A sequence of physical processes determined and quantified in LAOS: Application to a yield stress fluid

Rogers, Simon A.; Erwin, Brian M.; Vlassopoulos, Dimitris; Cloître, Michel

doi:10.1122/1.3544591

Cited by 218 publications

(167 citation statements)

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“…In that sense, this work is closest in spirit to the SPP approach of [69,70] (which did not, however, explicitly consider heterogeneous response). In particular, we seek to interpret the emergence of shear banding in LAOS on the basis of the existing criteria for the onset of banding in the simpler timedependent protocols of shear startup and step stress [47].…”

Section: A)mentioning

confidence: 99%

“…These include Fourier transform rheology [63]; measures for quantifying Lissajous-Bowditch curves (defined below) in their elastic representation of stress versus strain, or viscous representation of stress versus strain rate [64]; a decomposition into characteristic sine, square, and triangular wave prototypical response functions [65,66]; decomposition into elastic and viscous stress contributions using symmetry arguments [67]; Chebyshev series expansions of these elastic and viscous contributions [68]; and interpretations of the LAOS cycle in terms of a sequence of physical processes (SPP) [69,70].…”

Section: A)mentioning

confidence: 99%

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Shear banding in large amplitude oscillatory shear (LAOStrain and LAOStress) of polymers and wormlike micelles

Carter¹,

Girkin²,

Fielding³

2016

Journal of Rheology

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Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. AbstractWe investigate theoretically shear banding in large amplitude oscillatory shear (LAOS) of polymeric and wormlike micellar surfactant fluids. In large amplitude oscillatory shear strain, we observe banding at low frequencies and sufficiently high strain rate amplitudes in fluids for which the underlying stationary constitutive curve of shear stress as a function of shear rate is nonmonotonic. This is the direct (and relatively trivial) analog of quasisteady state banding seen in slow strain rate sweeps along the flow curve. At higher frequencies and sufficiently high strain amplitudes, we report a different but related phenomenon, which we call "elastic" shear banding. This is associated with an overshoot in the elastic (Lissajous-Bowditch) curve of stress as a function of strain and we suggest that it might arise rather widely even in fluids that have a monotonic underlying constitutive curve, and so do not show steady state banding if under a steadily applied shear flow. It is analogous to the elastic banding triggered by stress overshoot in a fast shear startup predicted previously by R. L. Moorcroft and S. M. Fielding [Phys. Rev. Lett. 110(8), 086001 (2013)], but could be more readily observable experimentally in this oscillatory protocol due to its recurrence in each half cycle. In large amplitude oscillatory shear stress, we report shear banding in fluids that shear thin strongly enough to have either a negatively or a weakly positively sloping region in the underlying constitutive curve, noting again that fluids in the latter category do not display steady state banding in a steadily applied flow. This banding is triggered in each half cycle as the stress magnitude transits the region of weak slope in an upward direction such that the fluid effectively yields. It is strongly reminiscent of the transient banding predicted previously in step stress [R. L. Moorcroft and S. M. Fielding, Phys. Rev. Lett. 110(8), 086001 (2013)]. Our numerical calculations are performed in the Rolie-poly model of polymers and wormlike micelles, but we also provide arguments suggesting that our results should apply more widely. Besides banding in the shear strain rate profile, which can be measured by velocimetry, we also predict banding in the shear and normal stress components, measurable by birefringence. As a backdrop to understanding the new results on shear banding in LAOS, we also briefly review earlier work on banding in other time-dependent protocols, focusing in particular on...

