Hot spots in an athermal system.

We study experimentally the dynamical heterogeneities occurring at slow shear, in a model amorphous glassy material, i.e., a 3D granular packing. The deformation field is resolved spatially by using a diffusive wave spectroscopy technique. The heterogeneities show up as localized regions of strong deformations spanning a mesoscopic size of about 10 grains and called the "hot spots." The spatial clustering of hot spots is linked to the subsequent emergence of shear bands. Quantitatively, their appearance is associated with the macroscopic plastic deformation, and their rate of occurrence gives a physical meaning to the concept of "fluidity," recently used to describe the local and nonlocal rheology of soft glassy materials.

[1]  S. Roux,et al.  Strain localization and anisotropic correlations in a mesoscopic model of amorphous plasticity , 2010, 1005.2463.

[2]  W. Marsden I and J , 2012 .

[3]  Yehuda Ben-Zion,et al.  A simple analytic theory for the statistics of avalanches in sheared granular materials , 2011 .

[4]  É. Clément,et al.  Creep and fluidity of a real granular packing near jamming. , 2011, Physical review letters.

[5]  J. Crassous,et al.  Mechanical response of granular media: New insights from Diffusing-Wave Spectroscopy , 2010 .

[6]  A. Colin,et al.  How does a soft glassy material flow: finite size effects, non local rheology, and flow cooperativity , 2010 .

[7]  Itamar Procaccia,et al.  Predicting plastic flow events in athermal shear-strained amorphous solids. , 2010, Physical review letters.

[8]  B. Tighe,et al.  Couette flow of two-dimensional foams , 2010, 1001.4723.

[9]  I. Procaccia,et al.  Scaling theory for steady-state plastic flows in amorphous solids. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  A. Lemaître,et al.  Rate-dependent avalanche size in athermally sheared amorphous solids. , 2009, Physical review letters.

[11]  A. Colin,et al.  Kinetic theory of plastic flow in soft glassy materials. , 2009, Physical review letters.

[12]  J. Crassous,et al.  Diffusive wave spectroscopy applied to the spatially resolved deformation of a solid. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  A. Colin,et al.  Spatial cooperativity in soft glassy flows , 2008, Nature.

[14]  J. Crassous Diffusive Wave Spectroscopy of a random close packing of spheres , 2007, The European physical journal. E, Soft matter.

[15]  J. Barrat,et al.  Plastic response of a 2D Lennard-Jones amorphous solid: Detailed analysis of the local rearrangements at very slow strain rate , 2006, The European physical journal. E, Soft matter.

[16]  C. Maloney,et al.  Amorphous systems in athermal, quasistatic shear. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  G. Debrégeas,et al.  Local stress relaxation and shear banding in a dry foam under shear. , 2002, Physical review letters.

[18]  A. Ajdari,et al.  Simple model for heterogeneous flows of yield stress fluids. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  A. Ajdari,et al.  Rheology and aging: A simple approach , 2001 .

[20]  J. Langer,et al.  Dynamics of viscoplastic deformation in amorphous solids , 1997, cond-mat/9712114.

[21]  Peter Sollich Rheological constitutive equation for a model of soft glassy materials , 1997, cond-mat/9712001.

[22]  Peter Sollich,et al.  Rheology of Soft Glassy Materials , 1996, cond-mat/9611228.

[23]  A. Argon Plastic deformation in metallic glasses , 1979 .