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We use considerations of energy balance and dissipation to derive a self-consistent version of the shear-transformation-zone (STZ) theory of plastic deformation in amorphous solids. The theory is generalized to include arbitrary spatial…

软凝聚态物质 · 物理学 2007-05-23 Leonid Pechenik

The shear-transformation-zone (STZ) theory of plastic deformation in glass-forming materials is reformulated in light of recent progress in understanding the roles played the effective disorder temperature and entropy flow in nonequilibrium…

材料科学 · 物理学 2009-11-13 J. S. Langer

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).…

材料科学 · 物理学 2013-05-29 Eran Bouchbinder , J. S. Langer , Itamar Procaccia

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…

材料科学 · 物理学 2009-11-10 J. S. Langer

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…

统计力学 · 物理学 2017-08-23 Michael L. Falk , James 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…

材料科学 · 物理学 2013-05-29 Eran Bouchbinder , J. S. Langer , Itamar Procaccia

We use energetic considerations to deduce the form of a previously uncertain coupling term in the shear-transformation-zone (STZ) theory of plastic deformation in amorphous solids. As in the earlier versions of the STZ theory, the onset of…

材料科学 · 物理学 2009-11-10 J. S. Langer , L. Pechenik

The shear-transformation-zone (STZ) theory of plastic deformation predicts that sufficiently soft, non-crystalline solids are linearly unstable against forming periodic arrays of microstructural shear bands. A limited nonlinear analysis…

材料科学 · 物理学 2009-11-07 J. S. Langer

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…

材料科学 · 物理学 2016-08-16 Anaël Lemaître , Jean Carlson

Recently, the existence and properties of unbounded cavity modes, resulting in extensive plastic deformation failure of two-dimensional sheets of amorphous media, were discussed in the context of the athermal Shear-Transformation-Zones…

材料科学 · 物理学 2009-11-13 Eran Bouchbinder , Ting-Shek Lo , Itamar Procaccia , Elad Shtilerman

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…

软凝聚态物质 · 物理学 2009-11-13 M. L. Manning , E. G. Daub , J. S. Langer , J. M. Carlson

We use the internal-variable, effective-temperature thermodynamics developed in two preceding papers to reformulate the shear-transformation-zone (STZ) theory of amorphous plasticity. As required by the preceding analysis, we make explicit…

材料科学 · 物理学 2015-05-13 Eran Bouchbinder , J. S. Langer

A two-dimensional version of the shear-transformation-zone (STZ) theory by Falk and Langer is explored numerically. Two different geometries are used to simulate uniaxial tension experiments where materials are subjected to constant strain…

材料科学 · 物理学 2007-05-23 L. O. Eastgate

The understanding of dynamic failure in amorphous materials via the propagation of free boundaries like cracks and voids must go beyond elasticity theory, since plasticity intervenes in a crucial and poorly understood manner near the moving…

材料科学 · 物理学 2009-11-13 Eran Bouchbinder , Ting-Shek Lo , Itamar Procaccia

The shear-transformation-zone (STZ) theory has been remarkably successful in accounting for broadly peaked, frequency-dependent, viscoelastic responses of amorphous systems near their glass temperatures $T_g$. This success is based on the…

统计力学 · 物理学 2012-02-02 J. 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…

软凝聚态物质 · 物理学 2009-11-13 M. L. Manning , J. S. Langer , J. M. Carlson

Plastic deformation in amorphous solids is known to be carried by stress-induced localized rearrangements of a few tens of particles, accompanied by the conversion of elastic energy to heat. Despite their central role in determining how…

软凝聚态物质 · 物理学 2021-03-03 David Richard , Geert Kapteijns , Julia A. Giannini , M. Lisa Manning , Edan Lerner

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…

统计力学 · 物理学 2013-11-14 Charles K. C. Lieou , J. S. Langer

We present a shear-transformation-zone (STZ) theoretical analysis of molecular-dynamics simulations of a rapidly sheared metallic glass. These simulations are especially revealing because, although they are limited to high strain rates,…

材料科学 · 物理学 2015-06-04 J. S. Langer , Takeshi Egami

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…

材料科学 · 物理学 2015-03-17 Eran Bouchbinder , J. S. Langer
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