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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.
Keywords:medium amplitude oscillatory shear;MAOS;intrinsic nonlinearity;Fourier-transform (FT) rheology;nonlinear rheology
- Abbasi M, Ebrahimi NG, Wilhelm M, J. Rheol., 57(6), 1693 (2013)
- Bharadwaj NA, Schweizer KS, Ewoldt RH, J. Rheol., 61(4), 643 (2017)
- Bharadwaj NA, Ewoldt RH, J. Rheol., 58(4), 891 (2014)
- Bharadwaj NA, Ewoldt RH, Rheol. Acta, 54(3), 223 (2015)
- Bird RB, Giacomin AJ, Schmalzer AM, Aumnate C, J. Chem. Phys., 140, 074904 (2014)
- Torre OCDL, Ewoldt RH, Korea-Aust. Rheol. J., 30(1), 1 (2018)
- Cho KS, Ahn KH, Lee SJ, J. Rheol., 49(3), 747 (2005)
- Cziep MA, Abbasi M, Heck M, Arens L, Wilhelm M, Macromolecules, 49(9), 3566 (2016)
- Davis WM, Macosko CW, J. Rheol., 22, 53 (1978)
- Ewoldt RH, Hosoi AE, McKinley GH, J. Rheol., 52(6), 1427 (2008)
- Ewoldt RH, Bharadwaj NA, Rheol. Acta, 52(3), 201 (2013)
- Ferry JD, Viscoelastic Properties of Polymers, John Wiley & Sons, New York, 1980.
- Ganeriwala SN, Rotz CA, Polym. Eng. Sci., 27, 165 (1987)
- Giacomin AJ, Dealy JM, Techniques in Rheological Measurement, 99-121 1993.
- Giacomin AJ, Bird RB, Johnson LM, Mix AW, J. Non-Newton. Fluid Mech., 166(19-20), 1081 (2011)
- Gurnon AK, Wagner NJ, J. Rheol., 56(2), 333 (2012)
- Hyun K, Baik ES, Ahn KH, Lee SJ, Sugimoto M, Koyama K, J. Rheol., 51(6), 1319 (2007)
- Hyun K, Wilhelm M, Macromolecules, 42(1), 411 (2009)
- Hyun K, Wilhelm M, Nonlinear Dielectric Spectroscopy, 321 2018.
- Hyun K, Wilhelm M, Klein CO, Cho KS, Nam JG, Ahn KH, Lee SJ, Ewoldt RH, McKinley GH, Prog. Polym. Sci, 36, 1697 (2011)
- Hyun K, Kim SH, Ahn KH, Lee SJ, J. Non-Newton. Fluid Mech., 107(1-3), 51 (2002)
- Kempf M, Ahirwal D, Cziep M, Wilhelm M, Macromolecules, 46(12), 4978 (2013)
- Kim SH, Sim HG, Ahn KH, Lee SJ, Korea-Aust. Rheol. J., 14(2), 49 (2002)
- Kumar MA, Ewoldt RH, Zukoski CF, Soft Matter, 12, 7655 (2016)
- Lee SH, Song HY, Hyun K, Korea-Aust. Rheol. J., 28(2), 111 (2016)
- Lim HT, Ahn KH, Hong JS, Hyun K, J. Rheol., 57(3), 767 (2013)
- Merger D, Abbasi M, Merger J, Giacomin AJ, Saengow C, Wilhelm M, Appl. Rheol., 26, 53809 (2016)
- Ock HG, Ahn KH, Lee SJ, Hyun K, Macromolecules, 49(7), 2832 (2016)
- Park CH, Ahn KH, Lee SJ, J. Non-Newton. Fluid Mech., 251, 1 (2018)
- Payne AR, J. Appl. Polym. Sci., 6, 57 (1962)
- Pearson DS, Rochefort WE, J. Polym. Sci. B: Polym. Phys., 20, 83 (1982)
- Rogers SA, J. Rheol., 56(5), 1129 (2012)
- Salehiyan R, Song HY, Kim M, Choi WJ, Hyun K, Macromolecules, 49(8), 3148 (2016)
- Salehiyan R, Song HY, Choi WJ, Hyun K, Macromolecules, 48(13), 4669 (2015)
- Salehiyan R, Yoo Y, Choi WJ, Hyun K, Macromolecules, 47(12), 4066 (2014)
- Shahid T, Huang Q, Oosterlinck F, Clasen C, van Ruymbeke E, Soft Matter, 13, 269 (2017)
- Song HY, Hyun K, J. Rheol., 62(4), 919 (2018)
- Song HY, Nnyigide OS, Salehiyan R, Hyun K, Polymer, 104, 268 (2016)
- Song HY, Salehiyan R, Li X, Lee SH, Hyun K, Korea-Aust. Rheol. J., 29(4), 281 (2017)
- Song HY, Park SJ, Hyun K, Macromolecules, 50(16), 6238 (2017)
- Vananroye A, Leen P, Van Puyvelde P, Clasen C, Rheol. Acta, 50(9-10), 795 (2011)
- Wagner MH, Rolon-Garrido VH, Hyun K, Wilhelm M, J. Rheol., 55(3), 495 (2011)
- Wang MJ, Rubber Chem. Technol., 71, 520 (1998)
- Wilhelm M, Macromol. Mater. Eng., 287, 83 (2002)
- Xiong WT, Wang XR, J. Rheol., 62(1), 171 (2018)