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Large amplitude oscillatory shear (LAOS) on thixotropic materials Speaker: Sun, Weixiang Advisor: Prof. Tong, Zhen Research Institute of Materials Science, South China University of Technology, Guangzhou (510641), P. R. China
Locations
Group members Prof. Zhen Tong ( 童真) Ruiwen Shu ( 疏瑞文 ) Yanrui Yang ( 杨燕瑞 ) Weixiang Sun ( 孙尉翔 ) May, 2010
Contents ,[object Object],[object Object],[object Object],[object Object]
Viscoelastic materials as a  system ,[object Object],G ( t )
Viscoelastic materials as a  system ,[object Object],[object Object],G ( t )
Viscoelastic materials as a  system ,[object Object],[object Object],[object Object],G ( t )
Viscoelastic materials as a  system G ( t ) Fourier transform G * ( ω ) =  G’  +  iG’’ Oscillatory shear
The structure of Laponite gel charged discs suspension in water   House of Cards a synthetic hectorite,  [Mg 5.34 Li 0.66 Si 8 O 20 (OH) 4 ]Na 0.66 Layer size: 30 nm in diameter & 1 nm in thickness t w
Rheology of Laponite gel ,[object Object],[object Object],[object Object],t w G Sample loading Pre-shear Aging
Nonlinear  viscoelasticity G ( t, γ ) Fourier transform G * ( ω , γ )
Dealing with nonlinear viscoelasticity ,[object Object],σ 1 σ 3 σ 5 σ 7
Dealing with nonlinear viscoelasticity ,[object Object],σ 1 σ 3 σ 5 σ 7 Medium Amplitude Oscillatory shear (MAOS): avoid varying number of harmonics K, Hyun  et al.   J. Rheol.   2007 ,  51 , 1319-1342
Dealing with nonlinear viscoelasticity ,[object Object],R. Ewoldt  et al. J. Rheol.   2008 ,  52 , 1427-1458
Dealing with nonlinear viscoelasticity ,[object Object],R. Ewoldt  et al. J. Rheol.   2008 ,  52 , 1427-1458 Pedal mucus of snails
ARES in our lab ARES RFS Transducers: 20g & 1K FRT Software: TA Orchestrator 7.2.1, “Arbitrary Waveshape Tests”.
LAOS of time stable gel ,[object Object],t w G Sample loading Pre-shear Aging LAOS
LAOS of time stable gel The windows for MAOS is small. Laponite 2.0 wt% NaCl 5.0 mM Fourier transform rheology:
LAOS of time stable gel Laponite 2.0 wt% NaCl 5.0 mM Fourier transform rheology: Plateau values
LAOS of time stable gel MCT prediction Fourier transform rheology: J. M. Brader  et al.   Phys. Rev. E , 2010,  82 , 061401. Plateau values
LAOS of time stable gel Fourier transform rheology: Laponite 2.0 wt% Varying NaCl concentrations Effect of salt concentration γ 0  = 500%
LAOS of time stable gel Fourier transform rheology: Styrene-BA particle suspension Effect of salt concentration S. Kallus  et al.   Rheol. Acta , 2001,  40 , 552-559.
LAOS of time stable gel Fourier transform rheology: Laponite 2.0 wt% NaCl 6.0 mM Maxima in higher harmonics.
LAOS of time stable gel Fourier transform rheology: Maxima in higher harmonics. V. Carrier and G. Petekidis,  J. Rheol. , 2009,  53 , 245-273. 1 Hz 10 Hz Occurs at increasing  ω I 3/1 I 5/1 I 7/1 % PS@PNIPAM suspension
LAOS of time stable gel Fourier transform rheology: Maxima in higher harmonics. Occurs at decreasing particle concentrations I 3/1  (%) V. Carrier and G. Petekidis,  J. Rheol. , 2009,  53 , 245-273. PS@PNIPAM suspension φ v ↑
LAOS of time stable gel γ 0  = 5 % γ 0  = 250 % The gel is turned into viscous fluids under LAOS. Lissajous figures: Laponite 2 wt% NaCl 5 mM
LAOS of time stable gel Lissajous figure parameters: The proposed parameters reproduce the trend of the fundamental harmonic. G M G L
LAOS of time stable gel Lissajous figure parameters: All but the fundamental harmonics are extracted. W. Sun  et al. ,  Polymer , 2011,  52 , 1402-1409.
LAOS of time stable gel Lissajous figure parameters: W. Sun  et al. ,  Polymer , 2011,  52 , 1402-1409. ,[object Object],[object Object]
LAOS of time stable gel Problems in current method of obtaining  G L ,  G M , etc.: Software: MITlaos It uses the Fourier transformed results to calculate  G M , etc. Based on a limited number of harmonics
Time-variant  viscoelastic materials G ( t ; t w ) Fourier transform G * ( ω ; t w )
Time-variant  viscoelastic materials G ( t ; t w ) Fourier transform G * ( ω ; t w ) ,[object Object],[object Object],[object Object],[object Object]
Time-variant  viscoelastic materials G ( t ; t w ) Fourier transform G * ( ω ; t w ) Shortest time of data acquisition: one cycle (2 π / ω ).
