화학공학소재연구정보센터
홈 로그인 로그아웃 연락처 사이트맵
Korea-Australia Rheology Journal, Vol.29, No.2, 79-86, May, 2017
DOI10.1007/s13367-017-0010-6  Export Citation
Which is more informative between creep and relaxation experiments?
Kwang Soo Cho†
  • Department of Polymer Science and Engineering, School of Applied Chemical Engineering, Kyungpook National University, Daegu 41566, Republic of Korea
E-mail:
We present mathematical analysis which compares linear viscoelastic measurements such as creep and relaxation. The analysis is focused on which one is more informative. Since the intervals of relaxation time (or retardation time) of most polymeric materials are much wider than the interval of observation time of conventional rheological measurement, it is not possible to extract perfectly the whole information of material from any rheological measurement. The mathematical analysis is to manifest which experimental method can obtain more information within the same interval of observation. Although the analysis of Jackle and Richert (2008) means that the width of retardation is wider than that of relaxation, the results of the analysis hold for only viscoelastic solid because their analysis is based on dielectric relaxation. Our analysis shows that creep experiment is more informative than relaxation experiment as for viscoelastic fluid.
Keywords:relaxation modulus;creep compliance;relaxation spectrum;retardation spectrum;Laplace transform
  1. Anderssen RS, Davies AR, de Hoog FR, Rheol. Acta, 47(2), 159 (2008)
  2. Bae JE, Cho KS, J. Rheol., 59(4), 1081 (2015)
  3. Baumgaertel M, Schausberger A, Winter HH, Rheol. Acta, 29, 400 (1990)
  4. Baumgaertel M, Winter HH, Rheol. Acta, 28, 511 (1989)
  5. Cho KS, J. Rheol., 57(2), 679 (2013)
  6. Cho KS, 2016, Viscoelasticity of Polymers: Theory and Numerical Algorithms, Springer Science+Business Media, Dordrecht.
  7. Cho KS, Park GW, J. Rheol., 57(2), 647 (2013)
  8. Cole KS, Cole RH, J. Chem. Phys., 9, 341 (1941)
  9. Davies AR, Anderssen RS, J. Non-Newton. Fluid Mech., 73(1-2), 163 (1997)
  10. Du Y, Yang Z, Zhou C, Macromol. Res., 23(9), 867 (2015)
  11. Evans RML, Tassieri M, Auhl D, Waigh TA, Phys. Rev. E, 80, 012501 (2009)
  12. Fulchiron R, Verney V, Cassagnau P, Michel A, Levoir P, Aubard J, J. Rheol., 37, 17 (1993)
  13. Fuoss RM, Kirkwood JG, J. Am. Chem. Soc., 63, 385 (1941)
  14. He CX, Wood-Adams P, Dealy JM, J. Rheol., 48(4), 711 (2004)
  15. Honerkamp J, Weese J, Rheol. Acta, 32, 65 (1993)
  16. Jackle J, Richert R, Phys. Rev. E, 77, 031201 (2008)
  17. Kim D, Kim G, Bae J, Oh S, Park E, Chung I, Macromol. Res., 24(3), 261 (2016)
  18. Kim M, Bae JE, Kang N, Cho KS, J. Rheol., 59(1), 237 (2015)
  19. Kwon MK, Lee SH, Lee SG, Cho KS, J. Rheol., 60(6), 1181 (2016)
  20. Marin G, Graessley WW, Rheol. Acta, 16, 527 (1977)
  21. Plazek DJ, Raghupathi N, Orbon SJ, J. Rheol., 23, 477 (1979)
  22. Seo B, Kim K, Lee H, Lee JY, Kwag GH, Kim W, Macromol. Res., 23(5), 466 (2015)
  23. SIMHAMBHATLA M, LEONOV AI, Rheol. Acta, 32(6), 589 (1993)
  24. Stadler FJ, Bailly C, Rheol. Acta, 48(1), 33 (2009)
  25. Stadler FJ, van Ruymbeke E, Macromolecules, 43(21), 9205 (2010)
  26. Tassieri M, Laurati M, Curtis DJ, Auhl DW, Coppola S, Scalfati A, Hawkins K, Williams PR, Cooper JM, J. Rheol., 60(4), 649 (2016)
  27. Valko PP, Abate J, J. Non-Newton. Fluid Mech., 116(2-3), 395 (2004)