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Intrinsic nonlinearity from LAOStrain—experiments on various strain- and stress-controlled rheometers: a quantitative comparison

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Abstract

Strain-controlled large amplitude oscillatory shear (LAOStrain) experiments on a polyisoprene melt and a polyisobutylene solution were conducted on four different rheometers. The results are compared using nonlinear quantities such as the normalized intensity of the third harmonic (I 3/1) and the intrinsic nonlinearity in order to assess the reproducibility of the experiments. Two of the investigated instruments were strain-controlled rheometers, another two, were advanced stress-controlled rheometers. Since the stress-controlled rheometers are able to conduct strain-controlled tests when employing an active deformation control loop, the two different rheometer types could be compared. Experimental details like the gain of the deformation control loop, and the method of temperature control have been shown to play crucial roles in achieving reasonable reproducibility across the different instruments. Furthermore, deviations from the quadratic scaling of I 3/1 with the strain amplitude and the influence of instrument inertia on nonlinear quantities were observed for one of the stress-controlled instruments. The standard deviation of the intrinsic nonlinearity Q 0(ω 0) at a specific angular frequency as determined by measurements on the same instrument was found to be 8 % or lower. The relative deviations of Q 0 across different instruments were instead up to 12 % in the investigated frequency range with an exception for a specific instrument and one of the samples, where the deviation was considerably larger.

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References

  • 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 

  • 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 

  • Cho KS, Hyun K, Ahn KH, Lee SJ (2005) A geometrical interpretation of large amplitude oscillatory shear response. J Rheol 49:747–775

    Article  Google Scholar 

  • Cho KS, Song K-W, Chang G-S (2010) Scaling relations in nonlinear viscoelastic behavior of aqueous peo solutions under large amplitude oscillatory shear flow. J Rheol 54:27–63

    Article  Google Scholar 

  • de Souza Mendes PR, Thompson RL, Alicke AA, Leite RT (2014) The quasilinear large-amplitude viscoelastic regime and its significance in the rheological characterization of soft matter. J Rheol 58:537–561

    Article  Google Scholar 

  • Debbaut B, Burhin H (2002) Large amplitude oscillatory shear and fourier-transform rheology for a high-density polyethylene: experiments and numerical simulation. J Rheol 46:1155–1176

    Article  Google Scholar 

  • Dimitriou CJ, Ewoldt RH, McKinley GH (2013) Describing and prescribing the constitutive response of yield stress fluids using large amplitude oscillatory shear stress (laostress). J Rheol 57:27–70

    Article  Google Scholar 

  • Dodge JS, Krieger IM (1971) Oscillatory shear of nonlinear fluids i. preliminary investigation. Trans Soc Rheol 15:589–601

    Article  Google Scholar 

  • Ewoldt RH (2013) Defining nonlinear rheological material functions for oscillatory shear. J Rheol 57:177–195

    Article  Google Scholar 

  • Ewoldt RH, Bharadwaj NA (2013) Low-dimensional intrinsic material functions for nonlinear viscoelasticity. Rheol Acta 52:201–219

    Article  Google Scholar 

  • Ewoldt RH, Clasen C, Hosoi AE, McKinley GH (2007) Rheological fingerprinting of gastropod pedal mucus and synthetic complex fluids for biomimicking adhesive locomotion. Soft Matter 3:634–643

    Article  Google Scholar 

  • Ewoldt RH, Hosoi AE, McKinley GH (2008) New measures for characterizing nonlinear viscoelasticity in large amplitude oscillatory shear. J Rheol 52:1427–1458

    Article  Google Scholar 

  • 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 

  • Giacomin AJ, Dealy JM (1998) Rheological measurement, chapter using large-amplitude oscillatory shear. Chapman & Hall, pp 327–353

  • Giacomin AJ, Jeyaseelan RS (1995) A constitutive theory for polyolefins in large amplitude oscillatory shear. Polym Eng Sci 35:768–777

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Giacomin AJ, Bird RB, Johnson LM, Mix AW (2011) Large-amplitude oscillatory shear flow from the corotational Maxwell model. J Non-Newtonian Fluid Mech 166:1081–1099

    Article  Google Scholar 

  • Gurnon KA, Wagner NJ (2012) Large amplitude oscillatory shear (laos) measurements to obtain constitutive equation model parameters: Giesekus model of banding and nonbanding wormlike micelles. J Rheol 56:333–351

    Article  Google Scholar 

  • 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 

  • Hyun K, Nam JG, Wilhelm M, Ahn KH, Lee SJ (2003) Nonlinear response of complex fluids under laos (large amplitude oscillatory shear) flow. Korea-Aust Rheol J 15:97–105

