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Thermal greases, often used as thermal interface materials, are complex paste-like mixtures composed of a base polymer in which dense metallic (or ceramic) filler particles are dispersed to improve the heat transfer properties of the…

The high-fidelity characterization of soft, tissue-like materials under ultra-high-strain-rate conditions is critical in engineering and medicine. Still, it remains challenging due to limited optical access, sensitivity to initial…

The predictions of a nonequilibrium schematic mode-coupling theory developed to describe the nonlinear rheology of soft glassy materials have been numerically challenged in a sheared binary Lennard-Jones mixture. The theory gives an…

Statistical Mechanics · Physics 2009-11-07 Ludovic Berthier , Jean-Louis Barrat

This paper proposes a hierarchical, multi-resolution framework for the identification of model parameters and their spatially variability from noisy measurements of the response or output. Such parameters are frequently encountered in…

Mathematical Physics · Physics 2015-05-13 P. S. Koutsourelakis

Thixotropic yields stress fluids are complex materials such as paint, drilling mud, and food products like ketchup or yogurt. They behave as a solid below a certain shear stress (called yield stress), and flows as a liquid above it. The…

Soft Condensed Matter · Physics 2026-04-29 Mario Liu

The nonlinear rheology of a soft glassy material is captured by its constitutive relation, shear stress vs shear rate, which is most generally obtained by sweeping up or down the shear rate over a finite temporal window. For a huge amount…

Soft Condensed Matter · Physics 2013-10-02 Thibaut Divoux , Vincent Grenard , Sébastien Manneville

In this work we discuss possible physical origins for non-trivial exponents in the athermal rheology of soft materials at low but finite driving rates. A key ingredient in our scenario is the presence of a self-consistent mechanical noise…

Soft Condensed Matter · Physics 2017-07-06 Elisabeth Agoritsas , Kirsten Martens

Modeling yield stress fluids in complex flow scenarios presents significant challenges, particularly because conventional rheological characterization methods often yield material parameters that are not fully representative of the…

In this paper, we study the thermo-elastodynamics of nonlinearly viscous solids in the Kelvin-Voigt rheology where both the elastic and the viscous stress tensors comply with the frame-indifference principle. The system features a force…

Analysis of PDEs · Mathematics 2024-09-04 S. Almi , R. Badal , M. Friedrich , S. Schwarzacher

Rheology aims at quantifying the response of materials to mechanical forcing. However, standard rheometers provide only global macroscopic quantities, such as viscoelastic moduli. They fail to capture the heterogeneous flow of soft…

Complex physical systems which exhibit fluid-like behavior are often modeled as non-Newtonian fluids. A crucial element of a non-Newtonian model is the rheology, which relates inner stresses with strain-rates. We propose a framework for…

Numerical Analysis · Mathematics 2026-04-28 Gonzalo G. de Diego , Georg Stadler

Rheological characterization of complex fluids subjected to cyclic shear-rate sweep often exhibits hysteresis. Since both viscoelastic and thixotropic materials show hysteresis loops, it is important to understand distinguishing features…

Soft Condensed Matter · Physics 2022-11-23 Shweta Sharma , V. Shankar , Yogesh M. Joshi

Motivated by recent experimental studies of rheological hysteresis in soft glassy materials, we study numerically strain rate sweeps in simple yield stress fluids and viscosity bifurcating yield stress fluids. Our simulations of downward…

Soft Condensed Matter · Physics 2017-02-28 Rangarajan Radhakrishnan , Thibaut Divoux , Sébastien Manneville , Suzanne M. Fielding

Choosing a suitable model and determining its associated parameters from fitting to experimental data is fundamental for many problems in biomechanics. Models of shear-thinning complex fluids, dating from the work of Bird, Carreau, Cross…

We compute the rheological properties of inelastic hard spheres in steady shear flow for general shear rates and densities. Starting from the microscopic dynamics we generalise the Integration Through Transients (\textsc{itt}) formalism to…

Soft Condensed Matter · Physics 2020-03-03 W. Till Kranz , Fabian Frahsa , Annette Zippelius , Matthias Fuchs , Matthias Sperl

We identify the sequence of microstructural changes that characterize the evolution of an attractive particulate gel under flow and discuss their implications on macroscopic rheology. Dissipative Particle Dynamics (DPD) is used to monitor…

Soft Condensed Matter · Physics 2017-02-07 Safa Jamali , Gareth H. McKinley , Robert C. Armstrong

Reliable models of the thermodynamic properties of materials are critical for industrially relevant applications that require a good understanding of equilibrium phase diagrams, thermal and chemical transport, and microstructure evolution.…

Materials Science · Physics 2018-09-21 Noah H. Paulson , Elise Jennings , Marius Stan

The max-stable process is an asymptotically justified model for spatial extremes. In particular, we focus on the hierarchical extreme-value process (HEVP), which is a particular max-stable process that is conducive to Bayesian computing.…

Methodology · Statistics 2020-03-25 Yuan Tian , Brian J. Reich

The Soft Glassy Rheology (SGR) model is a mesoscopic framework which proved to be very successful in describing flow and deformation of various amorphous materials phenomenologically (e.g. pastes, slurries, foams etc). In this paper, we…

Soft Condensed Matter · Physics 2015-06-19 Ingo Fuereder , Patrick Ilg

The internal variable methodology of nonequilibrium thermodynamics, with a symmetric tensorial internal variable, provides an important rheological model family for solids, the so-called Kluitenberg-Verh\'as model family [1]. This model…

Statistical Mechanics · Physics 2019-07-24 Mátyás Szücs , Tamás Fülöp
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