Skip to main content

Large Amplitude Oscillatory Shear Applications for the Characterization of Dispersed Systems

  • Chapter
  • First Online:

Abstract

The mechanical properties of dispersed systems, such as suspensions, emulsions and foams, have been studied for many years by oscillatory shear experiments in the linear regime using material functions as for example the frequency dependent storage and loss modulus. In the context of oscillatory shear tests, the linear regime is defined as the range of strain amplitudes where both excitation and response wave signals are sinusoidal and their amplitudes are proportional to each other. In this regime the connection between the material functions and the dispersed system’s microstructure is well understood. However, dispersed systems are often processed or applied at conditions, where the linear regime is easily exceeded and the storage and loss moduli become insufficient to describe the material’s mechanical properties. In addition, the nonlinear regime opens up enhanced characterization possibilities. Consequently, experimental protocols for Large Amplitude Oscillatory Shear (LAOS) have been developed to investigate and quantify this nonlinear behavior. In the following chapter we present basic theoretical descriptions of LAOS experiments, address technical aspects of the technique for systems with low viscosity and discuss three applications to dispersed systems: First, LAOS experiments were used to modify the droplet morphology in a dilute polymer blend which gave information about the ratio of droplet radius to the interfacial tension in the system. Second, LAOS experiments were used to test the predictive capabilities of the schematic MCT model for dense colloidal suspensions under nonlinear deformation. Third, the yielding behavior of a colloidal nanoemulsion gel under oscillatory shear was investigated and the results were combined with a structural analysis using ultra-small angle neutron scattering. The two techniques allowed to propose a detailed microstructural mechanism for yielding of the gel and revealed that large scale inhomogeneities play a significant role for its mechanical properties.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD   109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Bae J-E, Lee M, Cho KS, Seo KH, Kang D-G (2013) Comparison of stress-controlled and strain-controlled rheometers for large amplitude oscillatory shear. Rheol Acta 52:841–857

    Article  Google Scholar 

  2. Batchelor G (1970) The stress system in a suspension of force-free particles. J Fluid Mech 41:545–570

    Article  MATH  MathSciNet  Google Scholar 

  3. Brader JM, Siebenbürger M, Ballauff M, Reinheimer K, Wilhelm M, Frey SJ, Weysser F, Fuchs M (2010) Nonlinear response of dense colloidal suspensions under oscillatory shear: mode-coupling theory and fourier transform rheology experiments. Phys Rev E 82:061401

    Article  Google Scholar 

  4. Brummer R (2006) Rheology essentials of cosmetic and food emulsions. Springer, New York

    Google Scholar 

  5. Carotenuto C, Grosso M, Maffettone PL (2008) Fourier transform rheology of dilute immiscible polymer blends: a novel procedure to probe blend morphology. Macromolecules 41:4492–4500

    Article  Google Scholar 

  6. Chan HK, Mohraz A (2012) Two-step yielding and directional strain-induced strengthening in dilute colloidal gels. Phys Rev E 85:041403

    Article  Google Scholar 

  7. Coussot P (2005) Rheometry of pastes, suspensions, and granular materials. Wiley, London

    Book  Google Scholar 

  8. Dealy JM, Larson RG (2006) Structure and rheology of molten polymers. Hanser, München

    Book  Google Scholar 

  9. Dodge JS, Krieger IM (1971) Oscillatory shear of nonlinear fluids I. Preliminary investigation. Trans Soc Rheol 15:589–601

    Article  Google Scholar 

  10. van Dusschoten D, Wilhelm M (2001) Increased torque transducer sensitivity via oversampling. Rheol Acta 40:295–299

    Google Scholar 

  11. Franck A (2003) Measuring structure of low viscosity fluids in oscillation using rheometers with and without a separate torque transducer. Ann Trans Nord Rheol Soc 11, RH090

    Google Scholar 

  12. Giacomin AJ, Dealy JM (1998) Rheological measurement. In: Collyer AA, Clegg D (eds) Using large-amplitude oscillatory shear. Chapman Hall, London, pp 327–353

