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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)
Publication Information
Korea-Australia Rheology Journal / v.18, no.2, 2006 , pp. 91-98 More about this Journal
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
LAOS; Fourier transform; nonlinear viscoelasticity;
Citations & Related Records

Times Cited By Web Of Science : 7  (Related Records In Web of Science)
Times Cited By SCOPUS : 5
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