Textile Science and Engineering (한국섬유공학회지)

The Korean Fiber Society (한국섬유공학회)
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Discrete Fourier Transform Analysis to Characterize the Large Amplitude Oscillatory Shear (LAOS) Flow Behavior of Viscoelastic Polymer Liquids

불연속 푸리에 변환 해석에 의한 점탄성 고분자 액체의 대진폭 전단유동거동 연구

  • Chang, Gap-Shik (Reliability Assessment Team, FITI Testing & Research Institute) ;
  • Ahn, Hye-Jin (Department of Organic Material Science and Engineering, Pusan National University) ;
  • Song, Ki-Won (Department of Organic Material Science and Engineering, Pusan National University)
  • 장갑식 (FITI 시험연구원 신뢰성평가팀) ;
  • 안혜진 (부산대학교 공과대학 유기소재시스템공학과) ;
  • 송기원 (부산대학교 공과대학 유기소재시스템공학과)
  • Received : 2016.09.11
  • Accepted : 2016.09.30
  • Published : 2016.10.31
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Abstract

The objective of the present study is to systematically characterize the nonlinear viscoelastic behavior of concentrated polymer systems in large amplitude oscillatory shear (LAOS) flow fields by means of discrete Fourier transform (DFT) analysis. Using an Advanced Rheometric Expansion System (ARES), the dynamic viscoelastic behavior of aqueous poly(ethylene oxide) (PEO) solutions with various molecular weights and different concentrations has been investigated with several fixed strain amplitudes and constant angular frequencies. The nonlinear viscoelastic functions and the degree of nonlinearity were derived from the Fourier spectra of stress responses, and then the nonlinear behavior was interpreted by the use of 3D and contour plots, respectively. The effects of strain amplitude and angular frequency on the nonlinear viscoelastic behavior were nextly discussed in depth. In addition, the strain limits of linear viscoelastic response were determined from the ratio of harmonic contributions, and then the validity of Pipkin diagram with regard to characteristic time was evaluated for all PEO solutions. The main findings obtained from this study are summarized as follows: (1) At small strain amplitudes, the influence of the first harmonic contribution is dominant. As the strain amplitude becomes larger, however, the effect of higher odd harmonic contributions is increased, resulting in an occurrence of a nonlinear viscoelastic behavior. (2) The degree of nonlinearity is increased with an increase in strain amplitude. This is also increased with increasing angular frequency until reaching the maximum value at a certain angular frequency and then decreased with a further increase in angular frequency. (3) The Pipkin diagram with regard to characteristic time is a very effective method to explore the nonlinear regime of viscoelastic polymer liquids in LAOS deformations.

Keywords

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