to molecular structure of long-chain branched polymer melts. Rheol Acta 46:583–593

    Article  Google Scholar 

  • Rolón-Garrido VH, Luo J, Wagner MH (2011) Enhancement of strain-hardening by thermo-oxidative degradation of low-density polyethylene. Rheol Acta 50:519–535

    Article  Google Scholar 

  • Ruymbeke E, Muliawan EB, Hatzikiriakos SG, Watanabe T, Hirao A, Vlassopoulos D (2010) Viscoelasticity and extensional rheology of model Cayley-tree polymers of different generations. J Rheol 54:643–662

    Article  Google Scholar 

  • Scanlan JC, Winter HH (1991) Composition dependence of the viscoelasticity of end-linked poly(dimethylsiloxane) at the gel point. Macromolecules 24:47–54

    Article  CAS  Google Scholar 

  • Shinohara M (1991) Uniaxial elongational viscosity of high molecular weight high density polyethylene melts. Nihon Reoroji Gakkaishi 19:118–124

    CAS  Google Scholar 

  • Takahashi T, Takimoto J, Koyama K (1999a) Elongational viscosity for miscible and immiscible polymer blends. I. PMMA and AS with similar elongational viscosity. J Appl Polym Sci 73:757–766

    Article  CAS  Google Scholar 

  • Takahashi T, Takimoto J, Koyama K (1999b) Elongational viscosity for miscible and immiscible polymer blends. II. Blends with a small amount of UHMW polymer. J Appl Polym Sci 72:961–969

    Article  CAS  Google Scholar 

  • Vallés EM, Carella JM, Winter HH, Baumgaertel M (1990) Gelation of a radiation crosslinked model polyethylene. Rheol Acta 29:535–542

    Article  Google Scholar 

  • Wagner MH, Rubio P, Bastian H (2001) The molecular stress function model for polydisperse polymer melts with dissipative convective constraint release. J Rheol 45:1387–1412

    Article  CAS  Google Scholar 

  • Wagner MH, Yamaguchi M, Takahashi M (2003) Quantitative assessment of strain hardening of low-density polyethylene melts by the molecular stress function model. J Rheol 47:779–793

    Article  CAS  Google Scholar 

  • Wagner MH, Hepperle J, Münstedt H (2004) Relating rheology and molecular structure of model branched polystyrene melts by molecular stress function theory. J Rheol 48:489–503

    Article  CAS  Google Scholar 

  • Winter HH, Chambon F (1986) Analysis of linear viscoelasticity of a crosslinking polymer at the gel point. J Rheol 30:367–382

    Article  CAS  Google Scholar 

  • Winter HH, Mours M (2007) Iris developments, http://rheology.tripod.com/

  • Wu S (1989) Chain structure and entanglement. J Polym Sci B: Polym Phys 27:723–741

    Article  CAS  Google Scholar 

  • Yamaguchi M, Miyata H (2000) Strain hardening behavior in elongational viscosity for binary blends of linear polymer and crosslinked polymer. Polym J 32:164–170

    Article  CAS  Google Scholar 

  • Yamaguchi M, Suzuki K (2001) Rheological properties and foam processability for blends of linear and crosslinked polyethylenes. J Polym Sci Part B 39:2159–2167

    Article  CAS  Google Scholar 

  • Yamaguchi M, Suzuki K (2002) Enhanced strain hardening in elongational viscosity for HDPE/crosslinked HDPE blend. II. Processability of thermoforming. J Appl Polym Sci 86:79–83

    Article  CAS  Google Scholar 

  • Yamaguchi M, Suzuki K, Maeda S (2002) Enhanced strain hardening in elongational viscosity for HDPE/crosslinked HDPE Blend. I. Characteristics of crosslinked HDPE. J Appl Polym Sci 86:73–78

    Article  CAS  Google Scholar 

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Acknowledgments

The authors would like to express their gratitude to Mr. Yoshihide Amekawa of Sumitomo Chemical for his considerable suggestions. The authors also would like to express their gratitude to Mr. Makoto Shindo of Sumitomo Chemical for preparing the samples. Part of this work was performed during the research stay of K.O. at TU Berlin.

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Correspondence to Koji Ogura.

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Ogura, K., Wagner, M.H. Rheological characterization of cross-linked poly(methyl methacrylate). Rheol Acta 52, 753–765 (2013). https://doi.org/10.1007/s00397-013-0714-6

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