DOI QR코드

DOI QR Code

Analytical Approximation of Relaxation Time Spectrum from Dynamic Creep Compliance

동적 크리프 컴플라이언스를 이용한 완화시간분포의 근사계산법

  • Choi, Joong Hwan (Department of Polymer and Fiber Examination, Korean Intellectual Property Office)
  • 최중환 (특허청 고분자섬유심사과)
  • Received : 2014.08.26
  • Accepted : 2014.10.05
  • Published : 2014.10.31

Abstract

The relaxation time spectrum is a very effective parameter for transforming material functions even with a limited amount of data. The spectrum also helps in understanding the relaxation behavior of polymers at the molecular scale. In this study, a relaxation time spectrum based on Marin-Graessley's dynamic compliance model was calculated using Fuosso-Kirkwood's complex analysis. The resulting model could successfully describe the viscoelastic behavior of mono-disperse polystyrene. However, it was clear that a more effective numerical analysis method was needed to obtain more accurate parameter values.

Keywords

References

  1. M. Baumgaertel and H. H. Winter, “Determination of Discrete Relaxation and Retardation Time Spectra from Dynamic Mechanical Data”, Rheol Acta, 1989, 28, 511-519. https://doi.org/10.1007/BF01332922
  2. J. Honerkamp and J. Weese, “Determination of the Relaxation Spectrum by a Regularization Method”, Macromolecules, 1989, 22, 4372-4377. https://doi.org/10.1021/ma00201a036
  3. J. Honerkamp and J. Weese, “A Nonlinear Regularization Method for the Calculation of Relaxation Spectra”, Rheol Acta, 1993, 32, 65-73. https://doi.org/10.1007/BF00396678
  4. K. S. Cho and G. W. Park, “Fixed-Point Iteration for Relaxation Spectrum from Dynamic Mechanical Data”, J Rheol, 2013, 57, 647-678. https://doi.org/10.1122/1.4789786
  5. K. S. Cho, “Power Series Approximations of Dynamic Moduli and Relaxation Spectrum”, J Rheol, 2013, 57, 679-697. https://doi.org/10.1122/1.4789787
  6. R. M. Fuosso and J. G. Kirkwood, "Electrical Properties of Solids. VIII. Dipole Moments in Polyvinyl Chloride-Diphenyl Systems", J Am Chem Soc, 1941, 63, 385-394. https://doi.org/10.1021/ja01847a013
  7. A. R. Davies and R. S. Anderssen, “Sampling Localization in Determining the Relaxation Spectrum”, J Non-Newtonian Fluid Mech, 1997, 73, 163-179. https://doi.org/10.1016/S0377-0257(97)00056-6
  8. G. Marin and W. W. Graessley, “Viscoelastic Properties of High Molecular Weight Polymers in the Molten State I. Study of Narrow Molecular Weight Distribution Samples”, Rheol Acta, 1977, 16, 527-533. https://doi.org/10.1007/BF01525652
  9. M. Baumgaertel, A. Schausberger, and H. H. Winter, “The Relaxation of Polymers with Linear Flexible Chains of Uniform Length”, Rheol Acta, 1990, 29, 400-408. https://doi.org/10.1007/BF01376790
  10. A. Schausberger, G. Schindlauer, and H. Janeschitz-Kriegl, “Linear Elastico-Viscous Properties of Molten Standard Polystyrenes. I. Presentation of Complex Moduli; Role of Short Range Structural Parameters”, Rheol Acta, 1985, 24, 220-227. https://doi.org/10.1007/BF01332600
  11. M. Doi and S. F. Edwards, "The Theory of Polymer Dynamics", Clarendon Press, Oxford, 1986.