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Necking after extensional filament stretching of complex fluids and soft solids (2017)
Journal Article
Hoyle, D., & Fielding, S. (2017). Necking after extensional filament stretching of complex fluids and soft solids. Journal of Non-Newtonian Fluid Mechanics, 247, 132-145. https://doi.org/10.1016/j.jnnfm.2017.06.009

We perform linear stability analysis and nonlinear slender filament simulations of extensional necking in complex fluids and soft solids, during the stress relaxation process following an interrupted strain ramp. We start by deriving analytical crite... Read More about Necking after extensional filament stretching of complex fluids and soft solids.

Criteria for extensional necking instability in complex fluids and soft solids. Part I: Imposed Hencky strain rate protocol (2016)
Journal Article
Hoyle, D. M., & Fielding, S. M. (2016). Criteria for extensional necking instability in complex fluids and soft solids. Part I: Imposed Hencky strain rate protocol. Journal of Rheology, 60(6), 1347-1375. https://doi.org/10.1122/1.4965036

We study theoretically the necking dynamics of a filament of complex fluid or soft solid in uniaxial tensile stretching at constant imposed Hencky strain rate ϵ̇ ϵ̇, by means of linear stability analysis and nonlinear (slender filament) simulations.... Read More about Criteria for extensional necking instability in complex fluids and soft solids. Part I: Imposed Hencky strain rate protocol.

Criteria for extensional necking instability in complex fluids and soft solids. Part II: Imposed tensile stress and force protocols (2016)
Journal Article
Hoyle, D. M., & Fielding, S. M. (2016). Criteria for extensional necking instability in complex fluids and soft solids. Part II: Imposed tensile stress and force protocols. Journal of Rheology, 60(6), 1377-1397. https://doi.org/10.1122/1.4965037

We study the necking of a filament of complex fluid or soft solid subject to uniaxial tensile stretching, separately under conditions of constant imposed tensile stress and constant imposed tensile force, by means of linear stability analysis and non... Read More about Criteria for extensional necking instability in complex fluids and soft solids. Part II: Imposed tensile stress and force protocols.

Age-Dependent Modes of Extensional Necking Instability in Soft Glassy Materials (2015)
Journal Article
Hoyle, D. M., & Fielding, S. M. (2015). Age-Dependent Modes of Extensional Necking Instability in Soft Glassy Materials. Physical Review Letters, 114(15), Article 158301. https://doi.org/10.1103/physrevlett.114.158301

We study the instability to necking of an initially cylindrical filament of soft glassy material subject to extensional stretching. By numerical simulation of the soft glassy rheology model and a simplified fluidity model, and by analytical predictio... Read More about Age-Dependent Modes of Extensional Necking Instability in Soft Glassy Materials.

Large amplitude oscillatory shear and Fourier transform rheology analysis of branched polymer melts (2014)
Journal Article
Hoyle, D. M., Auhl, D., Harlen, O., Barroso, V., Wilhelm, M., & McLeish, T. (2014). Large amplitude oscillatory shear and Fourier transform rheology analysis of branched polymer melts. Journal of Rheology, 58(4), https://doi.org/10.1122/1.4881467

In this paper, the predictions of the Pompom constitutive model in medium and large amplitude oscillatory shear (LAOS) are examined using Fourier transform rheology (FTR). FTR is commonly used in combination with small amplitude oscillatory shear to... Read More about Large amplitude oscillatory shear and Fourier transform rheology analysis of branched polymer melts.

Transient overshoot extensional rheology of long-chain branched polyethylenes: Experimental and numerical comparisons between filament stretching and cross-slot flow (2013)
Journal Article
Hoyle, D. M., Huang, Q., Auhl, D., Hassell, D., Rasmussen, H., Skov, A., …McLeish, T. (2013). Transient overshoot extensional rheology of long-chain branched polyethylenes: Experimental and numerical comparisons between filament stretching and cross-slot flow. Journal of Rheology, 57(1), 293-313. https://doi.org/10.1122/1.4767982

This work analyses the high-strain extensional behavior of long-chain branched polyethylenes, employing two novel extensional rheometer devices, the filament stretching rheometer and the cross-slot extensional rheometer. The filament stretching rheom... Read More about Transient overshoot extensional rheology of long-chain branched polyethylenes: Experimental and numerical comparisons between filament stretching and cross-slot flow.

In Silico Molecular Design, Synthesis, Characterization, and Rheology of Dendritically Branched Polymers: Closing the Design Loop (2012)
Journal Article
Hutchings, L. R., Kimani, S. M., Hoyle, D. M., Read, D. J., Das, C., McLeish, T. C., …Auhl, D. (2012). In Silico Molecular Design, Synthesis, Characterization, and Rheology of Dendritically Branched Polymers: Closing the Design Loop. ACS Macro Letters, 1(3), 404-408. https://doi.org/10.1021/mz300059k

It has been a long held ambition of both industry and academia to understand the relationship between the often complex molecular architecture of polymer chains and their melt flow properties, with the goal of building robust theoretical models to pr... Read More about In Silico Molecular Design, Synthesis, Characterization, and Rheology of Dendritically Branched Polymers: Closing the Design Loop.

Cross-slot extensional rheometry and the steady-state extensional response of long chain branched polymer melts (2011)
Journal Article
Auhl, D., Hoyle, D. M., Hassell, D., Lord, T., Mackley, M., Harlen, O., & McLeish, T. (2011). Cross-slot extensional rheometry and the steady-state extensional response of long chain branched polymer melts. Journal of Rheology, 55(4), 875-900. https://doi.org/10.1122/1.3589972

Stress-optical measurements at a flow stagnation point in confined geometries such as the cross-slot provide an elegant way to perform extensional testing for polymer melts. This technique is especially useful for samples which have a steady-state th... Read More about Cross-slot extensional rheometry and the steady-state extensional response of long chain branched polymer melts.