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Predicting the time-dependent yielding of colloidal gels under constant stress enables control of their mechanical stability and transport. Using rotational rheometry, we show that the shear rate of colloidal gels during an early stage of…

Soft Condensed Matter · Physics 2022-09-26 Jae Hyung Cho , Irmgard Bischofberger

The viscoplastic deformation (creep) of crystalline materials under constant stress involves the motion of a large number of interacting dislocations. Analytical methods and sophisticated `dislocation-dynamics' simulations have proved very…

Statistical Mechanics · Physics 2009-11-07 M. -Carmen Miguel , Alessandro Vespignani , Stefano Zapperi , Jerome Weiss , Jean-Robert Grasso

Polymer-based plastics exhibit time-dependent deformation under constant stress, known as creep, which can lead to rupture or static fatigue. A common misconception is that materials under tolerable static loads remain unaffected over time.…

Classical Physics · Physics 2025-10-15 José Geraldo Telles Ribeiro , Americo Cunha

A continuum theory based on thermodynamics has been developed for modeling diffusional creep of polycrystalline solids. It consists of a coupled problem of vacancy diffusion and mechanics where the vacancy generation/absorption at grain…

Materials Science · Physics 2019-11-18 M. Magri , G. Lemoine , L. Adam , J. Segurado

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 develop an elasto-plastic description for the transient dynamics prior to steady flow of athermally yielding materials. Our mean-field model not only reproduces the experimentally observed non-linear time dependence of the shear-rate…

Soft Condensed Matter · Physics 2018-02-06 Chen Liu , Kirsten Martens , Jean-Louis Barrat

We present creep experiments on fiber composite materials with controlled heterogeneity. Recorded strain rates and acoustic emission rates exhibit a power law relaxation in the primary creep regime (Andrade law) followed by a power law…

Materials Science · Physics 2009-11-10 H. Nechad , A. Helmstetter , R. El Guerjouma , D. Sornette

The spatial fluctuations of deformation are studied in creep in the Andrade's power-law and the logarithmic phases, using paper samples. Measurements by the Digital Image Correlation technique show that the relative strength of the strain…

Statistical Mechanics · Physics 2010-08-31 Jari Rosti , Juha Koivisto , Lasse Laurson , Mikko J. Alava

Jamming transitions and the rheology of granular avalanches in fluids are investigated using experiments and numerical simulations. Simulations use the lattice-Boltzmann method coupled with the discrete element method, providing detailed…

Soft Condensed Matter · Physics 2024-08-27 Zhuan Ge , Teng Man , Kimberly M. Hill , Yujie Wang , Sergio Andres Galindo-Torres

When submitted to a constant mechanical load, many amorphous solids display power law creep followed by fluidization. A fundamental understanding of these processes is still far from being achieved. Here, we characterize creep and…

Soft Condensed Matter · Physics 2016-10-25 Samy Merabia , François Detcheverry

Amorphous solids such as coffee foam, toothpaste or mayonnaise display a transient creep flow when a stress $\Sigma$ is suddenly imposed. The associated strain rate is commonly found to decay in time as $\dot{\gamma} \sim t^{-\nu}$,…

Soft Condensed Matter · Physics 2022-11-23 Marko Popović , Tom W. J. de Geus , Wencheng Ji , Alberto Rosso , Matthieu Wyart

Built on the tenets of rational thermodynamics, this article proposes a theory of strain gradient thermo-visco-plasticity for isotropic polycrystalline materials under high strain rates. The effect of micro-inertia, which arises due to…

Materials Science · Physics 2016-01-28 Md M Rahaman , A Pathak , D Roy , J N Reddy

The thermodynamical model of viscoelastic deformable solids at finite strains with Kelvin-Voigt rheology with a higher-order viscosity (using the concept of multipolar materials) is formulated in a fully Eulerian way in rates. Assumptions…

Analysis of PDEs · Mathematics 2025-02-05 Tomáš Roubíček

Attractive colloidal gels display a solid-to-fluid transition as shear stresses above the yield stress are applied. This shear-induced transition is involved in virtually any application of colloidal gels. It is also crucial for controlling…

Soft Condensed Matter · Physics 2009-11-09 Thomas Gibaud , Frelat Damien , Sébastien Manneville

This work presents a new constitutive and computational framework based on strain-like internal variables belonging to Sym(3) and two representative rheological configurations. The generalized Maxwell and generalized Kelvin-Voigt models are…

Soft Condensed Matter · Physics 2025-08-21 Chongran Zhao , Hongyan Yuan , Ju Liu

This paper presents a comprehensive computational framework for investigating thermo-elastic fracture in transversely isotropic materials, where classical linear elasticity fails to predict physically realistic behavior near stress…

Numerical Analysis · Mathematics 2025-10-08 Saugata Ghosh , Dambaru Bhatta , S. M. Mallikarjunaiah

A transition from solid-like to liquid-like behavior occurs when colloidal gels are subjected to a prolonged exposure to a steady shear. This phenomenon, which is characterized by a yielding point, is found to be strongly dependent on the…

Soft Condensed Matter · Physics 2019-02-08 José Ruiz-Franco , Nicoletta Gnan , Emanuela Zaccarelli

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

In this Thesis we first show how the shape of the Peierls barrier and its dependence on the applied loading can be extracted from the data obtained in atomistic studies at 0 K. We consider the Peierls barrier as a two-dimensional periodic…

Materials Science · Physics 2007-07-25 Roman Gröger

The flow of a colloidal solution between two parallel disks rotating with the same angular velocity about two non-coincident axes was studied. The problem has been approached from two perspectives, the first wherein the stress is expressed…

Soft Condensed Matter · Physics 2025-12-02 Krishna Kaushik Yanamundra , Chandler C. Benjamin , Kumbakonam Ramamani Rajagopal