Dealing with time-variant viscoelasticity Traditional frequency sweep: t w G * ( ω ; t w ) … ω t w1 t w2 t w3 Not fast enough
Dealing with time-variant viscoelasticity E. E. Holly  et al.   J. Non-Newtonian Fluid Mech. , 1988,  27 , 17-26. Multiwave method – valid only under linear viscoelastic condition. O ( ω min -1 ) <<  O ( t w )
Dealing with time-variant viscoelasticity J. C. Scanlan  et al.   Macromolecules , 1991,  24 , 47-54. O ( ω min -1 ) <<  O ( t w ) t w ω Dynamic frequency sweep direction Continuous frequency sweep: Data interpolation t w1 t w2 t w3 ω G * ( ω ) ω G * ( ω ) ω G * ( ω )
Dealing with time-variant viscoelasticity t w Δ t  > 2 π / ω   (one cycle) O ( ω min -1 ) <<  O ( t w ) Repeated time sweep:
Dealing with time-variant viscoelasticity Repeated time sweep: ω ↑   The phenomena should be exactly repeated at each  ω . O ( ω min -1 ) <<  O ( t w ) A. S. Negi and C. O. Osuji,  Phys. Rev. E , 2010,  82 , 031404. Laponite gelation
Rheology of Laponite gel ,[object Object],t w G Sample loading Pre-shear Aging LAOS time sweep
LAOS time sweep of Laponite gel Aging occurs at large strains γ 0  = 1 ~ 20% ω   = 5.0 rad/s Laponite 2.0 wt% NaCl 6.0 mM
LAOS time sweep of Laponite gel Yielding occurs earlier at larger strains Laponite 2.0 wt% NaCl 6.0 mM γ 0  = 1 ~ 20% ω   = 5.0 rad/s
LAOS time sweep of Laponite gel Laponite 2.0 wt% Varying NaCl concentrations Times and strains of  G’ ,  G’’  crossover:
LAOS time sweep of Laponite gel What about the higher harmonics? The NonLinMon parameter in Orchestrator is  I 3/1 . γ 0  = 1 ~ 20% ω   = 5.0 rad/s
LAOS time sweep of Laponite gel What about the higher harmonics? The Arbitrary Waveshape Test of Orchestrator is not optimized for prolonged tests.
LAOS time sweep of Laponite gel ,[object Object],[object Object],[object Object],The raw data manipulation is formidable manually!
LAOS time sweep of Laponite gel Just-in-time calculation and saving of  I n /1  data. ,[object Object],[object Object],[object Object],[object Object]
Thank you! Open for questions …
4 月份做的事 ,[object Object],[object Object],[object Object],[object Object]
把 Laponite 当成半径 a  = 15 nm = 1.5 ×10 -8 m 的球体来考虑。 范德华力: , x  =  h /2 a 位阻作用: , ( h  < 2 δ ) 双电层重叠:
Scheutjens-Fleer ,[object Object],[object Object],[object Object],[object Object],吸附浓度 平均回转半径
Langevin 函数
Langmuir 吸附
DLVO Total

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LAOS for thixotropy

  • 1. Large amplitude oscillatory shear (LAOS) on thixotropic materials Speaker: Sun, Weixiang Advisor: Prof. Tong, Zhen Research Institute of Materials Science, South China University of Technology, Guangzhou (510641), P. R. China
  • 3. Group members Prof. Zhen Tong ( 童真) Ruiwen Shu ( 疏瑞文 ) Yanrui Yang ( 杨燕瑞 ) Weixiang Sun ( 孙尉翔 ) May, 2010
  • 4.
  • 5.
  • 6.
  • 7.
  • 8. Viscoelastic materials as a system G ( t ) Fourier transform G * ( ω ) = G’ + iG’’ Oscillatory shear
  • 9. The structure of Laponite gel charged discs suspension in water House of Cards a synthetic hectorite, [Mg 5.34 Li 0.66 Si 8 O 20 (OH) 4 ]Na 0.66 Layer size: 30 nm in diameter & 1 nm in thickness t w
  • 10.
  • 11. Nonlinear viscoelasticity G ( t, γ ) Fourier transform G * ( ω , γ )
  • 12.
  • 13.
  • 14.
  • 15.
  • 16. ARES in our lab ARES RFS Transducers: 20g & 1K FRT Software: TA Orchestrator 7.2.1, “Arbitrary Waveshape Tests”.
  • 17.
