화학공학소재연구정보센터
Korea-Australia Rheology Journal, Vol.31, No.1, 1-13, February, 2019
First-harmonic intrinsic nonlinearity of model polymer solutions in medium amplitude oscillatory shear (MAOS)
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First-harmonic MAOS moduli were demonstrated experimentally using monodisperse linear polystyrene (PS) solutions at different concentrations. Two first-harmonic intrinsic nonlinearities are asymptotic deviations from two linear viscoelastic moduli and obtained in medium amplitude oscillatory shear (MAOS) regime. Master curves of first-harmonic MAOS moduli for PS solutions provided novel information which has never been reported before. The interrelationship between first-harmonic and third-harmonic MAOS moduli was evaluated at low and high De. At the low-De limit, all solutions followed the universal interrelation predicted by fourth-order fluid expansion. At the high-De limit, where no universal interrelation exists, the average first-harmonic to third-harmonic elastic MAOS moduli ratio was -22.26, and for viscous counterparts, the magnitude and sign of this ratio changed on increasing frequency. Unentangled and entangled solutions were distinguished using normalized viscous moduli at De > 1. Viscous MAOS moduli normalized by SAOS complex modulus displayed a plateau for unentangled solutions and a decreasing behavior for entangled solutions. First-harmonic MAOS moduli of entangled solutions agreed well with multimode molecular stress function (MSF) predictions under the all relaxation mode assumption, which contrasted with third-harmonic MAOS predictions using the terminal relaxation mode assumption. It is expected that the first-harmonic MAOS results in this paper will be good reference information for future MAOS studies and computer simulations.
  1. Abbasi M, Ebrahimi NG, Wilhelm M, J. Rheol., 57(6), 1693 (2013)
  2. Bharadwaj NA, Schweizer KS, Ewoldt RH, J. Rheol., 61(4), 643 (2017)
  3. Bharadwaj NA, Ewoldt RH, J. Rheol., 58(4), 891 (2014)
  4. Bharadwaj NA, Ewoldt RH, Rheol. Acta, 54(3), 223 (2015)
  5. Bird RB, Giacomin AJ, Schmalzer AM, Aumnate C, J. Chem. Phys., 140, 074904 (2014)
  6. Torre OCDL, Ewoldt RH, Korea-Aust. Rheol. J., 30(1), 1 (2018)
  7. Cho KS, Ahn KH, Lee SJ, J. Rheol., 49(3), 747 (2005)
  8. Cziep MA, Abbasi M, Heck M, Arens L, Wilhelm M, Macromolecules, 49(9), 3566 (2016)
  9. Davis WM, Macosko CW, J. Rheol., 22, 53 (1978)
  10. Ewoldt RH, Hosoi AE, McKinley GH, J. Rheol., 52(6), 1427 (2008)
  11. Ewoldt RH, Bharadwaj NA, Rheol. Acta, 52(3), 201 (2013)
  12. Ferry JD, Viscoelastic Properties of Polymers, John Wiley & Sons, New York, 1980.
  13. Ganeriwala SN, Rotz CA, Polym. Eng. Sci., 27, 165 (1987)
  14. Giacomin AJ, Dealy JM, Techniques in Rheological Measurement, 99-121 1993.
  15. Giacomin AJ, Bird RB, Johnson LM, Mix AW, J. Non-Newton. Fluid Mech., 166(19-20), 1081 (2011)
  16. Gurnon AK, Wagner NJ, J. Rheol., 56(2), 333 (2012)
  17. Hyun K, Baik ES, Ahn KH, Lee SJ, Sugimoto M, Koyama K, J. Rheol., 51(6), 1319 (2007)
  18. Hyun K, Wilhelm M, Macromolecules, 42(1), 411 (2009)
  19. Hyun K, Wilhelm M, Nonlinear Dielectric Spectroscopy, 321 2018.
  20. Hyun K, Wilhelm M, Klein CO, Cho KS, Nam JG, Ahn KH, Lee SJ, Ewoldt RH, McKinley GH, Prog. Polym. Sci, 36, 1697 (2011)
  21. Hyun K, Kim SH, Ahn KH, Lee SJ, J. Non-Newton. Fluid Mech., 107(1-3), 51 (2002)
  22. Kempf M, Ahirwal D, Cziep M, Wilhelm M, Macromolecules, 46(12), 4978 (2013)
  23. Kim SH, Sim HG, Ahn KH, Lee SJ, Korea-Aust. Rheol. J., 14(2), 49 (2002)
  24. Kumar MA, Ewoldt RH, Zukoski CF, Soft Matter, 12, 7655 (2016)
  25. Lee SH, Song HY, Hyun K, Korea-Aust. Rheol. J., 28(2), 111 (2016)
  26. Lim HT, Ahn KH, Hong JS, Hyun K, J. Rheol., 57(3), 767 (2013)
  27. Merger D, Abbasi M, Merger J, Giacomin AJ, Saengow C, Wilhelm M, Appl. Rheol., 26, 53809 (2016)
  28. Ock HG, Ahn KH, Lee SJ, Hyun K, Macromolecules, 49(7), 2832 (2016)
  29. Park CH, Ahn KH, Lee SJ, J. Non-Newton. Fluid Mech., 251, 1 (2018)
  30. Payne AR, J. Appl. Polym. Sci., 6, 57 (1962)
  31. Pearson DS, Rochefort WE, J. Polym. Sci. B: Polym. Phys., 20, 83 (1982)
  32. Rogers SA, J. Rheol., 56(5), 1129 (2012)
  33. Salehiyan R, Song HY, Kim M, Choi WJ, Hyun K, Macromolecules, 49(8), 3148 (2016)
  34. Salehiyan R, Song HY, Choi WJ, Hyun K, Macromolecules, 48(13), 4669 (2015)
  35. Salehiyan R, Yoo Y, Choi WJ, Hyun K, Macromolecules, 47(12), 4066 (2014)
  36. Shahid T, Huang Q, Oosterlinck F, Clasen C, van Ruymbeke E, Soft Matter, 13, 269 (2017)
  37. Song HY, Hyun K, J. Rheol., 62(4), 919 (2018)
  38. Song HY, Nnyigide OS, Salehiyan R, Hyun K, Polymer, 104, 268 (2016)
  39. Song HY, Salehiyan R, Li X, Lee SH, Hyun K, Korea-Aust. Rheol. J., 29(4), 281 (2017)
  40. Song HY, Park SJ, Hyun K, Macromolecules, 50(16), 6238 (2017)
  41. Vananroye A, Leen P, Van Puyvelde P, Clasen C, Rheol. Acta, 50(9-10), 795 (2011)
  42. Wagner MH, Rolon-Garrido VH, Hyun K, Wilhelm M, J. Rheol., 55(3), 495 (2011)
  43. Wang MJ, Rubber Chem. Technol., 71, 520 (1998)
  44. Wilhelm M, Macromol. Mater. Eng., 287, 83 (2002)
  45. Xiong WT, Wang XR, J. Rheol., 62(1), 171 (2018)