화학공학소재연구정보센터
홈 로그인 로그아웃 연락처 사이트맵
Korea-Australia Rheology Journal, Vol.31, No.4, 267-284, November, 2019
DOI10.1007/s13367-019-0027-0  Export Citation
Nonlinear material functions under medium amplitude oscillatory shear (MAOS) flow
Hyeong Yong Song, and Kyu Hyun†
  • School of Chemical and Biomolecular Engineering, Pusan National University, Busan 46241, Republic of Korea
E-mail:
Dynamic oscillatory shear flow has been widely used to investigate viscoelastic material functions. In particular, small amplitude oscillatory shear (SAOS) tests have become the canonical method for characterizing the linear viscoelastic properties of complex fluids based on strong theoretical background and plenty of experimental results. Recently, there has been increasing interest in the use of large amplitude oscillatory shear (LAOS) tests for the characterization of complex fluids. However, it is difficult to define material functions in LAOS regime due to an infinite number of higher harmonic contributions. For this reason, many recent studies have focused on intrinsic nonlinearities obtained in medium amplitude oscillatory shear (MAOS) regime, which is a subdivision of the full LAOS regime. In this study, we reviewed recent experimental and theoretical results of nonlinear material functions in the MAOS regime, which contain four MAOS moduli (two first-harmonic moduli and two third-harmonic moduli) from Fourier and power series of shear stress, and a nonlinear material function Q0 and its elastic and viscous parts from Fourier-transform rheology (FT rheology). Furthermore, to identify linear-to-nonlinear transitions in stress response of model polystyrene (PS) solutions, we presented Pipkin diagrams in frequency ranges from the rubbery plateau region to the terminal region.
Keywords:medium amplitude oscillatory shear;MAOS moduli;FT rheology;material functions;nonlinear rheology
