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A new two-phase model for concentrated suspensions is derived that incorporates a constitutive law combining the rheology for non-Brownian suspension and granular flow. The resulting model exhibits a yield-stress behavior for the solid…

Fluid Dynamics · Physics 2019-04-10 Tobias Ahnert , Andreas Münch , Barbara Wagner

Yield-stress materials, which require a sufficiently large forcing to flow, are currently ill-understood theoretically. To gain insight into their yielding transition, here we study numerically the rheology of a suspension of deformable…

Dense supercooled colloidal melt in forward shear from a quiescent state shows overshoot in shear stress at 10% strain with an unchanged fluid structure at equal stress before and after overshoot. In addition, we find overshoot in normal…

Soft Condensed Matter · Physics 2015-06-17 Amit Kumar Bhattacharjee

Under application of an electric field greater than a triggering electric field $E_c \sim 0.4$ kV/mm, suspensions obtained by dispersing particles of the synthetic clay fluoro-hectorite in a silicon oil, aggregate into chain- and/or…

Materials Science · Physics 2015-05-18 Y. Méheust , K. P. S. Parmar , B. Schjelderupsen , J. O. Fossum

A new yield/damage function is proposed for modelling the inelastic behaviour of a broad class of pressure-sensitive, frictional, ductile and brittle-cohesive materials. The yield function allows the possibility of describing a transition…

Mathematical Physics · Physics 2010-10-12 Davide Bigoni , Andrea Piccolroaz

Motivated by rate-independent stress-strain hysteresis observed in filled rubber, this article considers a scalar viscoelastic model in which the constitutive law is random and varies on a lengthscale which is small relative to the overall…

Analysis of PDEs · Mathematics 2019-11-22 Thomas Hudson , Frédéric Legoll , Tony Lelièvre

We study the rheological response at low temperature of a sheared model disordered material as a function of the bond rigidity. We find that the flow curves follow a Herschel-Bulkley law, whatever is the bond rigidity, with an exponent…

Soft Condensed Matter · Physics 2014-04-01 C. Fusco , T. Albaret , A. Tanguy

In a previous work [math.AP/0305408] three of us have studied a nonlinear parabolic equation arising in the mesoscopic modelling of concentrated suspensions of particles that are subjected to a given time-dependent shear rate. In the…

Analysis of PDEs · Mathematics 2007-05-23 Eric Cancès , Isabelle Catto , Yousra Gati , Claude Le Bris

We numerically investigate the effects of fiber aspect ratio, roughness, flexibility, and flow inertia on the rheology of concentrated suspensions. We perform direct numerical simulations modeling the fibers, suspended in an incompressible…

Fluid Dynamics · Physics 2025-01-23 Monsurul Khan , Rishabh V. More , Arash Alizad Banaei , Luca Brandt , Arezoo M. Ardekani

Yield stress fluids display a rich rheological phenomenology. Beyond the defining existence of a yield stress in the steady state flow curve, this includes in many materials rather flat viscoelastic spectra over many decades of frequency in…

Soft Condensed Matter · Physics 2020-04-22 Suzanne M. Fielding

We study the solid mechanical properties of several thixotropic suspensions as a function of the shear stress history applied during their flow stoppage and their aging in their solid state. We show that their elastic modulus and yield…

Soft Condensed Matter · Physics 2008-10-21 Guillaume Ovarlez , Xavier Chateau

The mechanical response of isotropic elastoplastic materials containing random distributions of initially spherical voids is investigated computationally based on Fast Fourier Transform simulations. Numerical limit-analysis simulations at…

Materials Science · Physics 2020-12-21 J. Hure

Yield-stress fluid flow through porous media is governed by a strong coupling between rheology and pore-scale geometry, leading to nonlinear, non-Darcy transport and pronounced channelisation near yielding. We develop a pore-network model…

Fluid Dynamics · Physics 2026-05-12 Cláudio P. Fonte , Elliott Sutton , Kohei Ohie , Eleanor Doman , Yuji Tasaka , Anne Juel

Torsional oscillator experiments show evidence of mass decoupling in solid 4He. This decoupling is amplitude dependent, suggesting a critical velocity for supersolidity. We observe similar behavior in the elastic shear modulus. By measuring…

Other Condensed Matter · Physics 2010-04-15 James Day , Oleksandr Syshchenko , John Beamish

Amorphous solids increase their stress as a function of an applied strain until a mechanical yield point whereupon the stress cannot increase anymore, afterwards exhibiting a steady state with a constant mean stress. In stress controlled…

Disordered Systems and Neural Networks · Physics 2017-06-07 Giorgio Parisi , Itamar Procaccia , Corrado Rainone , Murari Singh

The modelling of the adherence energy during peeling of Pressure Sensitive Adhesives (PSA) has received much attention since the 1950's, uncovering several factors that aim at explaining their high adherence on most substrates, such as the…

In the last decade many research efforts have been focused on understanding the rheology of disordered materials, and several theoretical predictions have been put forward regarding their yielding behavior. Nevertheless, not many…

Soft Condensed Matter · Physics 2021-06-29 Carlos Villarroel , Gustavo Düring

The dynamic behavior of the slip length in a fluid flow confined between atomically smooth surfaces is investigated using molecular dynamics simulations. At weak wall-fluid interactions, the slip length increases nonlinearly with the shear…

Soft Condensed Matter · Physics 2007-10-14 Nikolai V. Priezjev

Jammed systems all have a yield stress. Among these materials some have been shown to shear-band but it is as yet unclear why some materials develop shear-band and some others do not. In order to rationalize existing data concerning the…

Soft Condensed Matter · Physics 2010-08-31 Philippe Coussot , Guillaume Ovarlez

We theoretically investigate general properties of driven (sheared) colloidal suspensions in confinement, based on methods of classical density functional theory. In the absence of an exact closed (Smoluchowski-) equation for the…

Statistical Mechanics · Physics 2015-06-18 Artem A. Aerov , Matthias Krüger