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Section: A)mentioning

confidence: 99%

Section: A)mentioning

confidence: 99%

Shear banding in large amplitude oscillatory shear (LAOStrain and LAOStress) of polymers and wormlike micelles

Carter¹,

Girkin²,

Fielding³

2016

Journal of Rheology

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“…This is a feature typical of repulsive glasses, already observed in other colloidal glasses within the caging framework [Rogers et al (2011);Truzzolillo et al (2013a)]. The determined apparent cage modulus G cage ¼ ðdr=dcÞj r¼0 at different strain amplitudes is plotted in Fig.…”

mentioning

confidence: 94%

“…Selected LAOS data were collected and analyzed using Lissajous-Bowditch (LB) stress-strain plots [Rogers et al (2011)] to determine the sensitivity of the different morphologies to this type of nonlinear deformation. The data obtained from the dynamic strain sweep measurements for a repulsive glass (U L ¼ 0) and a reentrant depletion gel (U L ¼ 2.24) are depicted in Figs.…”

Section: Laosmentioning

confidence: 99%

Depletion gels from dense soft colloids: Rheology and thermoreversible melting

Truzzolillo¹,

Vlassopoulos²,

Munam³

et al. 2014

Journal of Rheology

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SynopsisUpon addition of small nonadsorbing linear polymers, colloidal glasses composed of large hard spheres melt and eventually revitrify into the so-called attractive glass regime. We show that, when replacing the hard spheres by star polymers representing model soft particles, a reentrant gel is formed. This is the result of compression and depletion of the stars due to the action of the osmotic pressure from the linear homopolymers. The viscoelastic properties of the soft dense gel were studied with emphasis on the shear-induced yielding process, which involved localized breaking of elements with a size of the order of the correlation length. Based on these results, a phenomenological attempt was made at describing the universal rheological features of colloid/nonadsorbing polymer mixtures of varying softness. The star gel was found to undergo thermoreversible melting, despite the fact that conventional hard-sphere depletion gels are invariant to heating. This phenomenon is attributed to the hybrid internal microstructure of the stars, akin to a dry-to-wet brush transition, and is characterized by slow kinetics, on the time scale of the osmotic gel formation process. These results may be useful in finding generic features in colloidal gelation, as well as in the molecular design of new soft composite materials. V C 2014 The Society of Rheology. [http://dx

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“…By measuring the stress response to sinusoidal strain, one determines the linear elastic and viscous moduli G and G from the harmonic in and out of phase response, respectively, all the way from the linear to the nonlinear response regime [25][26][27][28][29]. These measurements provide insight into the yielding [30][31][32], caging and relaxation processes of glasses [33][34][35] as a function of strain amplitude and frequency. The sinusoidal strain avoids the continuous accumulation of strain and allows frequency-dependent steady states [36] to be probed.…”

Section: Introductionmentioning

confidence: 99%

Reversibility and hysteresis of the sharp yielding transition of a colloidal glass under oscillatory shear

et al. 2016

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Abstract. The mechanical response of glasses remains challenging to understand. Recent results indicate that the oscillatory rheology of soft glasses is accompanied by a sharp non-equilibrium transition in the microscopic dynamics. Here, we use simultaneous x-ray scattering and rheology to investigate the reversibility and hysteresis of the sharp symmetry change from anisotropic solid to isotropic liquid dynamics observed in the oscillatory shear of colloidal glasses (D. Denisov, M.T. Dang, B. Struth, A. Zaccone, P. Schall, Sci. Rep. 5 14359 (2015)). We use strain sweeps with increasing and decreasing strain amplitude to show that, in analogy with equilibrium transitions, this sharp symmetry change is reversible and exhibits systematic frequency-dependent hysteresis. Using the non-affine response formalism of amorphous solids, we show that these hysteresis effects arise from frequency-dependent non-affine structural cage rearrangements at large strain. These results consolidate the first-order-like nature of the oscillatory shear transition and quantify related hysteresis effects both via measurements and theoretical modelling.

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A sequence of physical processes determined and quantified in LAOS: Application to a yield stress fluid

Cited by 218 publications

References 43 publications

Shear banding in large amplitude oscillatory shear (LAOStrain and LAOStress) of polymers and wormlike micelles

Shear banding in large amplitude oscillatory shear (LAOStrain and LAOStress) of polymers and wormlike micelles

Depletion gels from dense soft colloids: Rheology and thermoreversible melting

Reversibility and hysteresis of the sharp yielding transition of a colloidal glass under oscillatory shear

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