  • 18. LAOS of time stable gel The windows for MAOS is small. Laponite 2.0 wt% NaCl 5.0 mM Fourier transform rheology:
  • 19. LAOS of time stable gel Laponite 2.0 wt% NaCl 5.0 mM Fourier transform rheology: Plateau values
  • 20. LAOS of time stable gel MCT prediction Fourier transform rheology: J. M. Brader et al. Phys. Rev. E , 2010, 82 , 061401. Plateau values
  • 21. LAOS of time stable gel Fourier transform rheology: Laponite 2.0 wt% Varying NaCl concentrations Effect of salt concentration γ 0 = 500%
  • 22. LAOS of time stable gel Fourier transform rheology: Styrene-BA particle suspension Effect of salt concentration S. Kallus et al. Rheol. Acta , 2001, 40 , 552-559.
  • 23. LAOS of time stable gel Fourier transform rheology: Laponite 2.0 wt% NaCl 6.0 mM Maxima in higher harmonics.
  • 24. LAOS of time stable gel Fourier transform rheology: Maxima in higher harmonics. V. Carrier and G. Petekidis, J. Rheol. , 2009, 53 , 245-273. 1 Hz 10 Hz Occurs at increasing ω I 3/1 I 5/1 I 7/1 % PS@PNIPAM suspension
  • 25. LAOS of time stable gel Fourier transform rheology: Maxima in higher harmonics. Occurs at decreasing particle concentrations I 3/1 (%) V. Carrier and G. Petekidis, J. Rheol. , 2009, 53 , 245-273. PS@PNIPAM suspension φ v ↑
  • 26. LAOS of time stable gel γ 0 = 5 % γ 0 = 250 % The gel is turned into viscous fluids under LAOS. Lissajous figures: Laponite 2 wt% NaCl 5 mM
  • 27. LAOS of time stable gel Lissajous figure parameters: The proposed parameters reproduce the trend of the fundamental harmonic. G M G L
  • 28. LAOS of time stable gel Lissajous figure parameters: All but the fundamental harmonics are extracted. W. Sun et al. , Polymer , 2011, 52 , 1402-1409.
  • 29.
  • 30. LAOS of time stable gel Problems in current method of obtaining G L , G M , etc.: Software: MITlaos It uses the Fourier transformed results to calculate G M , etc. Based on a limited number of harmonics
  • 31. Time-variant viscoelastic materials G ( t ; t w ) Fourier transform G * ( ω ; t w )
  • 32.
  • 33. Time-variant viscoelastic materials G ( t ; t w ) Fourier transform G * ( ω ; t w ) Shortest time of data acquisition: one cycle (2 π / ω ).
  • 34. Dealing with time-variant viscoelasticity Traditional frequency sweep: t w G * ( ω ; t w ) … ω t w1 t w2 t w3 Not fast enough
  • 35. Dealing with time-variant viscoelasticity E. E. Holly et al. J. Non-Newtonian Fluid Mech. , 1988, 27 , 17-26. Multiwave method – valid only under linear viscoelastic condition. O ( ω min -1 ) << O ( t w )
  • 36. Dealing with time-variant viscoelasticity J. C. Scanlan et al. Macromolecules , 1991, 24 , 47-54. O ( ω min -1 ) << O ( t w ) t w ω Dynamic frequency sweep direction Continuous frequency sweep: Data interpolation t w1 t w2 t w3 ω G * ( ω ) ω G * ( ω ) ω G * ( ω )
  • 37. Dealing with time-variant viscoelasticity t w Δ t > 2 π / ω (one cycle) O ( ω min -1 ) << O ( t w ) Repeated time sweep:
  • 38. Dealing with time-variant viscoelasticity Repeated time sweep: ω ↑ The phenomena should be exactly repeated at each ω . O ( ω min -1 ) << O ( t w ) A. S. Negi and C. O. Osuji, Phys. Rev. E , 2010, 82 , 031404. Laponite gelation
  • 39.
  • 40. LAOS time sweep of Laponite gel Aging occurs at large strains γ 0 = 1 ~ 20% ω = 5.0 rad/s Laponite 2.0 wt% NaCl 6.0 mM
  • 41. LAOS time sweep of Laponite gel Yielding occurs earlier at larger strains Laponite 2.0 wt% NaCl 6.0 mM γ 0 = 1 ~ 20% ω = 5.0 rad/s
  • 42. LAOS time sweep of Laponite gel Laponite 2.0 wt% Varying NaCl concentrations Times and strains of G’ , G’’ crossover:
  • 43. LAOS time sweep of Laponite gel What about the higher harmonics? The NonLinMon parameter in Orchestrator is I 3/1 . γ 0 = 1 ~ 20% ω = 5.0 rad/s
  • 44. LAOS time sweep of Laponite gel What about the higher harmonics? The Arbitrary Waveshape Test of Orchestrator is not optimized for prolonged tests.
  • 45.
  • 46.
  • 47. Thank you! Open for questions …
  • 48.
  • 49. 把 Laponite 当成半径 a = 15 nm = 1.5 ×10 -8 m 的球体来考虑。 范德华力: , x = h /2 a 位阻作用: , ( h < 2 δ ) 双电层重叠:
  • 50.