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We use Shear Transformation Zone (STZ) theory to develop a deformation map for amorphous solids as a function of the imposed shear rate and initial material preparation. The STZ formulation incorporates recent simulation results [Haxton and…

Soft Condensed Matter · Physics 2009-11-13 M. L. Manning , E. G. Daub , J. S. Langer , J. M. Carlson

The occurence of shear bands in a complex fluid is generally understood as resulting from a structural evolution of the material under shear, which leads (from a theoretical perspective) to a non-monotonic stationnary flow curve related to…

Soft Condensed Matter · Physics 2012-06-22 Sylvain Bénito , François Molino , Charles-Henri Bruneau , Thierry Colin , Cyprien Gay

A shear band of finite length, formed inside a ductile material at a certain stage of a con- tinued homogeneous strain, provides a dynamic perturbation to an incident wave field, which strongly influences the dynamics of the material and…

Computational Physics · Physics 2018-01-08 Diana Giarola , Domenico Capuani , Davide Bigoni

This investigation extends earlier studies of a shear-transformation-zone (STZ) theory of plastic deformation in amorphous solids. My main purpose here is to explore the possibility that the configurational degrees of freedom of such…

Materials Science · Physics 2009-11-10 J. S. Langer

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

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

We model a sheared disordered solid using the theory of Shear Transformation Zones (STZs). In this mean-field continuum model the density of zones is governed by an effective temperature that approaches a steady state value as energy is…

Soft Condensed Matter · Physics 2009-11-13 M. L. Manning , J. S. Langer , J. M. Carlson

Plastic deformation in metallic glasses at room temperature leads to the development of shear bands due to shear localization. In many experiments, shear bands have shown local density variations along their path, with a distinct imbalance…

Disordered Systems and Neural Networks · Physics 2024-07-22 Harald Rösner , Arabinda Bera , Alessio Zaccone

High pressure shear band formation is a critical phenomenon in energetic materials due to its influence on both mechanical strength and mechanochemical activation. While shear banding is know to occur in a variety of these materials, the…

Materials Science · Physics 2024-02-14 Brenden W. Hamilton , Timothy C. Germann

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

Traditionally, the formation of amorphous shear bands (SBs) in crystalline materials has been undesirable, because SBs can nucleate voids and act as precursors to fracture. They also form as a final stage of accumulated damage. Only…

The slow flow of amorphous solids exhibits striking heterogeneities: swift localised particle rearrangements take place in the midst of a more or less homogeneously deforming medium. Recently, experimental as well as numerical work has…

Soft Condensed Matter · Physics 2014-03-04 Alexandre Nicolas , Joerg Rottler , Jean-Louis Barrat

A model of a shear band as a zero-thickness nonlinear interface is proposed and tested using finite element simulations. An imperfection approach is used in this model where a shear band, that is assumed to lie in a ductile matrix material…

Materials Science · Physics 2015-01-29 N. Bordignon , A. Piccolroaz , F. Dal Corso , D. Bigoni

Experimental, theoretical, and numerical studies of adiabatic shear in ductile metals suggest initial defects such as pores or material imperfections increase shear-band susceptibility. Conversely, viscous effects manifesting…

Materials Science · Physics 2025-06-16 John D. Clayton

Variable-amplitude oscillatory shear tests are emerging as powerful tools to investigate and quantify the nonlinear rheology of amorphous solids, complex fluids and biological materials. Quite a few recent experimental and atomistic…

Materials Science · Physics 2015-06-19 Nathan Perchikov , Eran Bouchbinder

Large-scale molecular dynamics simulations of shear deformation under constant pressures of amorphous silicon, PT from low-density-amorphous (LDA) to high-density-amorphous (HDA) Si, and formation of shear bands (SBs) are performed using…

Materials Science · Physics 2026-05-07 Hao Chen , Valery I. Levitas , Tengyi Liu , Jingyu Lu , Rui Zhu , Zhongqiang Zhang

When granular materials with interstitial liquid bridges are sheared in a split-bottom cell, a localized shear band develops, accompanied by a surface elevation. Cohesion, governed by the surface tension of the interstitial liquid, enhances…

Soft Condensed Matter · Physics 2026-01-06 Huzaif Rahim , Thorsten Poeschel , Sudeshna Roy

The shear-banding instability in quasi-statically driven bulk metallic glasses emerges from collective dynamics, mediated by shear transformation zones and associated non-local elastic interactions. It is also phenomenologically known that…

``Shear softening" refers to the observed reduction in shear modulus when the stress on an amorphous solid is increased beyond the initial linear region. Careful numerical quasi-static simulations reveal an intimate relation between plastic…

Soft Condensed Matter · Physics 2013-12-17 Vijayakumar Chikkadi , Oleg Gendelman , Valery Ilyin , J Ashwin , Itamar Procaccia

Granular materials react to shear stresses differently than do ordinary fluids. Rather than deforming uniformly, materials such as dry sand or cohesionless powders develop shear bands: narrow zones containing large relative particle motion…