title: From depinning transition to plastic yielding of amorphous media: A soft-modes perspective.
abstract: A mesoscopic model of amorphous plasticity is discussed in the context of depinning models. After embedding in a d+1-dimensional space, where the accumulated plastic strain lives along the additional dimension, the gradual plastic deformation of amorphous media can be regarded as the motion of an elastic manifold in a disordered landscape. While the associated depinning transition leads to scaling properties, the quadrupolar Eshelby interactions at play in amorphous plasticity induce specific additional features like shear-banding and weak ergodicity breakdown. The latters are shown to be controlled by the existence of soft modes of the elastic interaction, the consequence of which is discussed in the context of depinning.
authors.affiliation: PMMH, ESPCI/CNRS-UMR 7636/Université Paris 6 UPMC/Université Paris 7 Diderot, 10 rue Vauquelin, 75231 Paris Cedex 05, France.|Physics Department, University Babeş-Bolyai, Cluj, Romania.
authors.forename: Botond
authors.initials: B
authors.lastname: Tyukodi
authors.affiliation: PMMH, ESPCI/CNRS-UMR 7636/Université Paris 6 UPMC/Université Paris 7 Diderot, 10 rue Vauquelin, 75231 Paris Cedex 05, France.
authors.forename: Sylvain
authors.initials: S
authors.lastname: Patinet
authors.affiliation: LMT, ENS-Cachan/CNRS-UMR 8535/Université Paris-Saclay, 61 Avenue du Président Wilson, 94235 Cachan Cedex, France.
authors.forename: Stéphane
authors.initials: S
authors.lastname: Roux
authors.affiliation: PMMH, ESPCI/CNRS-UMR 7636/Université Paris 6 UPMC/Université Paris 7 Diderot, 10 rue Vauquelin, 75231 Paris Cedex 05, France.
authors.forename: Damien
authors.initials: D
authors.lastname: Vandembroucq