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

https://doi.org/10.1122/8.0000480
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/pol.1982.180200107openalex-snapshot
Behavior of concentrated polystyrene solutions in large‐amplitude oscillating shear fields
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Kramers-Krönig relations in nonlinear optics
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Low-dimensional intrinsic material functions for nonlinear viscoelasticity
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Medium amplitude parallel superposition (MAPS) rheology of a wormlike micellar solution
inferredcites →https://doi.org/10.1007/s10955-008-9498-yopenalex-snapshot
Response Theory for Equilibrium and Non-Equilibrium Statistical Mechanics: Causality and Generalized Kramers-Kronig Relations
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Effects of silica nanoparticles on copper nanowire dispersions in aqueous PVA solutions
inferredcites →https://doi.org/10.1016/j.jnnfm.2021.104601openalex-snapshot
The medium amplitude response of nonlinear Maxwell–Oldroyd type models in simple shear
inferredcites →https://doi.org/10.1016/j.mechmat.2013.06.001openalex-snapshot
Application of Kramers–Kronig relations to time–temperature superposition for viscoelastic materials
inferredcites →https://doi.org/10.1016/j.polymer.2016.04.052openalex-snapshot
Investigation of nonlinear rheological behavior of linear and 3-arm star 1,4-cis-polyisoprene (PI) under medium amplitude oscillatory shear (MAOS) flow via FT-rheology
inferredcites →https://doi.org/10.1016/j.progpolymsci.2011.02.002openalex-snapshot
A review of nonlinear oscillatory shear tests: Analysis and application of large amplitude oscillatory shear (LAOS)
inferredcites →https://doi.org/10.1016/s0377-0257(96)01512-1openalex-snapshot
Analysis of dynamic mechanical data: inversion into a relaxation time spectrum and consistency check
inferredcites →https://doi.org/10.1016/s0377-0257(97)00056-6openalex-snapshot
Sampling localization in determining the relaxation spectrum
inferredcites →https://doi.org/10.1021/acs.macromol.5b02157openalex-snapshot
Characterization of Compatibilizing Effect of Organoclay in Poly(lactic acid) and Natural Rubber Blends by FT-Rheology
inferredcites →https://doi.org/10.1021/acs.macromol.9b01650openalex-snapshot
First-Order and Third-Order Nonlinearities from Medium-Amplitude Oscillatory Shearing of Hydrogen-Bonded Polymers and Other Viscoelastic Materials
inferredcites →https://doi.org/10.1021/ma500700eopenalex-snapshot
Characterization of Morphologies of Compatibilized Polypropylene/Polystyrene Blends with Nanoparticles via Nonlinear Rheological Properties from FT-Rheology
inferredcites →https://doi.org/10.1021/ma8017266openalex-snapshot
Establishing a New Mechanical Nonlinear Coefficient Q from FT-Rheology: First Investigation of Entangled Linear and Comb Polymer Model Systems
inferredcites →https://doi.org/10.1038/s41598-020-65297-2openalex-snapshot
Beyond Forcing Scenarios: Predicting Climate Change through Response Operators in a Coupled General Circulation Model
inferredcites →https://doi.org/10.1088/0143-0807/31/3/014openalex-snapshot
What did Kramers and Kronig do and how did they do it?
