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This study proposes a coherent scenario of the formation of permanent shear bands in the flow of yield stress materials. It is a well accepted point of view that flow in disordered media is occurring via local plastic events, corresponding…

Soft Condensed Matter · Physics 2012-09-17 Kirsten Martens , Lydéric Bocquet , Jean-Louis Barrat

We use the shear transformation zone (STZ) theory of dynamic plasticity to study the necking instability in a two-dimensional strip of amorphous solid. Our Eulerian description of large-scale deformation allows us to follow the instability…

Materials Science · Physics 2007-05-23 L. O. Eastgate , J. S. Langer , L. Pechenik

We perform large scale simulations of a two dimensional lattice model for amorphous plasticity with random local yield stresses and long-range quadrupolar elastic interactions. We show that as the external stress increases towards the…

Soft Condensed Matter · Physics 2013-12-12 Zoe Budrikis , Stefano Zapperi

We demonstrate that plastic deformation in solids is associated with a dynamic transition that is reminiscent to the transition from a superconducting to a mixed phase in Type II superconductors. We report analytic calculations, extensive…

Soft Condensed Matter · Physics 2016-12-06 Saswati Ganguly , Juergen Horbach , Peter Sollich , Smarajit Karmakar , Surajit Sengupta

Shear localization occurs in various instances of material instability in solid mechanics and is typically associated with Hadamard-instability for an underlying model. While Hadamard instability indicates the catastrophic growth of…

Analysis of PDEs · Mathematics 2017-03-09 Theodoros Katsaounis , Julien Olivier , Athanasios E. Tzavaras

Yield stress fluids display complex dynamics, in particular when driven into the transient regime between the solid and the flowing state. Inspired by creep experiments on dense amorphous materials, we implement mesocale elasto-plastic…

Soft Condensed Matter · Physics 2018-10-01 Chen Liu , Ezequiel E. Ferrero , Kirsten Martens , Jean-Louis Barrat

We measure the local yield stress, at the scale of small atomic regions, in a deeply quenched two-dimensional glass model undergoing shear banding in response to athermal quasistatic (AQS) deformation. We find that the occurrence of…

Materials Science · Physics 2020-03-17 Armand Barbot , Matthias Lerbinger , Anaël Lemaître , Damien Vandembroucq , Sylvain Patinet

Since the 1970's, theories of deformation and failure of amorphous, solidlike materials have started with models in which stress-driven, molecular rearrangements occur at localized flow defects via "shear transformations". This picture is…

Statistical Mechanics · Physics 2017-08-23 Michael L. Falk , James S. Langer

To understand how dislocations form ordered structures during the deformation of metals, we perform computer simulation studies of the dynamics and patterning of screw dislocations in two dimensions. The simulation is carried out using an…

Materials Science · Physics 2007-05-23 Robin L. B. Selinger , Brian B. Smith , Wei-Dong Luo

We numerically investigate the athermal creep deformation of amorphous materials having a wide range of stability. The imposed shear stress serves as the control parameter, allowing us to examine the time-dependent transient response…

Soft Condensed Matter · Physics 2025-10-13 Pinaki Chaudhuri , Ludovic Berthier , Misaki Ozawa

We develop and extend a method presented in [S. Patinet, D. Vandembroucq, and M. L. Falk, Phys. Rev. Lett., 117, 045501 (2016)] to compute the local yield stresses at the atomic scale in model two-dimensional Lennard-Jones glasses produced…

In this work, a higher-order irrotational strain gradient plasticity theory is studied in the small strain regime. A detailed numerical study is based on the problem of simple shear of a non-homogeneous block comprising an elastic-plastic…

Materials Science · Physics 2019-06-26 Nothando Mhlongo , B Daya Reddy

We report the experimental observation of the bifurcation at the origin of localization of the deformation in a granular material submitted to uniaxial compression. We present a quantitative characterization of the heterogeneity in the…

Soft Condensed Matter · Physics 2016-12-07 Thai Binh Nguyen , Axelle Amon

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

We analyze in details the atomistic response of a model amorphous material submitted to plastic shear in the athermal, quasistatic limit. After a linear stress-strain behavior, the system undergoes a noisy plastic flow. We show that the…

Materials Science · Physics 2009-11-11 Anne Tanguy , Fabien Leonforte , J. -L. Barrat

Plastic deformation of crystalline and amorphous matter often involves intermittent local strain burst events. To understand the physical background of the phenomenon a minimal stochastic mesoscopic model was introduced, where…

Materials Science · Physics 2017-02-15 Péter Dusán Ispánovity , Dániel Tüzes , Péter Szabó , Michael Zaiser , István Groma

We consider a sheared granular system experiencing intermittent dynamics of stick-slip type via discrete element simulations. The considered setup consists of a two-dimensional system of soft frictional particles sandwiched between solid…

Soft Condensed Matter · Physics 2023-05-24 Philip Bretz , Lou Kondic , Miro Kramar

We perform molecular dynamics simulations to characterize the occurrence of inhomogeneous shear flows in soft jammed materials. We use rough walls to impose a simple shear flow and study the athermal motion of jammed assemblies of soft…

Soft Condensed Matter · Physics 2012-02-23 Pinaki Chaudhuri , Ludovic Berthier , Lydéric Bocquet

Recent flow cessation experiments on soft materials have shown a counter-intuitive non-monotonic relaxation of the shear stress: following the switch-off of a steady imposed shear flow, the stress initially decays before later increasing…

Soft Condensed Matter · Physics 2025-01-22 Vanessa K. Ward , Suzanne M. Fielding

In the experiments on stress-induced phase transitions in SMA strips, several interesting instability phenomena have been observed, including a necking-type instability, a shear-type instability and an orientation instability. By using the…

Classical Physics · Physics 2009-10-15 Hui-Hui Dai , Zongxi Cai
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