Geometric insights on viscoelasticity: Symmetry, scaling and superposition of viscoelastic functions

Korea Australia Rheology Journal

Volumn 23, Issue 1, 2011, Pages 49-58

  Cho, Kwang Soo ^a   Bae, Jung Eun ^a  

^a Kyungpook National University   (South Korea)

Author keywords

Stress decomposition; Time temperature superposition

Indexed keywords

EID: 79959840101     PISSN: 1226119X     EISSN: 20937660     Source Type: Journal    
DOI: 10.1007/s13367-011-0007-5     Document Type: Article

References (26)

1. Bae, J.-E., 2011, Development of the algorithm of time-temperature superposition based on geometric characteristic of linear viscoelastic data and its applications, Thesis of Master Degree, Kyungpook National University.
2. Barenblatt, G.I., 1996, Scaling, self-similarity, and intermediate asymptotic, Cambridge University Press, Cambridge and New York.
3. Cho, K.S., K.H. Ahn, and S.J. Lee, 2004, Universality of linear viscoelasticity of monodisperse linear polymers, J. Polym. Sci., Polym. Phys. Ed. 42, 2730-2737.
4. Cho, K.S., K.H. Ahn, and S.J. Lee, 2005, A geometrical interpretation of large amplitude oscillatory shear response, J. Rheol. 49,747-758.
5. Cho, K.S., 2009, Geometric interpretation of time-temperature superposition, Korea-Australia Rheology J. 21, 13-16.
6. Cho, K.S., K.-W. Song, and G.-S. Chang, 2010, Scaling relations in nonlinear viscoelastic behavior of aqueous PEO solutions under large amplitude oscillatory shear flow, J. Rheol. 54, 27-63.
7. Dealy, J.M., and R.G. Larson, 2006, Structure and Rheology of Molten Polymers: From Structure to Flow Behavior and Back Again, Hanser, Munich.
8. Engl, H.W., M. Hanke, and A. Neubauer, 2000, Regularization of Inverse Problems, Kluwer Academic Publishers, London.
9. Ewolt, R.H., A.E. Hosoi, and G.H. McKinley, New Measures for characterizing nonlinear viscoelasticity in large amplitude oscillatory shear, J. Rheol. 52, 1427-1458.
10. Ferry, J.D., 1980, Viscoelastic Properties of Polymers, 3rd edition, John Wiley & Sons, inc., New York.
11. Goldstein, H., C. Poole, and J. Safko, 2002, Classical Mechanics, Addison-Wesley, California.
12. Hermida, E. B. and F. Povolo, 1994, Analytical-numerical procedure to determine if a set of experimental curves can be superposed to from a master curve, Polymer J. 26, 981-992.
13. Honerkamp, J. and J. Weese, 1993, A note on estimating mastercurves, Rheol. Acta 32, 57-64.
14. Hyun, K., K.H. Ahn, S.J Lee, M. Sugimoto, and K. Koyama, 2006, Degree of branching of polypropylene measured from Fourier-transform rheology, Rheol. Acta 46, 123-129.
15. Hyun, K., E.S. Baik, K.H. Ahn, S.J. Lee, M. Sugimoto, and K. Koyama, 2007, Fourier-transform rheology under medium amplitude oscillatory shear for linear and branched polymer melts, J. Rheol. 51, 1319-1342.
16. Hyun, K. and M. Wilhelm, 2009, Establishing a new mechanical nonlinear coefficient Q from FT-Rheology: First investigation on entangled linear and comb polymer model systems, Macromolecules 42, 411-422.
17. Klein, C.O., H.W. Spiess, A. Calin, C. Balan, and M. Wilhelm, 2007, Separation of the nonlinear oscillatory response into a superposition of linear, strain hardening, strain softening, and wall slip response, Macromolecules 40, 4250-4259.
18. Landau, L.D., and E.M. Lifshitz, 1976, Mechanics, Elsevier Science, Oxford.
19. Lodge, S., 1964, Elastic Liquids: An Introductory Vector Treatment of Finite-Strain Polymer Rheology, Academic Press, London and New York.
20. Middleman, S., 1998, An Introduction to Fluid Mechanics: Principles of Analysis and Design, Wiley, New York.
21. Noll, W., 1958, A mathematical theory of the mechanical behavior of continuous media, Arch. Ration. Mech. Anal. 2, 197-226.
22. O'Neil, B., 2006, Elementary Differential Geometry, Elsevier Academic Press, California.
23. Schausberger, A., G. Schindlauer, and H. Janeschitz-Kriegl, 1985, Linear elasto-viscous properties of molten standard polystyrenes. I. Presentation of complex moduli; Role of short range structural parameters, Rheol. Acta 24, 220-227.
24. Wilhelm, M., D. Maring, and H.W. Spiess, 1998, Fourier-transform rheology, Rheol. Acta 37, 399-405.
25. Wilhelm, M., P. Reinheimer, and M. Ortseifer, 1999, High sensitive fourier-transform rheology, Rheol. Acta 38, 349-356.
26. Wilhelm, M., P. Reinheimer, M. Ortseifer, T. Neidhofer, and H.-W. Spiess, 2000, The crossover between linear and non-linear mechanical behavior in polymer solutions as detected by Fourier- transform Rheology, Rheol. Acta 39, 241-246.