Determination of the non-linear parameter (mobility factor) of the Giesekus constitutive model using LAOS procedure

Calin, Andreea; Wilhelm, Manfred; Bălan, Corneliu

doi:10.1016/j.jnnfm.2010.08.008

Cited by 52 publications

(27 citation statements)

References 39 publications

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“…the Giesekus model [186] and nonlinear response of dense colloidal suspensions under oscillatory shear using Mode-coupling theory and experiments [187]. Broader experimental application is also being found by modifying the LAOS ideas reviewed here.…”

Section: Discussionmentioning

confidence: 92%

A review of nonlinear oscillatory shear tests: Analysis and application of large amplitude oscillatory shear (LAOS)

Hyun

Wilhelm

Klein

et al. 2011

Progress in Polymer Science

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699

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Dynamic oscillatory shear tests are common in rheology and have been used to investigate a wide range of soft matter and complex fluids including polymer melts and solutions, block copolymers, biological macromolecules, polyelectrolytes, surfactants, suspensions, emulsions and beyond. More specifically, Small Amplitude Oscillatory Shear (SAOS) tests have become the canonical method for probing the linear viscoelastic properties of these complex fluids because of the firm theoretical background [1][2][3][4] and the ease of implementing suitable test protocols. However, in most processing operations the deformations can be large and rapid: it is therefore the nonlinear material properties that control the system response. A full sample characterization thus requires well-defined nonlinear test protocols. Consequently there has been a recent renewal of interest in exploiting Large Amplitude Oscillatory Shear (LAOS) tests to investigate and quantify the nonlinear viscoelastic behavior of complex fluids. In terms of the experimental input, both LAOS and SAOS require the user to select appropriate ranges of strain amplitude (γ 0 ) and frequency (ω). However, there is a distinct difference in the analysis of experimental output, i.e. the material response. At sufficiently large strain amplitude, the material response will become nonlinear in LAOS tests and the familiar material functions used to quantify the linear behavior in SAOS tests are no longer sufficient. For example, the definitions of the linear viscoelastic moduli G΄(ω) and G˝(ω) are based inherently on the assumption that the stress response is purely sinusoidal (linear). However, a nonlinear stress response is not a perfect sinusoid and therefore the viscoelastic moduli are not uniquely defined; other methods are needed for quantifying the nonlinear material response under LAOS deformation. In the present review article, we first summarize the typical nonlinear responses observed with complex fluids under LAOS deformations. We then introduce and critically compare several methods that quantify the nonlinear oscillatory stress response. We illustrate the utility and sensitivity of these protocols by investigating the nonlinear response of various complex fluids over a wide range of frequency and amplitude of deformation, and show that LAOS characterization is a rigorous test for rheological models and 3 advanced quality control.

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Section: Discussionmentioning

confidence: 92%

A review of nonlinear oscillatory shear tests: Analysis and application of large amplitude oscillatory shear (LAOS)

Hyun

Wilhelm

Klein

et al. 2011

Progress in Polymer Science

Self Cite

1,239

699

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“…Finally, ⌧ is the viscoelastic stress tensor that needs to be specified by choosing a constitutive equation. In this work, as constitutive equation we consider the Giesekus model [23] that, despite its simplicity, has been proven to quantitatively describe the rheological properties of several non-Newtonian fluids [26][27][28]:…”

Section: Governing Equationsmentioning

confidence: 99%

Bistability and metabistability scenario in the dynamics of an ellipsoidal particle in a sheared viscoelastic fluid

et al. 2014

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The motion of an ellipsoidal particle in a viscoelastic liquid subjected to an unconfined shear flow is addressed by numerical simulations. A complex dynamics is found with different transients and long-time regimes depending on the Deborah number De (De is the product of the viscoelastic liquid intrinsic time times the applied shear rate). Spiraling orbits toward a log-rolling motion around the vorticity are observed for low Deborah numbers, whereas the particle aligns with its major axis near to the flow direction at high Deborah numbers. The transition from vorticity to flow alignment is characterized by a periodic regime with small amplitude oscillations around orientations progressively shifting from vorticity to flow direction by increasing De. A range of Deborah numbers is detected such that the periodic solution coexists with the flow alignment regime (bistability). A further range of De is found where flow alignment is attained differently for particles starting far from or next to the shear plane: in the latter case, very long transients are found; hence an effective bistability (metabistability) is predicted to occur in a large time lapse before reaching the fully aligned state. Finally, the computed Deborah number values for flow alignment favorably compare with available experimental data. © 2014 American Physical Society

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“…There have already been several examples in the rheology literature of studies focused on using LAOS to determine model parameters and test the predictive performance of constitutive models (Giacomin et al, 1993;Zhou et al, 2010;Calin et al, 2010;Ng et al, 2011;Giacomin et al, 2011;Gurnon and Wagner, 2012). Similarly, in the solid mechanics and plasticity community, experiments very similar to LAOS are frequently used to probe material behavior.…”

Section: Introductionmentioning

confidence: 99%

Describing and prescribing the constitutive response of yield stress fluids using large amplitude oscillatory shear stress (LAOStress)

Dimitriou

Ewoldt²,

McKinley

2013

Journal of Rheology

242

160

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Large Amplitude Oscillatory Shear (LAOS) is used as a tool to probe the nonlinear rheological response of a model elasto-viscoplastic material (a Carbopol microgel). In contrast to most recent studies, these large amplitude measurements are carried out in a stress-controlled manner. We outline a descriptive framework of characterization measures for nonlinear rheology under stress-controlled LAOS, and this is contrasted experimentally to the strain-controlled framework that is more commonly used. We show that this stress-controlled methodology allows for a physically intuitive interpretation of the yielding behavior of elasto-viscoplastic materials. The insight gained into the material behavior through these nonlinear measures is then used to develop two constitutive models that prescribe the rheological response of the Carbopol microgel. We show that these two successively more sophisticated constitutive models, which are based on the idea of strain decomposition, capture in a compact manner the important features of the nonlinear rheology of the microgel. The second constitutive model, which incorporates the concept of kinematic hardening, embodies all of the the essential behaviors exhibited by Carbopol. These include elasto-viscoplastic creep and time-dependent viscosity plateaus below a critical stress, a viscosity bifurcation at the critical stress, and Herschel-Bulkley flow behavior at large stresses.

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Determination of the non-linear parameter (mobility factor) of the Giesekus constitutive model using LAOS procedure

Cited by 52 publications

References 39 publications

A review of nonlinear oscillatory shear tests: Analysis and application of large amplitude oscillatory shear (LAOS)

A review of nonlinear oscillatory shear tests: Analysis and application of large amplitude oscillatory shear (LAOS)

Bistability and metabistability scenario in the dynamics of an ellipsoidal particle in a sheared viscoelastic fluid

Describing and prescribing the constitutive response of yield stress fluids using large amplitude oscillatory shear stress (LAOStress)

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