  1. Abbasi M, Ebrahimi NG, Wilhelm M, J. Rheol., 57(6), 1693 (2013)
  2. Astarita G, Jongschaap RJJ, J. Non-Newton. Fluid Mech., 3, 281 (1978)
  3. Bae JE, Cho KS, Phys. Fluids, 29, 093103 (2017)
  4. Bharadwaj NA, Ewoldt RH, J. Rheol., 58(4), 891 (2014)
  5. Bharadwaj NA, Ewoldt RH, J. Rheol., 59(2), 557 (2015)
  6. Bharadwaj NA, Schweizer KS, Ewoldt RH, J. Rheol., 61(4), 643 (2017)
  7. Bird RB, Giacomin AJ, Schmalzer AM, Aumnate C, J. C hem. Phys., 140, 074904 (2014)
  8. Bird RB, Armstrong RC, Hassager O, Dynamics of polymeric liquids. Vol. 1: Fluid Mechanics, 1987.
  9. Bozorgi Y, Underhill PT, Rheol. Acta, 53(12), 899 (2014)
  10. Chang GS, Ahn HJ, Song KW, Text. Sci. Eng., 52, 159 (2015)
  11. Chang GS, Ahn HJ, Song KW, Text. Sci. Eng., 53, 317 (2016)
  12. Cho KS, Ahn KH, Lee SJ, J. Rheol., 49(3), 747 (2005)
  13. Cho KS, Song KW, Chang GS, J. Rheol., 54(1), 27 (2010)
  14. Costanzo S, Huang Q, Ianniruberto G, Marrucci G, Hassager O, Vlassopoulos D, Macromolecules, 49(10), 3925 (2016)
  15. Cziep MA, Abbasi M, Heck M, Arens L, Wilhelm M, Macromolecules, 49(9), 3566 (2016)
  16. Davis WM, Macosko CW, J. Rheol., 22, 53 (1978)
  17. Ewoldt RH, Bharadwaj NA, Rheol. Acta, 52(3), 201 (2013)
  18. Ewoldt RH, Hosoi AE, McKinley GH, J. Rheol., 52(6), 1427 (2008)
  19. Fan XJ, Bird RB, J. Non-Newton. Fluid Mech., 15, 341 (1984)
  20. Ferry JD, Viscoelastic Properties of Polymers, 1980.
  21. Giacomin AJ, Dealy JM, Techniques in Rheological Measurement, 99-121. 1993.
  22. Giacomin AJ, Bird RB, Johnson LM, Mix AW, J. Non-Newton. Fluid Mech., 166(19-20), 1081 (2011)
  23. Giacomin AJ, Jeyaseelan RS, Samurkas T, Dealy JM, J. Rheol., 37, 811 (1993)
  24. Gilbert PH, Giacomin AJ, Phys. Fluids, 28, 103101 (2016)
  25. Gross LH, Maxwell B, Trans. Soc. Rheol., 16, 577 (1972)
  26. Gurnon AK, Wagner NJ, J. Rheol., 56(2), 333 (2012)
  27. Helfand E, Pearson DS, J. Polym. Sci. B: Polym. Phys., 20, 1249 (1982)
  28. Hershey C, Jayaraman K, J. Polym. Sci. B: Polym. Phys., 57(1), 62 (2019)
  29. Hoyle DM, Auhl D, Harlen OG, Barroso VC, Wilhelm M, McLeish TCB, J. Rheol., 58(4), 969 (2014)
  30. Hyun K, Wilhelm M, Macromolecules, 42(1), 411 (2009)
  31. Hyun K, Wilhelm M, Nonlinear Dielectric Spectroscopy, 321-368 2018.
  32. Hyun K, Baik ES, Ahn KH, Lee SJ, Sugimoto M, Koyama K, J. Rheol., 51(6), 1319 (2007)
  33. Hyun K, Lim HT, Ahn KH, Korea-Aust. Rheol. J., 24(2), 113 (2012)
  34. Hyun K, Wilhelm M, Klein CO, Cho KS, Nam JG, Ahn KH, Lee SJ, Ewoldt RH, McKinley GH, Prog. Polym. Sci, 36, 1697 (2011)
  35. Hyun K, Kim SH, Ahn KH, Lee SJ, J. Non-Newton. Fluid Mech., 107(1-3), 51 (2002)
  36. Jongschaap RJJ, Knapper KH, Lopulissa JS, Polym. Eng. Sci., 18, 788 (1978)
  37. Kempf M, Ahirwal D, Cziep M, Wilhelm M, Macromolecules, 46(12), 4978 (2013)
  38. Kirkwood JG, Plock RJ, J. Chem. Phys., 24, 665 (1956)
  39. Kumar MA, Ewoldt RH, Zukoski CF, Soft Matter, 12, 7655 (2016)
  40. Larson RG, Constitutive Equations for Polymer Melts and Solutions, 1988.
  41. Likhtman AE, McLeish TCB, Macromolecules, 35(16), 6332 (2002)
  42. Lim HT, Ahn KH, Hong JS, Hyun K, J. Rheol., 57(3), 767 (2013)
  43. Martinetti L, Ewoldt RH, Phys. Fluids, 31, 021213 (2019)
  44. Martinetti L, Carey-De La Torre O, Schweizer KS, Ewoldt RH, Macromolecules, 51(21), 8772 (2018)
  45. Merger D, Abbasi M, Merger J, Giacomin AJ, Saengow C, Wilhelm M, Appl. Rheol., 26, 53809 (2016)
  46. Nie ZJ, Yu W, Zhou CX, J. Rheol., 60(6), 1161 (2016)
  47. Onogi S, Masuda T, Kitagawa K, Macromolecules, 3, 109 (1970)
  48. Paul E, Mazo RM, J. Chem. Phys., 51, 1102 (1969)
  49. Paul E, J. Chem. Phys., 51, 1271 (1969)
  50. Pearson DS, Rochefort WE, J. Polym. Sci. B: Polym. Phys., 20, 83 (1982)
  51. Pipkin AC, Lectures on Viscoelasticity Theory, 131-156 1986.
  52. Poungthong P, Giacomin AJ, Saengow C, Kolitawong C, J. Non-Newton. Fluid Mech., 265, 53 (2019)
  53. Poungthong P, Saengow C, Giacomin AJ, Kolitawong C, Korea-Aust. Rheol. J., 30(3), 169 (2018)
  54. Saengow C, Giacomin AJ, Phys. Fluids, 30, 030703 (2018)
  55. Saengow C, Giacomin AJ, Kolitawong C, Phys. Fluids, 29, 043101 (2017)
  56. Salehiyan R, Song HY, Kim M, Choi WJ, Hyun K, Macromolecules, 49(8), 3148 (2016)
  57. Salehiyan R, Song HY, Choi WJ, Hyun K, Macromolecules, 48(13), 4669 (2015)
  58. Shahid T, Huang Q, Oosterlinck F, Clasen C, van Ruymbeke E, Soft Matter, 13, 269 (2017)
  59. Song HY, Hyun K, J. Rheol., 62(4), 919 (2018)
  60. Song HY, Hyun K, Korea-Aust. Rheol. J., 31(1), 1 (2019)
  61. Song HY, Nnyigide OS, Salehiyan R, Hyun K, Polymer, 104, 268 (2016)
  62. Song HY, Park SJ, Hyun K, Macromolecules, 50(16), 6238 (2017)
  63. Song HY, Salehiyan R, Li X, Lee SH, Hyun K, Korea-Aust. Rheol. J., 29(4), 281 (2017)
  64. Wagner MH, Rolon-Garrido VH, Hyun K, Wilhelm M, J. Rheol., 55(3), 495 (2011)
  65. Wilhelm M, Macromol. Mater. Eng., 287, 83 (2002)
  66. Wilhelm M, Reinheimer K, Kubel J, Z. Phys. Chemie-Int. J. Res. Phys. Chem. Chem. Phys., 226, 547 (2012)