[HTML][HTML] Kramers–Kronig relations for nonlinear rheology. Part I: General expression and implications

S Shanbhag, YM Joshi - Journal of Rheology, 2022 - pubs.aip.org
The principle of causality leads to linear Kramers–Kronig relations (KKR) that relate the real
and imaginary parts of the complex modulus G∗ through integral transforms. Using the …

Gaborheometry: Applications of the discrete Gabor transform for time resolved oscillatory rheometry

JD John Rathinaraj, GH McKinley - Journal of Rheology, 2023 - pubs.aip.org
Oscillatory rheometric techniques such as small amplitude oscillatory shear (SAOS) and,
more recently, medium amplitude oscillatory shear and large amplitude oscillatory shear …

Parallel superposition of small-amplitude oscillatory shear flow upon steady shear flow from rotarance theory

MC Pak, AJ Giacomin - Physics of Fluids, 2024 - pubs.aip.org
The power of a macromolecular theory for the transport properties of a polymeric liquid
increases with the number of analytical expressions for its most important material functions …

Optical tweezer measurements of asymptotic nonlinearities in complex fluids

SK Gupta, KR Lennon, MA Joens, H Bandi… - Physical Review E, 2021 - APS
This article presents micro-medium-amplitude oscillatory shear (μ MAOS), a method to
measure the frequency-dependent micromechanical properties of soft materials in the …

Can numerical methods compete with analytical solutions of linear constitutive models for large amplitude oscillatory shear flow?

S Mittal, YM Joshi, S Shanbhag - Rheologica Acta, 2024 - Springer
We consider the corotational Maxwell model which is perhaps the simplest constitutive
model with a nontrivial oscillatory shear response that can be solved analytically. The exact …

Anticipating gelation and vitrification with medium amplitude parallel superposition (MAPS) rheology and artificial neural networks

KR Lennon, JDJ Rathinaraj, MA Gonzalez Cadena… - Rheologica Acta, 2023 - Springer
Anticipating qualitative changes in the rheological response of complex fluids (eg, a gelation
or vitrification transition) is an important capability for processing operations that utilize such …

Volterra kernels, Oldroyd models, and interconversion in superposition rheometry

DJ Curtis, AR Davies - Journal of Non-Newtonian Fluid Mechanics, 2021 - Elsevier
The purpose of this paper is to demonstrate how the general problem of interconversion
between parallel and orthogonal superposition protocols can be treated using the kernels in …

Programmable viscosity metamaterials: Designing fluid properties using temporal superposition of shear and acoustics

P Sehgal, M Ramaswamy, EYX Ong, C Ness… - Physical Review …, 2024 - APS
Metamaterials are composite structures whose extraordinary properties arise from a
mesoscale organization of their constituents. Here, we introduce a different material class …

[HTML][HTML] The Gordon–Schowalter/Johnson–Segalman model in parallel and orthogonal superposition rheometry and its application in the study of worm-like micellular …

A Ogunkeye, R Hudson-Kershaw, AR Davies… - Journal of Non …, 2024 - Elsevier
Abstract Parallel and Orthogonal Superposition experiments may be employed to probe a
material's non-linear rheological properties through the rate-dependent parallel and …

Unsteady and lineal translation of a sphere through a viscoelastic fluid

MA Joens, JW Swan - Physical Review Fluids, 2022 - APS
The unsteady, lineal translation of a solid spherical particle through viscoelastic fluids
described by the Johnson-Segalman and Giesekus models is studied analytically. Solutions …