    Google Scholar 

  • Hyun K, Nam JG, Wilhelm M, Ahn KH, Lee SJ (2006) Large amplitude oscillatory shear behavior of peo-ppo-peo triblock copolymer solutions. Rheol Acta 45:239–249

    Article  Google Scholar 

  • 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 

  • Jeyaseelan RS, Giacomin AJ (2008) Network theory for polymer solutions in large amplitude oscillatory shear. J Non-Newtonian Fluid Mech 148:24–32

    Article  Google Scholar 

  • Klein C, Spiess HW, Calin A, Balan C, Wilhelm M (2007) Separation of the nonlinear oscillatory response into a superposition of linear, strain hardening, strain softening, and wall slip response. Macromolecules 40(12):4250–4259

    Article  Google Scholar 

  • Klein CO, Venema P, Sagis L, van der Linden E (2008) Rheological discrimination and characterization of carrageenans and starches by Fourier transform-rheology in the non-linear viscous regime. J Non-Newtonian Fluid Mech 151:145–150

    Article  Google Scholar 

  • Läuger J, Stettin H (2010) Differences between stress and strain control in the non-linear behavior of complex fluids. Rheol Acta 49:909–930

    Article  Google Scholar 

  • 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 

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

    Google Scholar 

  • Meins T, Hyun K, Dingenouts N, Fotouhi Ardakani M, Struth B, Wilhelm M (2012) New insight to the mechanism of the shear-induced macroscopic alignment of diblock copolymer melts by a unique and newly developed rheo-saxs combination. Macromolecules 45:455–472

    Article  Google Scholar 

  • Pearson DS, Rochefort WE (1982) Behavior of concentrated polystyrene solutions in large-amplitude oscillating shear fields. J Polym Sci B Polym Phys 20:83–98

    Article  Google Scholar 

  • 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 

  • Renou F, Stellbrink J, Petekidis G (2010) Yielding processes in a colloidal glass of soft star-like micelles under large amplitude oscillatory shear (laos). J Rheol 54:1219–1242

    Article  Google Scholar 

  • Rides M, Allen CRG (1996) Round robin for parallel plate oscillatory rheometry using polyethylene and polypropylene melts. NPL Rep CMMT(A) 11

  • Rogers SA (2012) A sequence of physical processes determined and quantified in laos: an instantaneous local 2d/3d approach. J Rheol 56:1129–1151

    Article  Google Scholar 

  • Rouyer F, Cohen-Addad S, Höhler R, Sollich P, Fielding SM (2008) The large amplitude oscillatory strain response of aqueous foam: strain localization and full stress fourier spectrum. Eur Phys J E 27:309–321

    Article  Google Scholar 

  • Schulze JS, Lodge TP, Macosko CW, Hepperle J, Münstedt H, Bastian H, Ferri D, Groves DJ, Kim YH, Lyon M, Schweizer T, Virkler T, Wassner E, Zoetelief W (2001) A comparison of extensional viscosity measurements from various rme rheometers. Rheol Acta 40:57–466

    Article  Google Scholar 

  • Shu R, Sun W, Wang T, Wang C, Liu X, Tong Z (2013) Linear and nonlinear viscoelasticity of water-in-oil emulsions: effect of droplet elasticity. Colloids Surf A Physicochem Eng Asp 434:220–228

    Article  Google Scholar 

  • 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 

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

    Google Scholar 

  • Wagner MH, Rolón-Garrido VH, Hyun K, Wilhelm M (2011) Analysis of medium amplitude oscillatory shear data of entangled linear and model comb polymers. J Rheol 55:495–516

    Article  Google Scholar 

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

    Article  Google Scholar 

  • 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 

  • Yosick JA, Giacomin AJ, Moldenaers P (1997) A kinetic network model for nonlinear flow behavior of molten plastics in both shear and extension. J Non-Newtonian Fluid Mech 70:103–123

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Acknowledgments

Financial support by the German Research Foundation DFG (SPP 1273, WI 1911/17-1) is gratefully acknowledged. Furthermore, the authors would like to thank Prof. Norbert Willenbacher at Karlsruhe Institute of Technology for providing access to the MCR 501 rheometer. The BASF is thanked for the donation of the polyisobutylene solution sample. We also thank Aly Franck (TA Instruments), Jörg Läuger (Anton Paar), and Heiko Stettin (Anton Paar) for their suggestions and improvements of the manuscript. At last, we are grateful to Dr. Jennifer Kübel for proofreading this article as a native speaker.

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Correspondence to Manfred Wilhelm.

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Merger, D., Wilhelm, M. Intrinsic nonlinearity from LAOStrain—experiments on various strain- and stress-controlled rheometers: a quantitative comparison. Rheol Acta 53, 621–634 (2014). https://doi.org/10.1007/s00397-014-0781-3

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  • DOI: https://doi.org/10.1007/s00397-014-0781-3

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