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A two dimensional amorphous material is modeled as an assembly of mesoscopic elemental pieces coupled together to form an elastically coherent structure. Plasticity is introduced as the existence of different minima in the energy landscape…

Materials Science · Physics 2007-07-05 E. A. Jagla

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

Shear strain localization into shear bands is associated with velocity weakening instabilities and earthquakes. Here, we simulate steady-state plane-shear flow of numerical granular material (gouge), confined between parallel surfaces. Both…

Soft Condensed Matter · Physics 2021-11-09 Stanislav Parez , Tereza Travnickova , Martin Svoboda , Einat Aharonov

We present a linearized shear-transformation-zone (STZ) theory of glassy dynamics in which the internal STZ transition rates are characterized by a broad distribution of activation barriers. For slowly aging or fully aged systems, the main…

Materials Science · Physics 2015-03-17 Eran Bouchbinder , J. S. Langer

Shear strain localization refers to the phenomenon of accumulation of material deformation in narrow slip zones. Many materials exhibit strain localization under different spatial and temporal scales, particularly rocks, metals, soils, and…

Geophysics · Physics 2023-05-04 Yury Alkhimenkov , Lyudmila Khakimova , Ivan Utkin , Yury Podladchikov

We combine the shear-transformation-zone (STZ) theory of amorphous plasticity with Edwards' statistical theory of granular materials to describe shear flow in a disordered system of thermalized hard spheres. The equations of motion for this…

Statistical Mechanics · Physics 2013-11-14 Charles K. C. Lieou , J. S. Langer

This paper examines the stability of a previously proposed version of the shear-transformation-zone (STZ) theory of plasticity where the total STZ population is determined by an effective temperature and compares it to experimental results…

Materials Science · Physics 2007-05-23 Anthony Foglia

Localized deformation patterns are a common motif in morphogenesis and are increasingly finding widespread applications in materials science, for instance as memory devices. Here we describe the emergence of spatially localized deformations…

Soft Condensed Matter · Physics 2019-06-12 Thomas C. T. Michaels , Remy Kusters , Alexander J. Dear , Cornelis Storm , James C. Weaver , L. Mahadevan

A characteristic feature of the Earth is that diffuse thermal convection in the mantle produces localized deformation at the surface: Plate Tectonics. However, modelling this phenomenon remains a challenge, due to inability to simulate…

We study experimentally the fluctuations of deformation along a shear fault naturally emerging within a compressed frictional granular medium. Using laser interferometry, we show that the deformation inside this granular gouge occurs as a…

Soft Condensed Matter · Physics 2020-07-08 David Houdoux , Axelle Amon , David Marsan , Jérôme Weiss , Jérôme Crassous

Recently introduced constitutive equations for the rheology of dense, disordered materials are investigated in the context of stick-slip experiments in boundary lubrication. The model is based on a generalization of the shear transformation…

Materials Science · Physics 2016-08-16 Anaël Lemaître , Jean Carlson

A mesoscopic model for shear plasticity of amorphous materials in two dimensions is introduced, and studied through numerical simulations in order to elucidate the macroscopic (large scale) mechanical behavior. Plastic deformation is…

Soft Condensed Matter · Physics 2012-05-17 Mehdi Talamali , Viljo Petäjä , Damien Vandembroucq , Stéphane Roux

The success of the shear-transformation-zone (STZ) theory in accounting for broadly peaked, frequency-dependent, glassy viscoelastic response functions is based on the theory's first-principles prediction of a wide range of internal STZ…

Statistical Mechanics · Physics 2011-08-23 J. S. Langer

Friction plays a fundamental role in many natural processes, including earthquakes, landslides, and volcanic eruptions. Earthquakes occur when highly compressed fault surfaces accumulate large enough shear stresses, causing the faults to…

Materials Science · Physics 2026-02-16 Mary Agajanian , Nadia Lapusta , Anna Pandolfi , Michael Ortiz

Slow earthquakes differ from regular earthquakes in their slower moment release and size distribution dominated by smaller events. However, the physical origin of these slow earthquake statistics remains controversial. In this work, we…

Geophysics · Physics 2025-12-02 Yuto Sasaki , Hiroaki Katsuragi

Seismogenic plate boundaries are presumed to behave in a similar manner to a densely packed granular medium, where fault and blocks systems rapidly rearrange the distribution of forces within themselves, as particles do in slowly sheared…

We develop an athermal version of the shear-transformation-zone (STZ) theory of amorphous plasticity in materials where thermal activation of irreversible molecular rearrangements is negligible or nonexistent. In many respects, this theory…

Materials Science · Physics 2013-05-29 Eran Bouchbinder , J. S. Langer , Itamar Procaccia

Sheared granular layers undergoing stick slip behavior are broadly employed to study the physics and dynamics of earthquakes. Here, a two dimensional implementation of the combined finite discrete element method (FDEM), which merges the…

The concept of a Shear Transformation Zone (STZ) refers to a region in an amorphous solid that undergoes a plastic event when the material is put under an external mechanical load. An important question that had accompanied the development…

Soft Condensed Matter · Physics 2015-06-10 Oleg Gendelman , Prabhat K. Jaiswal , Itamar Procaccia , Bhaskar Sen Gupta , Jacques Zylberg

In the preceding paper, we developed an athermal shear-transformation-zone (STZ) theory of amorphous plasticity. Here we use this theory in an analysis of numerical simulations of plasticity in amorphous silicon by Demkowicz and Argon (DA).…

Materials Science · Physics 2013-05-29 Eran Bouchbinder , J. S. Langer , Itamar Procaccia