Large amplitude oscillatory shear of pseudoplastic and elastoviscoplastic materials

By R. Ewoldt, P. Winter, J. Maxey, G. H. McKinley. 2010

393 citations recorded by the source corpus.

We explore the utility of strain-controlled large amplitude oscillatory shear (LAOS) deformation for identifying and characterizing apparent yield stress responses in elastoviscoplastic materials. Our approach emphasizes the visual representation of the LAOS stress response within the framework of Lissajous curves with strain, strain rate, and stress as the coordinate axes, in conjunction with quantitative analysis of the corresponding limit cycle behavior. This approach enables us to explore how the material properties characterizing the yielding response depend on both strain amplitude and frequency of deformation. Canonical constitutive models (including the purely viscous Carreau model and the elastic Bingham model) are used to illustrate the characteristic features of pseudoplastic and elastoplastic material responses under large amplitude oscillatory shear. A new parameter, the perfect plastic dissipation ratio, is introduced for uniquely identifying plastic behavior. Experimental results are presented for two complex fluids, a pseudoplastic shear-thinning xanthan gum solution and an elastoviscoplastic invert-emulsion drilling fluid. The LAOS test protocols and the associated material measures provide a rheological fingerprint of the yielding behavior of a complex fluid that can be compactly represented within the domain of a Pipkin diagram defined by the amplitude and timescale of deformation.

Subfields: Biomedical Engineering, Fluid Flow and Transfer Processes, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/650effbc4810747e3c4ea6553682bed1c86fdfa6

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In Biomedical Engineering

In Fluid Flow and Transfer Processes

In Ocean Engineering

Citations in the corpus

On secondary loops in LAOS via self-intersection of Lissajous–Bowditch curves (2010, background): “However, such secondary loops have been observed for many different material systems including micellar solutions (Ewoldt et al. 2008), a polystyrene solution (Jeyaseelan and Giacomin 2008), several molten polymers (Tee and Dealy 1975; Stadler et al. 2008), star-polymer networks (Rogers SA, Vlassopo”
An energy-based method to determine material constants in nonlinear rheology with applications (2016, background): “All published work concentrates on the large amplitudes in a oscillatory measurement in a rheometer and employs tensorial linear relations (for a detailed study of the large amplitude oscillatory strain (LAOS) method refer to [10]).”
A unified approach to model elasto-viscoplastic thixotropic yield-stress materials and apparent yield-stress fluids (2013, methodology): “…plots have been used extensively in the presentation of large-amplitude oscillatory test data of yield-stress materials (e.g., Mas and Magnin 1997, Tiu et al. 2006, Ewoldt et al. 2008, Ewoldt and McKinley 2010, Ewoldt et al. 2010, Rogers et al. 2011, Rogers and Lettinga 2012, Rogers 2012).”
Mapping thixo-elasto-visco-plastic behavior (2017, methodology): “5 Large-amplitude oscillatory shear (LAOS) characterization requires a 3D Pipkin map using two transient time axes: frequency ω and transient time t . a, b Data from a thixotropic drilling mud (frequency ω = 15 rad/s from Ewoldt et al. (2010), data from their Figs.”
Describing and prescribing the constitutive response of yield stress fluids using large amplitude oscillatory shear stress (LAOStress) (2013, methodology): “It is well known that, for a sinusoidal forcing, the energy dissipated within the material per cycle only depends on the first viscous Fourier coefficient (Ganeriwala and Rotz, 1987; Kalelkar et al., 2010; Ewoldt et al., 2010).”
Numerical simulations of complex yield-stress fluid flows (2017, methodology): “Upon careful rheological characterization of the materials (Dimitriou et al. 2013; Holenberg et al. 2013; Ewoldt et al., 2010), this effort has already produced gratifying agreement between theory and experiments in complex flows (Fraggedakis et al.”