inferredcites →https://doi.org/10.1088/0305-4470/39/33/012openalex-snapshot
Alternative approach to the derivation of dispersion relations for optical constants
inferredcites →https://doi.org/10.1103/physrev.104.1760openalex-snapshot
Causality and the Dispersion Relation: Logical Foundations
inferredcites →https://doi.org/10.1119/1.15901openalex-snapshot
Kramers–Kronig in two lines
inferredcites →https://doi.org/10.1122/1.3553031openalex-snapshot
Analysis of medium amplitude oscillatory shear data of entangled linear and model comb polymers
inferredcites →https://doi.org/10.1122/1.3684751openalex-snapshot
Large amplitude oscillatory shear (LAOS) measurements to obtain constitutive equation model parameters: Giesekus model of banding and nonbanding wormlike micelles
inferredcites →https://doi.org/10.1122/1.4795748openalex-snapshot
Nonlinear viscoelasticity of polymer nanocomposites under large amplitude oscillatory shear flow
inferredcites →https://doi.org/10.1122/1.4903346openalex-snapshot
Constitutive model fingerprints in medium-amplitude oscillatory shear
inferredcites →https://doi.org/10.1122/1.4999105openalex-snapshot
Linear-nonlinear dichotomy of rheological responses in particle-filled polymer melts
inferredcites →https://doi.org/10.1122/1.5132693openalex-snapshot
Medium amplitude parallel superposition (MAPS) rheology. Part 1: Mathematical framework and theoretical examples
inferredcites →https://doi.org/10.1122/1.549387openalex-snapshot
Nonlinear Viscoelasticity of Polymer Melts
inferredcites →https://doi.org/10.1122/1.549500openalex-snapshot
Nonlinear Dynamic Mechanical Moduli for Polycarbonate and PMMA
inferredcites →https://doi.org/10.1122/8.0000104openalex-snapshot
Medium amplitude parallel superposition (MAPS) rheology. Part 2: Experimental protocols and data analysis
inferredcites →https://doi.org/10.1364/josa.12.000547openalex-snapshot
On the Theory of Dispersion of X-Rays
inferredcites →https://doi.org/10.1366/000370204774103309openalex-snapshot
Kramers—Kronig Relations and Sum Rules in Nonlinear Optical Spectroscopy
inferredcites →https://doi.org/10.5254/1.3538492openalex-snapshot
Effect of Polymer-Filler and Filler-Filler Interactions on Dynamic Properties of Filled Vulcanizates

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Preparation of the Epdm/Polyacrylate Dispersed Coating for the Protection of Flexible Electronic Devices Inspired by the Phase Inversion of Emulsion
inferred← citeshttps://doi.org/10.1007/s00397-023-01429-5openalex-snapshot
Can numerical methods compete with analytical solutions of linear constitutive models for large amplitude oscillatory shear flow?
inferred← citeshttps://doi.org/10.1007/s13367-022-00041-yopenalex-snapshot
Efficient test to evaluate the consistency of elastic and viscous moduli with Kramers–Kronig relations
inferred← citeshttps://doi.org/10.1016/j.cocom.2024.e00912openalex-snapshot
Tailoring the optoelectronic properties of MoS2 for broadband photodetection: Showcasing an Ab-into study involving the quasi-particle correction within the Green’s function-based approximation
inferred← citeshttps://doi.org/10.1016/j.jnnfm.2023.105092openalex-snapshot
The Method of Harmonic Balance for the Giesekus Model Under Oscillatory Shear
inferred← citeshttps://doi.org/10.1016/j.polymer.2024.127519openalex-snapshot
Low-energy micron dispersion of entangled polymers based on phase inversion composition of emulsion
inferred← citeshttps://doi.org/10.1016/j.progpolymsci.2026.102178openalex-snapshot
Nonlinear rheology with oscillatory shear: recent advances in MAOS and SPP analysis
inferred← citeshttps://doi.org/10.1021/acsmeasuresciau.6c00098openalex-snapshot
When Spectroscopies Speak the Same Language: Unifying Rheology, Electrochemical Impedance, and Dielectrics
inferred← citeshttps://doi.org/10.1061/jenmdt.emeng-7898openalex-snapshot
Distribution-Theoretic Basis for Hidden Deltas in Frequency-Domain Structural Modeling
inferred← citeshttps://doi.org/10.1063/5.0129416openalex-snapshot
Large amplitude oscillatory shear study of a colloidal gel near the critical state
inferred← citeshttps://doi.org/10.1063/5.0207942openalex-snapshot
Harmonic balance for differential constitutive models under oscillatory shear
inferred← citeshttps://doi.org/10.1122/8.0000843openalex-snapshot
Stress-controlled medium-amplitude oscillatory shear (MAOStress) of PVA–Borax
inferred← citeshttps://doi.org/10.1122/8.0000869openalex-snapshot
Assimilation of linear viscoelastic measurements by joint inference of relaxation spectrum
inferred← citeshttps://doi.org/10.1122/8.0001102openalex-snapshot
Isolating the medium amplitude oscillatory shear regime via constitutive modeling
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Viscoelastic property measurement of industrially processed hemp fiber at nanoscale using atomic force microscopy
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