%0 Journal Article %T Shear yielding and shear jamming of dense hard sphere glasses %+ Institut de Physique Théorique - UMR CNRS 3681 (IPHT) %+ Laboratoire de Physique Théorique de l'ENS [École Normale Supérieure] (LPTENS) %A Urbani, Pierfrancesco %A Zamponi, Francesco %Z This work was supported by a grant from the US Simons Foundation (#454955)see Simons Collaboration on Cracking the Glass Problem %Z 5 pages, 3 figures %< avec comité de lecture %Z t16/178 %@ 0031-9007 %J Physical Review Letters %I American Physical Society %V 118 %P 038001 %8 2017 %D 2017 %Z 1610.06804 %R 10.1103/PhysRevLett.118.038001 %K Cond-mat.soft %Z Physics [physics]/Condensed Matter [cond-mat]/Soft Condensed Matter [cond-mat.soft]Journal articles %X We investigate the response of dense hard sphere glasses to a shear strain, in a wide range of pressures ranging from the glass transition to the infinite-pressure jamming point. The phase diagram in the density-shear strain plane is calculated analytically using the mean field infinite dimensional solution. We find that just above the glass transition, the glass generically yields at a finite shear strain. The yielding transition, in the mean field picture, is a spinodal point in presence of disorder. At higher densities, instead, we find that the glass generically jams at a finite shear strain: the jamming transition prevents yielding. The shear yielding and shear jamming lines merge in a critical point, close to which the system yields at extremely large shear stress. Around this point, a highly non-trivial yielding dynamics characterized by system-spanning disordered fractures is expected. %G English %2 https://cea.hal.science/cea-01464220/document %2 https://cea.hal.science/cea-01464220/file/1610.06804.pdf %L cea-01464220 %U https://cea.hal.science/cea-01464220 %~ CEA %~ ENS-PARIS %~ UPMC %~ CNRS %~ LPTENS %~ DSM-IPHT %~ CEA-UPSAY %~ PSL %~ UNIV-PARIS-SACLAY %~ CEA-UPSAY-SACLAY %~ UPMC_POLE_2 %~ CEA-DRF %~ SORBONNE-UNIVERSITE %~ SU-SCIENCES %~ UP-SCIENCES %~ TEST-HALCNRS %~ ENS-PSL %~ SU-TI %~ GS-MATHEMATIQUES %~ GS-PHYSIQUE %~ ALLIANCE-SU