A sequence of physical processes determined and quantified in large-amplitude oscillatory shear (LAOS): Application to theoretical nonlinear models

Journal of Rheology

Volumn 56, Issue 1, 2012, Pages 1-25

  Rogers, Simon A ^a   Lettinga, M Paul ^a  

^a FORSCHUNGSZENTRUM JÜLICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CHEBYSHEV; FOURIER COEFFICIENTS; GIESEKUS MODEL; LINEAR-ALGEBRAIC; MATERIAL YIELD; MODEL RESPONSE; NON-LINEAR MODEL; NONLINEAR WAVEFORM; OSCILLATORY SHEAR; PHYSICAL PROCESS; THEORETICAL MODELS; VISCOUS STRESS;

ALGEBRA; FOURIER ANALYSIS; FOURIER TRANSFORMS; SHEAR STRESS; VISCOUS FLOW;

MODELS;

EID: 84855937714     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.3662962     Document Type: Article

References (21)

1. Bird, R., R. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids: Volume 1 Fluid Mechanics (Wiley, New York, 1987).
2. Cho, K. S., K. H. Ahn, and S. J. Lee, A geometrical interpretation of large amplitude oscillatory shear response., J. Rheol. 49, 747-758 (2005). 10.1122/1.1895801 (Pubitemid 43126815)
3. Cho, K. S., K.-W. Song, and G.-S. Chang, Scaling relations in nonlinear viscoelastic behavior of aqueous PEO solutions under large amplitude oscillatory shear flow., J. Rheol. 54 (1), 27-63 (2010). 10.1122/1.3258278
4. Dodge, J. S., and I. M. Krieger, Oscillatory shear of nonlinear fluids I. Preliminary investigation., Trans. Soc. Rheol. 15, 589-601 (1971). 10.1122/1.549236
5. Ewoldt, R., A. Hosoi, and G. McKinley, New measures for characterizing nonlinear viscoelasticity in large amplitude oscillatory shear., J. Rheol. 52 (6), 1427-1458 (2008). 10.1122/1.2970095
6. Ewoldt, R. H., and G. H. McKinley, On secondary loops in LAOS via self-intersection of Lissajous-Bowditch curves., Rheol. Acta 49, 213-219 (2010). 10.1007/s00397-009-0408-2
7. Ewoldt, R. H., P. Winter, J. Maxey, and G. H. McKinley, Large amplitude oscillatory shear of pseudoplastic and elastoviscoplastic materials., Rheol. Acta 49, 191-212 (2010). 10.1007/s00397-009-0403-7
8. Ferry, J. D., Viscoelastic Properties of Polymers (Wiley, New York, 1980).
9. Harris, J., and K. Bogie, The experimental analysis of non-linear waves in mechanical systems., Rheol. Acta. 6 (1), 3-5 (1967). 10.1007/BF01968375
10. Herschel, W. H., and R. Bulkley, Konsistenzmessungen von Gummi-Benzollosungen., Kolloid-Z. 39, 291-300 (1926). 10.1007/BF01432034
11. Hyun, K., and M. Wilhelm, Establishing a new mechanical nonlinear coefficient Q from FT-rheology: First investigation of entangled linear and comb polymer model systems., Macromolecules 42, 411-422 (2009). 10.1021/ma8017266
12. Klein, C., H. W. Spiess, A. Calin, C. Balan, and M. Wilhelm, Separation of the nonlinear oscillatory response into a superposition of linear, strain hardening, strain softening and wall slip response., Macromolecules 40, 4250-4259 (2007). 10.1021/ma062441u (Pubitemid 47012581)
13. Philippoff, W., Vibrational measurements with large amplitudes., Trans. Soc. Rheol. 10, 317-334 (1966). 10.1122/1.549049
14. Renou, F., J. Stellbrink, and G. Petekidis, Yielding processes in a colloidal glass of soft star-like micelles under large amplitude oscillatory shear (LAOS)., J. Rheol. 54 (6), 1219-1242 (2010). 10.1122/1.3483610
15. Rogers, S., and D. Vlassopoulos, Frieze group analysis of asymmetric response to large amplitude oscillatory shear., J. Rheol. 54 (4), 859-880 (2010). 10.1122/1.3445064
16. Rogers, S. A., B. M. Erwin, D. Vlassopoulos, and M. Cloitre, A sequence of physical processes determined and quantified in LAOS: Application to a yield stress fluid., J. Rheol. 55, 435 (2011). 10.1122/1.3544591
17. Tee, T. T., and J. M. Dealy, Nonlinear viscoelasticity of polymer melts., J. Rheol. 19, 595-615 (1975). 10.1122/1.549387
18. Vittorias, I., M. Parkinson, K. Klimke, B. Debbaut, and M. Wilhelm, Detection and quantification of industrial polyethylene branching topologies via Fourier-transform rheology, NMR and simulation using the Pom-pom model., Rheol. Acta 46 (3), 321 (2007). 10.1007/s00397-006-0111-5
19. Wilhelm, M., Fourier-Transform rheology., Macromol. Mater. Eng. 287, 83-105 (2002). 10.1002/1439-2054(20020201)287:21.0.CO;2-F
20. Yoshimura, A. S., and R. K. Prud'homme, Response of an elastic Bingham fluid to oscillatory shear., Rheol. Acta 26 (5), 428-436 (1987). 10.1007/BF01333843
21. Yu, W., P. Weng, and C. Zhou, General stress decomposition in nonlinear oscillatory shear flow., J. Rheol. 53 (1), 215-238 (2009). 10.1122/1.3037267