Finite width of quasistatic shear bands
Abstract
I study the average deformation rate of an amorphous material submitted to an external uniform shear strain rate, in the geometry known as the splitbottom configuration. The material is described using a stochastic model of plasticity at a mesoscopic scale. A shear band is observed to start at the split point at the bottom, and widen progressively towards the surface. In a twodimensional geometry the average statistical properties of the shear band look similar to those of the directed polymer model. In particular, the surface width of the shear band is found to scale with the system height H as H^{α} with α=0.68±0.02 . In more realistic threedimensional simulations the exponent changes to α=0.60±0.02 and the bulk profile of the width of the shear band is closer to a quarter of a circle, as it was observed to be the case in recent simulations of granular materials.
 Publication:

Physical Review E
 Pub Date:
 August 2008
 DOI:
 10.1103/PhysRevE.78.026105
 arXiv:
 arXiv:0804.3056
 Bibcode:
 2008PhRvE..78b6105J
 Keywords:

 62.20.F;
 81.40.Lm;
 Deformation and plasticity;
 Deformation plasticity and creep;
 Condensed Matter  Soft Condensed Matter;
 Condensed Matter  Materials Science
 EPrint:
 10 pages, 10 figures