    Google Scholar 

  13. Giacomin AJ, Samurkas T, Dealy JM (1989) A novel sliding plate rheometer for molten plastics. Polym Eng Sci 29:499–504

    Article  Google Scholar 

  14. Gibaud T, Frelat D, Manneville S (2010) Heterogeneous yielding dynamics in a colloidal gel. Soft Matter 6:3482–3488

    Article  Google Scholar 

  15. Grace HP (1982) Dispersion phenomena in high viscosity immiscible fluid systems and and application of static mixers as dispersion devices in such systems. Chem Eng Commun 14:225–277

    Article  Google Scholar 

  16. Grosso M, Maffettone PL (2007) A new methodology for the estimation of drop size distributions of dilute polymer blends based on LAOS flows. J Non-Newton Fluid 143:48–58

    Article  MATH  Google Scholar 

  17. Guido S, Minale M, Maffettone PL (2000) Drop shape dynamics under shear-flow reversal. J Rheol 44:1385–1399

    Article  Google Scholar 

  18. Helgeson ME, Moran SE, An HZ, Doyle PS (2012) Mesoporous organohydrogels from thermogelling photocrosslinkable nanoemulsions. Nat Mater 11:344–352

    Article  Google Scholar 

  19. Hsiao LC, Newman RS, Glotzer SC, Solomon MJ (2012) Role of isostaticity and load-bearing microstructure in the elasticity of yielded colloidal gels. Proc Natl Acad Sci USA 109:16029–16034

    Article  Google Scholar 

  20. Hyun K, Wilhelm M (2009) Establishing a new mechanical nonlinear coefficient Q from FT-rheology: first investigation of entangled linear and comb polymer model systems. Macromolecules 42:411–422

    Article  Google Scholar 

  21. Hyun K, Wilhelm M, Klein CO, Cho KS, Nam JG, Ahn KH, Lee SJ, Ewoldt RH, McKinley GH (2011) A review of nonlinear oscillatory shear tests: analysis and application of large amplitude oscillatory shear (LAOS). Prog Polym Sci 36:1697–1753

    Article  Google Scholar 

  22. Kim J, Gao Y, Hebebrand C, Peirtsegaele E, Helgeson ME (2013) Polymer-surfactant complexation as a generic route to responsive viscoelastic nanoemulsions. Soft Matter 9:6897–6910

    Article  Google Scholar 

  23. Kim J, Merger D, Wilhelm M, Helgeson ME (2014) Microstructure and nonlinear signatures of yielding in a heterogeneous colloidal gel under large amplitude oscillatory shear. J Rheol 58(5):1359–1390

    Google Scholar 

  24. Kob W (2002) Supercooled liquids, the glass transition, and computer simulations. Les Houches 2002 Summer School—Session LXXVII

    Google Scholar 

  25. Koumakis N, Petekidis G (2011) Two step yielding in attractive colloids: transition from gels to attractive glasses. Soft Matter 7:2456–2470

    Article  Google Scholar 

  26. Larson RG (1999) The structure and rheology of complex fluids. Oxford University Press, Oxford

    Google Scholar 

  27. Läuger J, Wollny K, Huck S (2002) Direct strain oscillation: a new oscillatory method enabling measurements at very small shear stresses and strains. Rheol Acta 41:356–361

    Article  Google Scholar 

  28. Laurati M, Egelhaaf SU, Petekidis G (2011) Nonlinear rheology of colloidal gels with intermediate volume fraction. J Rheol 55:673–706

    Article  Google Scholar 

  29. Macosko CW (1994) Rheology principles, measurements, and applications. Wiley-VCH, Weinheim

    Google Scholar 

  30. Maffettone P, Minale P (1998) Equation of change for ellipsoidal drops in viscous flow. J Non-Newton Fluid 78:227–241

