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Rheologica Acta

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01.10.2011 | Original Contribution

Normal stress differences in large-amplitude oscillatory shear flow for the corotational “ANSR” model

verfasst von: Alan Jeffrey Giacomin, Robert Byron Bird

Erschienen in: Rheologica Acta | Ausgabe 9-10/2011

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Abstract

Using the integral form of a nonlinear corotational model, we derive explicit analytical expressions for the zeroth, second, and fourth harmonics of the second normal stress difference in large-amplitude oscillatory shear (LAOS). This model yields an arbitrary normal stress ratio (ANSR) in any simple shearing deformation, including LAOS. This corotational ANSR model adds one parameter to the corotational Maxwell model, a time constant λ ₀ controlling the ratio Ψ₂/Ψ₁ for both the real and imaginary parts of each harmonic of the normal stress difference. The explicit analytical expressions for all harmonics of the alternating shear stress and first normal stress difference responses in LAOS match those obtained previously for the corotational Maxwell model. We evaluate the corotational ANSR model for the case of a single Maxwell relaxation time fluid.

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Titel: Normal stress differences in large-amplitude oscillatory shear flow for the corotational “ANSR” model
verfasst von: Alan Jeffrey Giacomin
Robert Byron Bird
Publikationsdatum: 01.10.2011
Verlag: Springer-Verlag
Erschienen in: Rheologica Acta / Ausgabe 9-10/2011
Print ISSN: 0035-4511
Elektronische ISSN: 1435-1528
DOI: https://doi.org/10.1007/s00397-011-0553-2

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