Korea-Australia Rheology Journal

The Korean Society of Rheology (한국유변학회)
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Comparison of interpretation methods for large amplitude oscillatory shear response

  • Kim Hyung-Sup (Department of Textile Engineering, Konkuk University) ;
  • Hyun Kyu (School of Chemical and Biological Engineering, Seoul National University) ;
  • Kim Dae-Jin (Center for Academic Links to Industry for Collaborative Evolution, Kyungpook National University) ;
  • Cho Kwang-Soo (Department of Polymer Science, Kyungpook National University)
  • Published : 2006.06.01
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Abstract

We compare FT (Fourier Transform) and SD (Stress Decomposition), the interpretation methods for LAOS (Large Amplitude Oscillatory Shear). Although the two methods are equivalent in mathematics. they are significantly different in numerical procedures. Precision of FT greatly depends on sampling rate and length of data because FT of experimental data is the discrete version of Fourier integral theorem. FT inevitably involves unnecessary frequencies which must not appear in LAOS. On the other hand, SD is free from the problems from which FT suffers, because SD involves only odd harmonics of primary frequency. SD is based on two axioms on shear stress: [1] shear stress is a sufficiently smooth function of strain and its time derivatives; [2] shear stress satisfies macroscopic time-reversal symmetry. In this paper, we compared numerical aspects of the two interpretation methods for LAOS.

Keywords

References

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