Rate-dependent shear bands in a shear-transformation-zone model of amorphous solids

Mary Elizabeth Manning, E. G. Daub, J. S. Langer, J. M. Carlson

Research output: Contribution to journalArticle

61 Citations (Scopus)

Abstract

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 showing that the steady state effective temperature is rate dependent. The resulting model predicts a wide range of deformation behavior as a function of the initial conditions, including homogeneous deformation, broad shear bands, extremely thin shear bands, and the onset of material failure. In particular, the STZ model predicts homogeneous deformation for shorter quench times and lower strain rates, and inhomogeneous deformation for longer quench times and higher strain rates. The location of the transition between homogeneous and inhomogeneous flow on the deformation map is determined in part by the steady state effective temperature, which is likely material dependent. This model also suggests that material failure occurs due to a runaway feedback between shear heating and the local disorder, and provides an explanation for the thickness of shear bands near the onset of material failure. We find that this model, which resolves dynamics within a sheared material interface, predicts that the stress weakens with strain much more rapidly than a similar model which uses a single state variable to specify internal dynamics on the interface.

Original languageEnglish (US)
Article number016110
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume79
Issue number1
DOIs
StatePublished - Jan 5 2009
Externally publishedYes

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Shear Bands
shear
Dependent
Predict
Model
strain rate
High Strain Rate
Strain Rate
Heating
Disorder
Resolve
Preparation
Initial conditions
Likely
Internal
Formulation
disorders
formulations
Range of data
preparation

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Rate-dependent shear bands in a shear-transformation-zone model of amorphous solids. / Manning, Mary Elizabeth; Daub, E. G.; Langer, J. S.; Carlson, J. M.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 79, No. 1, 016110, 05.01.2009.

Research output: Contribution to journalArticle

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