Understaning oscillatory shear rheology of complex fluids and soft materials
Oscillatory share rheology aims at describing flow behavior of soft materials in terms of measurable parameters such as viscosity, compliance, and modulus. This is done by subjecting the test material to an oscillatory shear deformation and analysing the corresponding stress output . Subsequently, results are mapped to a constitutive theory, that describes the underlying physics and helps in understanding the material behavior. The small amplitude oscillatory shear (SAOS) is a well-characterized rheological test that studies the system in terms of its linear viscoelastic dynamic moduli ( and ) and has a strong theoretical foundation. However, when a large amplitude deformation (LAOS) is applied, the material shows complicated nonlinear behaviour due to interference from higher order frequencies. Our work aims at building a library of LAOS results for different classes of constitutive equations, so as to provide a ready recipe for analysis of experimental data. This is done by providing rigorous analytical solutions as well as smart numerical protocols to obtain the full LAOS response of any model with considerably good accuracy. In the process, we also report LAOS predictions of several models that have not been reported earlier.
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