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The rheology of dense granular flows is studied numerically in a shear cell controlled at constant pressure and shear stress, confined between two granular shear flows. We show that a liquid state can be achieved even far below the yield…

Soft Condensed Matter · Physics 2018-01-08 Mehdi Bouzid , Martin Trulsson , Philippe Claudin , Eric Clément , Bruno Andreotti

We derive closed-form solutions for reverberant elastography in anisotropic elastic media by adapting the framework used in electromagnetic theory to treat transverse isotropic materials. Different sample-setup geometries are analyzed,…

Medical Physics · Physics 2020-11-12 Luis A. Aleman-Castaneda , Fernando Zvietcovich , Kevin J. Parker

Understanding the dynamics of fluid-driven sediment transport remains challenging, as it is an intermediate region between a granular material and a fluid flow. Boyer \textit{et al.}\citep{Boyer2011} proposed a local rheology unifying dense…

Soft Condensed Matter · Physics 2016-12-28 M. Houssais , C. P. Ortiz , D. J. Durian , D. J. Jerolmack

We propose a multiscale method for mixed-dimensional elliptic problems with highly heterogeneous coefficients arising, for example, in the modeling of fractured porous media. The method is based on the Localized Orthogonal Decomposition…

Numerical Analysis · Mathematics 2026-03-23 Moritz Hauck , Axel Målqvist , Malin Mosquera

Rheology of macroscopic particle-laden interfaces, called "Granular Rafts" has been experimentally studied, in the simple shear configuration. The shear-stress relation obtained from a classical rheometer exhibits the same behavior as a…

Soft Condensed Matter · Physics 2023-07-12 J. Lalieu , A. Seguin , G. Gauthier

A granular material is observed to flow under the Coulomb yield criterion as soon as this criterion is satisfied in a remote but contiguous region of space. We investigate this non-local effect using discrete element simulations, in a…

Soft Condensed Matter · Physics 2015-01-28 Mehdi Bouzid , Martin Trulsson , Philppe Claudin , Eric Clément , Bruno Andreotti

The rheological characterisation of complex fluids is mostly performed under simple shear flow in rotational rheometers. Their modern commercial versions are extremely sensitive instruments which are able to provide very accurate…

Fluid Dynamics · Physics 2021-03-05 Ahmad Fakhari , Francisco J. Galindo-Rosales

Microorganisms inhabit viscoelastic environments, where their locomotion can deform polymers and trigger local complex viscoelastic responses. However, a systematic approach to quantify such responses remains lacking. Here, we propose a…

Soft Condensed Matter · Physics 2025-12-09 Kai Qi , Qingzhi Zou , Ignacio Pagonabarraga

Magnetic Resonance Elastography (MRE) has become an essential tool in assessing the mechanical properties of soft tissues in-vivo, prompting significant progress in new inversion algorithms. This creates a need for a benchmarking framework…

Numerical Analysis · Mathematics 2026-04-06 Yashasvi Verma , Jakob Schattenfroh , Ingolf Sack , Silvia Budday , Paul Steinmann , Luca Heltai

We present a flexible set-up for determining the rheology of visco-elastic materials which is based on the mechanical response of a magnet deposited at the surface of a slab of material and excited electromagnetically. An interferometric…

Soft Condensed Matter · Physics 2019-09-11 Etienne Rolley , Jacco H. Snoeijer , Bruno Andreotti

Energy-based ultrasound elastography techniques minimize a regularized cost function consisting of data and continuity terms to obtain local displacement estimates based on the local time-delay estimation (TDE) between radio-frequency (RF)…

Image and Video Processing · Electrical Eng. & Systems 2022-03-31 Md Ashikuzzaman , Timothy J. Hall , Hassan Rivaz

Understanding the microscopic origin of the rheological behavior of soft matter is a long-lasting endeavour. While early efforts concentrated mainly on the relationship between rheology and structure, current research focuses on the role of…

Soft Condensed Matter · Physics 2018-02-13 Stefano Aime , Luca Cipelletti

Ultrasound has long been used as a non-destructive tool to test for the brittle fracture of materials. Could it be used as a similar tool to test for ductile failure? This study reports results of local measurements of the speed of shear…

Materials Science · Physics 2015-08-11 Vicente Salinas , Fernando Lund , Nicolás Mujica , Rodrigo Espinoza-González

The rheological properties of soft materials often exhibit surprisingly universal linear and non-linear features. Here we show that these properties can be unified by considering the effect of the strain-rate amplitude on the structural…

Soft Condensed Matter · Physics 2007-06-12 Hans M. Wyss , Kunimasa Miyazaki , Johan Mattsson , Zhibing Hu , David R. Reichman , David A. Weitz

We consider a strongly heterogeneous medium saturated by an incompressible viscous fluid as it appears in geomechanical modeling. This poroelasticity problem suffers from rapidly oscillating material parameters, which calls for a thorough…

Numerical Analysis · Mathematics 2018-12-27 Robert Altmann , Eric Chung , Roland Maier , Daniel Peterseim , Sai-Mang Pun

Shear cell simulations and experiments of weakly wetted particles (a few volume percent liquid binders) are compared, with the goal to understand their flow rheology. Application examples are cores for metal casting by core shooting made of…

Soft Condensed Matter · Physics 2014-09-15 Ruediger Schwarze , Anton Gladkyy , Fabian Uhlig , Stefan Luding

In this study, we report the use of digital holography microscopy (DHM) for 3D-resolved flow kinematics and shear rheometry of viscoelastic polymeric fluids. We computationally reconstruct the recorded holograms to visualize the tracer…

Fluid Dynamics · Physics 2019-10-03 Siddhartha Gupta , Siva A. Vanapalli

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

Ultrasound shear wave elasticity imaging is a valuable tool for quantifying the elastic properties of tissue. Typically, the shear wave velocity is derived and mapped to an elasticity value, which neglects information such as the shape of…

Image and Video Processing · Electrical Eng. & Systems 2022-04-29 Maximilian Neidhardt , Marcel Bengs , Sarah Latus , Stefan Gerlach , Christian J. Cyron , Johanna Sprenger , Alexander Schlaefer

This paper is devoted to numerical approximations for the wave equation with a multiscale character. Our approach is formulated in the framework of the Localized Orthogonal Decomposition (LOD) interpreted as a numerical homogenization with…

Numerical Analysis · Mathematics 2015-09-23 Assyr Abdulle , Patrick Henning