화학공학소재연구정보센터
Korea-Australia Rheology Journal, Vol.29, No.4, 249-268, November, 2017
Mathematical analysis on linear viscoelastic identification
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This paper is focused on mathematical analysis related with problems of linear viscoelastic identification such as intrinsic errors of conventional test methods, conversion between data of various viscoelastic functions, resolution and informativeness of viscoelastic functions and new test methods which are faster than dynamic test and more accurate than static tests. This paper provides various mathematical and numerical tools: Some of them are newly introduced here and the others are described for the reviewing previous works in this field.
  1. Anderssen RS, Davies AR, de Hoog FR, Loy RJ, J. Non-Newton. Fluid Mech., 222, 132 (2015)
  2. Atkinson K, Han W, Springer, New York 2001.
  3. Bae JE, Cho KS, J. Rheol., 59(4), 1081 (2015)
  4. Bae JE, Cho KS, J. Non-Newton. Fluid Mech., 235, 64 (2016)
  5. Baravian C, Quemada D, Rheol. Acta, 37(3), 223 (1998)
  6. Baumgartel M, Winter HH, Rheol. Acta, 28, 511 (1989)
  7. Cho KS, Song KW, Chang GS, J. Rheol., 54(1), 27 (2010)
  8. Cho KS, Springer, Netherlands 2016.
  9. Cho KS, Korea-Aust. Rheol. J., 29(2), 79 (2017)
  10. Cho KS, Park GW, J. Rheol., 57(2), 647 (2013)
  11. Cohen AM, Springer, Boston 2007.
  12. Cullum J, SIAM J. Numer. Anal., 8, 254 (1971)
  13. Davies AR, Anderssen RS, J. Non-Newton. Fluid Mech., 73(1-2), 163 (1997)
  14. Davies AR, Anderssen RS, de Hoog FR, Goulding NJ, J. Non-Newton. Fluid Mech., 233, 107 (2016)
  15. Dealy JM, Wissbrun KF, Van Nostrand Reinhold, New York 1999.
  16. Evans RML, Tassieri M, Auhl D, Waigh TA, Phys. Rev. E, 80, 012501 (2009)
  17. Ewoldt RH, Hosoi AE, McKinley GH, J. Rheol., 52(6), 1427 (2008)
  18. Ferry JD, 3rd Ed., John Wiley and Sons, New York 1980.
  19. Fulchiron R, Verney V, Cassagnau P, Michel A, Levoir P, Aubard J, J. Rheol., 37, 17 (1993)
  20. Fuoss RM, Kirkwood JG, J. Am. Chem. Soc., 63, 385 (1941)
  21. He CX, Wood-Adams P, Dealy JM, J. Rheol., 48(4), 711 (2004)
  22. Honerkamp J, Rheol. Acta, 28, 363 (1989)
  23. Honerkamp J, Weese J, Macromolecules, 22, 4372 (1989)
  24. Honerkamp J, Weese J, Rheol. Acta, 32, 65 (1993)
  25. Jackle J, Richert R, Phys. Rev. E, 77, 031201 (2008)
  26. Jaishankar A, Sharma V, McKinley GH, Soft Matter, 7, 7623 (2011)
  27. Kim M, Bae JE, Kang N, Cho KS, J. Rheol., 59(1), 237 (2015)
  28. Kwon MK, Lee SH, Lee SG, Cho KS, J. Rheol., 60(6), 1181 (2016)
  29. Lee SH, Bae JE, Cho KS, Korea-Aust. Rheol. J., 29(2), 115 (2017)
  30. Loy RJ, de Hoog FR, Anderssen RS, J. Rheol., 59(5), 1261 (2015)
  31. Malkin AY, Masalova I, Rheol. Acta, 40(3), 261 (2001)
  32. Marin G, Graessley WW, Rheol. Acta, 16, 527 (1977)
  33. Pipkin AC, Lectures on Viscoelasticity Theory, 2nd ed., Springer, New York 1986.
  34. Press WH, Teukolsky SA, Wetterling WT, Flannery BP, Numerical Recipes in C++, Cambridge University Press, Cambridge 2002.
  35. SIMHAMBHATLA M, LEONOV AI, Rheol. Acta, 32(6), 589 (1993)
  36. Stadler FJ, Bailly C, Rheol. Acta, 48(1), 33 (2009)
  37. Stadler FJ, van Ruymbeke E, Macromolecules, 43(21), 9205 (2010)
  38. Tassieri M, Laurati M, Curtis DJ, Auhl DW, Coppola S, Scalfati A, Hawkins K, Williams PR, Cooper JM, J. Rheol., 60(4), 649 (2016)
  39. Valko PP, Abate J, J. Non-Newton. Fluid Mech., 116(2-3), 395 (2004)
  40. Valsa J, Brancik L, Int. J. Numer. Model -Electron. Netw. Device Fields, 11, 153 (1998)
  41. Walters K, Rheometry, Chapman and Hall, London 1975.
  42. Wiff DR, Gehatia M, J. Appl. Phys., 46, 4231 (1975)
  43. Yeramian E, Claverie P, Nature, 326, 169 (1987)