9 papers
Shear Banding in Amorphous Solids as a Nonlinear Screened Soft Mode Instability
Yang Fu, Yuliang Jin, Avanish Kumar +1
Shear banding is a well-known and widespread instability in strained solids: under external strain, the deformation localizes along a line in two dimensions or a plane in three dim…
Analytic theory of shear localization in amorphous solids confined by Couette geometry
Yang Fu, Yuliang Jin, Itamar Procaccia
``Couette geometry'' refers to two concentric rings in 2-dimensions (or cylinders in 3-dimensions with a medium in between). Typically the inner and outer rings (or cylinders) rota…
Analytic Nonlinear Theory of Shear Banding in Amorphous Solids
Avanish Kumar, Itamar Procaccia
The aim of this paper is to offer an analytic theory of the shear banding instability in amorphous solids that are subjected to athermal quasi-static shear. To this aim we derive n…
Torque Hyperuniformity in Frictional Granular Matter - Theory and Experiments
Jin Shang, Jie Zhang, Itamar Procaccia
A question of some fundamental importance is whether a given assembly of frictional granules (say sand or powder) will exhibit stress autocorrelations with long-range anisotropic d…
Experimental Confirmation of Hyperuniformity of torque fluctuations in Frictional Matter
Jin Shang, Jie Zhang, Itamar Procaccia
A recent purely theoretical prediction stated that in frictional granular packings, mechanical balance and material isotropy constrain the stress auto-correlation matrix to be full…
Dipole-Induced Transition in 3-Dimensions
Itamar Procaccia, Tuhin Samanta
The Kosterlitz-Thouless and the Hexatic phase transitions are celebrated examples of dipole (vortex, dislocation) induced transitions in condensed matter physics. For very clear re…