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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…

Materials Science · Physics 2009-11-07 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

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…

Soft Condensed Matter · Physics 2021-03-03 David Richard , Geert Kapteijns , Julia A. Giannini , M. Lisa Manning , Edan Lerner

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…

Materials Science · Physics 2009-11-13 J. S. Langer

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…

Soft Condensed Matter · Physics 2007-05-23 Leonid Pechenik

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…

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

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

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

Experimental measurements of the onset of granular flow are directly compared to predictions of the "shear transformation zone" (STZ) theory of amorphous plasticity. The STZ equations make it possible, on a coarse grained level, to…

Statistical Mechanics · Physics 2010-08-17 Michael L. Falk , Masahiro Toiya , Wolfgang Losert

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 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

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…

Materials Science · Physics 2007-05-23 L. O. Eastgate

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

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…

Statistical Mechanics · Physics 2012-02-02 J. S. Langer

We develop an athermal shear-transformation-zone (STZ) theory of plastic deformation in spatially inhomogeneous, amorphous solids. Our ultimate goal is to describe the dynamics of the boundaries of voids or cracks in such systems when they…

Materials Science · Physics 2009-11-11 Eran Bouchbinder , J. S. Langer , Ting-Shek Lo , Itamar Procaccia

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

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

Shear banding is a fundamental non-equilibrium phenomenon in amorphous solids. Due to the intrinsic entangling of three local atomic motions: shear, dilatation and rotation, the precise physical process of shear band emergence is still an…

Disordered Systems and Neural Networks · Physics 2022-02-23 Zeng-Yu Yang , Yun-Jiang Wang , Lan-Hong Dai

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

We extend our earlier shear-transformation-zone (STZ) theory of amorphous plasticity to include the effects of thermally assisted molecular rearrangements. This version of our theory is a substantial revision and generalization of…

Materials Science · Physics 2009-11-10 M. L. Falk , J. S. Langer , L. Pechenik
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