    Article  MATH  Google Scholar 

  31. Merger D, Wilhelm M (2014) Intrinsic nonlinearity from LAOStrain—experiments on various strain and stress-controlled rheometers: a quantitative comparison. Rheol Acta 53(8):621–634

    Google Scholar 

  32. Pal R (2006) Rheology of particulate dispersions and composites. CRC Press, Boca Raton

    Book  Google Scholar 

  33. Pignon F, Magnin A, Piau J-M, Cabane B, Lindner P, Diat O (1997) Yield stress thixotropic clay suspension: Investigations of structure by light, neutron, and X-ray scattering. Phys Rev E 56:3281–3289

    Article  Google Scholar 

  34. Pipkin AC (1972) Lectures in viscoelastic theory. Springer, New York

    Google Scholar 

  35. Rajaram B, Mohraz A (2011) Dynamics of shear-induced yielding and flow in dilute colloidal gels. Phys Rev E 84:011405

    Article  Google Scholar 

  36. Reinheimer K, Grosso M, Hetzel F, Kübel J, Wilhelm M (2012) Fourier transform rheology as an innovative morphological characterization technique for the emulsion volume average radius and its distribution. J Colloid Interface Sci 380:201–212

    Article  Google Scholar 

  37. Reinheimer K, Grosso M, Wilhelm M (2011) Fourier transform rheology as a universal non-linear mechanical characterization of droplet size and interfacial tension of dilute monodisperse emulsions. J Colloid Interface Sci 360:818–825

    Article  Google Scholar 

  38. Rogers SA, Erwin BM, Vlassopoulos D, Cloitre M (2011) A sequence of physical processes determined and quantified in LAOS: application to a yield stress fluid. J Rheol 55:435

    Article  Google Scholar 

  39. Shao Z, Negi AS, Osuji CO (2013) Role of interparticle attraction in the yielding response of microgel suspensions. Soft Matter 9:5492–5500

    Article  Google Scholar 

  40. Siebenbürger M, Fuchs M, Winter H, Ballauff M (2009) Viscoelasticity and shear flow of concentrated, noncrystallizing colloidal suspensions: comparison with mode-coupling theory. J Rheol 53:707–726

    Article  Google Scholar 

  41. Spalla O, Lyonnard S, Testard F (2003) Analysis of the small-angle intensity scattered by a porous and granular medium. J Appl Crystallogr 36:338–347

    Article  Google Scholar 

  42. van der Vaart K, Rahmani Y, Zargar R, Hu Z, Bonn D, Schall P (2013) Rheology of concentrated soft and hard-sphere suspensions. J Rheol 57:1195–1209

    Article  Google Scholar 

  43. Vermant J, Solomon MJ (2005) Flow—induced structure in colloidal suspensions. J Phys Condens Matter 17:187–216

    Article  Google Scholar 

  44. Wilhelm M (2002) Fourier-transform rheology. Macromol Mater Eng 287:83–105

    Article  Google Scholar 

  45. Wilhelm M, Reinheimer K, Kübel J (2012) Optimizing the sensitivity of FT-rheology to quantify and differentiate for the first time the nonlinear mechanical response of dispersed beer foams of light and dark beer. Z Phys Chem 226:547–567

    Article  Google Scholar 

  46. Wilhelm M, Reinheimer P, Ortseiferer M, Neidhöfer T, Spiess HW (2000) The crossover between linear and non-linear mechanical behavior in polymer solutions as detected by fouriertransform rheology. Rheol Acta 39:241–246

    Article  Google Scholar 

  47. Yu W, Bousmina M, Grmela M, Zhou C (2002) Modeling of oscillatory shear flow of emulsions under small and large deformation fields. J Rheol 46:1401–1418

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Wilhelm .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Merger, D. et al. (2015). Large Amplitude Oscillatory Shear Applications for the Characterization of Dispersed Systems. In: Kind, M., Peukert, W., Rehage, H., Schuchmann, H. (eds) Colloid Process Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-15129-8_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-15129-8_6

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-15128-1

  • Online ISBN: 978-3-319-15129-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics